-
2
-
-
84855766168
-
Rank gradient, cost of groups and the rank versus Heegaard genus problem
-
to appear
-
M. Abért and N. Nikolov, Rank gradient, cost of groups and the rank versus Heegaard genus problem, J. Euro. Math. Soc., to appear.
-
(2020)
J. Euro. Math. Soc.
-
-
Abért, M.1
Nikolov, N.2
-
3
-
-
38249028223
-
Explicit construction of linear sized tolerant networks
-
N. Alon and Fan R.K. Chung, Explicit construction of linear sized tolerant networks, Discrete Mathematics 72 (1988), 15-19.
-
(1988)
Discrete Mathematics
, vol.72
, pp. 15-19
-
-
Alon, N.1
Chung, F.R.K.2
-
4
-
-
84855766166
-
-
42nd IEEE Symposium on Foundations of Computer Science (Las Vegas, NV, 2001), 630637, IEEE Computer Soc., Los Alamitos, CA
-
N. Alon, A. Lubotzky and A, Wigderson, Semi-direct product in groups and zigzag product in graphs: connections and applications (extended abstract), 42nd IEEE Symposium on Foundations of Computer Science (Las Vegas, NV, 2001), 630637, IEEE Computer Soc., Los Alamitos, CA, 2001.
-
(2001)
Semi-direct product in groups and zigzag product in graphs: connections and applications (extended abstract)
-
-
Alon, N.1
Lubotzky, A.2
Wigderson, A.3
-
5
-
-
0025535126
-
-
31st Annual Symposium on Foundations of Computer Science, Vol. I, II (St. Louis, MO, 1990), 857-865, IEEE Comput. Soc. Press, Los Alamitos, CA
-
L. Babai, G. Hetyei, W.M. Kantor, A. Lubotzky, and A. Seress, On the diameter of finite groups, 31st Annual Symposium on Foundations of Computer Science, Vol. I, II (St. Louis, MO, 10), 857-865, IEEE Comput. Soc. Press, Los Alamitos, CA, 1990.
-
(1990)
On the diameter of finite groups
-
-
Babai, L.1
Hetyei, G.2
Kantor, W.M.3
Lubotzky, A.4
Seress, A.5
-
6
-
-
85009806236
-
Small-diameter Cayley graphs for finite simple groups
-
L. Babai,W.M. Kantor and A. Lubotzky, Small-diameter Cayley graphs for finite simple groups, European J. Combin. 10 (1989), no. 6, 507-522.
-
(1989)
European J. Combin.
, vol.10
, Issue.6
, pp. 507-522
-
-
Babai, L.1
Kantor, W.M.2
Lubotzky, A.3
-
7
-
-
58449095230
-
Product growth and mixing in finite groups
-
248-257, ACM, New York
-
L. Babai, N. Nikolov and L. Pyber, Product growth and mixing in finite groups, Proceedings of the Nineteenth Annual ACM-SIAM Symposium on Discrete Algorithms, 248-257, ACM, New York, 2008.
-
(2008)
Proceedings of the Nineteenth Annual ACM-SIAM Symposium on Discrete Algorithms
-
-
Babai, L.1
Nikolov, N.2
Pyber, L.3
-
8
-
-
57849147754
-
On amenability of group algebras
-
L. Bartholdi, On amenability of group algebras. I, Israel J. Math. 168 (2008), 153-165.
-
(2008)
I, Israel J. Math.
, vol.168
, pp. 153-165
-
-
Bartholdi, L.1
-
10
-
-
0033476287
-
On the full C*-algebras of arithmetic groups and the congruence subgroup problem
-
M.B. Bekka, On the full C*-algebras of arithmetic groups and the congruence subgroup problem, Forum Math. 11 (1999), no. 6, 705-715.
-
(1999)
Forum Math
, vol.11
, Issue.6
, pp. 705-715
-
-
Bekka, M.B.1
-
12
-
-
62849098128
-
Expanders and dimensional expansion
-
J. Bourgain, Expanders and dimensional expansion, C. R. Math. Acad. Sci. Paris 347 (2009), no. 7-8, 357-362.
-
(2009)
C. R. Math. Acad. Sci. Paris
, vol.347
, Issue.7-8
, pp. 357-362
-
-
Bourgain, J.1
-
13
-
-
84855803804
-
New developments in combinatorial number theory and applications, European Congress of Mathematics
-
Zurich
-
J. Bourgain, New developments in combinatorial number theory and applications, European Congress of Mathematics, 233-251, Eur. Math. Soc., Zurich, 2010.
-
(2010)
Eur. Math. Soc.
, pp. 233-251
-
-
Bourgain, J.1
-
14
-
-
79959877524
-
A proof of the positive density conjecture for integer Apollonian circle packings
-
J. Bourgain and E. Fuchs, A proof of the positive density conjecture for integer Apollonian circle packings, J. Amer. Math. Soc. 24 (2011), 945-967.
-
(2011)
J. Amer. Math. Soc.
, vol.24
, pp. 945-967
-
-
Bourgain, J.1
Fuchs, E.2
-
15
-
-
34447341450
-
Invariant measures and stiffness for non-abelian groups of toral automorphisms
-
J. Bourgain, A. Furman, E. Lindenstrauss and S. Mozes, Invariant measures and stiffness for non-abelian groups of toral automorphisms, C. R.Math. Acad. Sci. Paris 344 (2007), no. 12, 737-742.
-
(2007)
C. R. Math. Acad. Sci. Paris
, vol.344
, Issue.12
, pp. 737-742
-
-
Bourgain, J.1
Furman, A.2
Lindenstrauss, E.3
Mozes, S.4
-
16
-
-
44449104463
-
Uniform expansion bounds for Cayley graphs of SL2(Fp)
-
(2)
-
J. Bourgain and A. Gamburd, Uniform expansion bounds for Cayley graphs of SL2(Fp), Ann. of Math. (2) 167 (2008), no. 2, 625-642.
-
(2008)
Ann. of Math.
, vol.167
, Issue.2
, pp. 625-642
-
-
Bourgain, J.1
Gamburd, A.2
-
17
-
-
36849017888
-
On the spectral gap for finitely-generated subgroups of SU(2)
-
J. Bourgain and A. Gamburd, On the spectral gap for finitely-generated subgroups of SU(2), Invent. Math. 171 (2008), no. 1, 83-121.
-
(2008)
Invent. Math.
, vol.171
, Issue.1
, pp. 83-121
-
-
Bourgain, J.1
Gamburd, A.2
-
18
-
-
56649109576
-
Expansion and random walks in SLd(Z/pnZ). I
-
J. Bourgain and A. Gamburd, Expansion and random walks in SLd(Z/pnZ). I, J. Eur. Math. Soc. (JEMS) 10 (2008), no. 4, 987-1011.
-
(2008)
J. Eur. Math. Soc. (JEMS)
, vol.10
, Issue.4
, pp. 987-1011
-
-
Bourgain, J.1
Gamburd, A.2
-
19
-
-
74249116408
-
Expansion and random walks in SLd(Z/pnZ). II, with an appendix by J. Bourgain
-
J. Bourgain and A. Gamburd, Expansion and random walks in SLd(Z/pnZ). II, with an appendix by J. Bourgain, J. Eur. Math. Soc. (JEMS) 11 (2009), no. 5, 1057-1103.
-
(2009)
J. Eur. Math. Soc. (JEMS)
, vol.11
, Issue.5
, pp. 1057-1103
-
-
Bourgain, J.1
Gamburd, A.2
-
20
-
-
33746025640
-
Sieving and expanders
-
J. Bourgain, A. Gamburd and P. Sarnak, Sieving and expanders, C. R. Math. Acad. Sci. Paris 343 (2006), no. 3, 155-159.
-
(2006)
C. R. Math. Acad. Sci. Paris
, vol.343
, Issue.3
, pp. 155-159
-
-
Bourgain, J.1
Gamburd, A.2
Sarnak, P.3
-
21
-
-
76549128679
-
Affine linear sieve, expanders, and sumproduct
-
J. Bourgain, A. Gamburd and P. Sarnak, Affine linear sieve, expanders, and sumproduct, Invent. Math. 179 (2010), no. 3, 559-644.
-
(2010)
Invent. Math.
, vol.179
, Issue.3
, pp. 559-644
-
-
Bourgain, J.1
Gamburd, A.2
Sarnak, P.3
-
23
-
-
2442427378
-
A sum-product estimate in finite fields, and applications
-
J. Bourgain, N. Katz and T. Tao, A sum-product estimate in finite fields, and applications, Geom. Funct. Anal. 14 (2004), no. 1, 27-57.
-
(2004)
Geom. Funct. Anal.
, vol.14
, Issue.1
, pp. 27-57
-
-
Bourgain, J.1
Katz, N.2
Tao, T.3
-
24
-
-
78649305136
-
On representations of integers in thin subgroups of SL2Z
-
J. Bourgain and A. Kontorovich, On representations of integers in thin subgroups of SL2Z, Geom. Funct. Anal. (GAFA) 20 (2010), 1144-1174.
-
(2010)
Geom. Funct. Anal. (GAFA)
, vol.20
, pp. 1144-1174
-
-
Bourgain, J.1
Kontorovich, A.2
-
34
-
-
18444411371
-
On Fibonacci numbers with few prime divisors
-
Y. Bugeaud, F. Luca, M. Mignotte and S. Siksek, On Fibonacci numbers with few prime divisors, Proc. Japan Acad. Ser. A Math. Sci. 81 (2005), no. 2, 17-20.
-
(2005)
Proc. Japan Acad. Ser. A Math. Sci.
, vol.81
, Issue.2
, pp. 17-20
-
-
Bugeaud, Y.1
Luca, F.2
Mignotte, M.3
Siksek, S.4
-
35
-
-
0001304677
-
Ramanujan duals
-
M. Burger and P. Sarnak, Ramanujan duals. II, Invent. Math. 106 (1991), no. 1, 1-11.
-
(1991)
II, Invent. Math.
, vol.106
, Issue.1
, pp. 1-11
-
-
Burger, M.1
Sarnak, P.2
-
36
-
-
0003285996
-
Geometry and spectra of compact Riemann surfaces
-
106. Birkhäuser Boston, Inc., Boston, MA
-
Peter Buser, Geometry and spectra of compact Riemann surfaces, Progress in Mathematics, 106. Birkhäuser Boston, Inc., Boston, MA, 1992. xiv+454 pp.
-
(1992)
Progress in Mathematics
-
-
Buser, P.1
-
37
-
-
21844515117
-
Generating random elements of a finite group
-
F. Celler, C.R. Leedham-Green, S.H. Murray, A.C. Niemeyer and E.A. O'Brien, Generating random elements of a finite group, Comm. Algebra 23 (1995), no. 13, 4931- 4948.
-
(1995)
Comm. Algebra
, vol.23
, Issue.13
, pp. 4931-4948
-
-
Celler, F.1
Leedham-Green, C.R.2
Murray, S.H.3
Niemeyer, A.C.4
O'Brien, E.A.5
-
38
-
-
0000397257
-
On the representation of a larger even integer as the sum of a prime and the product of at most two primes
-
J.R. Chen, On the representation of a larger even integer as the sum of a prime and the product of at most two primes, Sci. Sinica 16 (1973), 157-176.
-
(1973)
Sci. Sinica
, vol.16
, pp. 157-176
-
-
Chen, J.R.1
-
39
-
-
0037933477
-
Démonstration de la conjecture t
-
L. Clozel, Démonstration de la conjecture t, Invent. Math. 151 (2003), no. 2, 297-328.
-
(2003)
Invent. Math.
, vol.151
, Issue.2
, pp. 297-328
-
-
Clozel, L.1
-
40
-
-
13244290415
-
Elementary number theory, group theory, and Ramanujan graphs
-
Cambridge University Press, Cambridge
-
G. Davidoff, P. Sarnak and A. Valette, Elementary number theory, group theory, and Ramanujan graphs, London Mathematical Society Student Texts, 55. Cambridge University Press, Cambridge, 2003. x+144 pp.
-
(2003)
London Mathematical Society Student Texts
, vol.55
-
-
Davidoff, G.1
Sarnak, P.2
Valette, A.3
-
41
-
-
0040676602
-
Walks on generating sets of groups
-
P. Diaconis and L. Saloff-Coste, Walks on generating sets of groups, Invent. Math. 134 (1998), no. 2, 251-299.
-
(1998)
Invent. Math.
, vol.134
, Issue.2
, pp. 251-299
-
-
Diaconis, P.1
Saloff-Coste, L.2
-
42
-
-
79953814858
-
Growth in SL2 over finite fields
-
O. Dinai, Growth in SL2 over finite fields, J. Group Theory, 14 (2011) 273-297.
-
(2011)
J. Group Theory
, vol.14
, pp. 273-297
-
-
Dinai, O.1
-
43
-
-
0000660463
-
The probability of generating the symmetric group
-
J.D. Dixon, The probability of generating the symmetric group, Math. Z. 110 (1969), 199-205.
-
(1969)
Math. Z.
, vol.110
, pp. 199-205
-
-
Dixon, J.D.1
-
44
-
-
33750510901
-
Finite covers of random 3-manifolds
-
N.M. Dunfield and W.P. Thurston, Finite covers of random 3-manifolds, Invent. Math. 166 (2006), no. 3, 457-521.
-
(2006)
Invent. Math.
, vol.166
, Issue.3
, pp. 457-521
-
-
Dunfield, N.M.1
Thurston, W.P.2
-
45
-
-
51749108893
-
Towards dimension expanders over finite fields
-
IEEE Computer Soc., Los Alamitos, CA
-
Z. Dvir and A. Shpilka, Towards dimension expanders over finite fields, Twenty-Third Annual IEEE Conference on Computational Complexity, 304-310, IEEE Computer Soc., Los Alamitos, CA, 2008.
-
(2008)
Twenty-Third Annual IEEE Conference on Computational Complexity
, pp. 304-310
-
-
Dvir, Z.1
Shpilka, A.2
-
46
-
-
0038349206
-
The amenability of affine algebras
-
G. Elek, The amenability of affine algebras, J. Algebra 264 (2003), no. 2, 469-478.
-
(2003)
J. Algebra
, vol.264
, Issue.2
, pp. 469-478
-
-
Elek, G.1
-
49
-
-
56349086442
-
Golod-Shafarevich groups with property (T) and Kac-Moody groups
-
M. Ershov, Golod-Shafarevich groups with property (T) and Kac-Moody groups, Duke Math. J. 145 (2008), no. 2, 309-339.
-
(2008)
Duke Math. J.
, vol.145
, Issue.2
, pp. 309-339
-
-
Ershov, M.1
-
50
-
-
71949092331
-
Property (T) for noncommutative universal lattices
-
M. Ershov and A. Jaikin-Zapirain, Property (T) for noncommutative universal lattices, Invent. Math. 179 (2010), no. 2, 303-347.
-
(2010)
Invent. Math.
, vol.179
, Issue.2
, pp. 303-347
-
-
Ershov, M.1
Jaikin-Zapirain, A.2
-
52
-
-
84858018676
-
Opera de cribro, American Mathematical Society Colloquium Publications
-
Providence, RI
-
J. Friedlander and H. Iwaniec, Opera de cribro, American Mathematical Society Colloquium Publications, 57. American Mathematical Society, Providence, RI, 2010. xx+527 pp.
-
(2010)
American Mathematical Society
, vol.57
-
-
Friedlander, J.1
Iwaniec, H.2
-
53
-
-
67949093089
-
A proof of Alon's second eigenvalue conjecture and related problems
-
J. Friedman, A proof of Alon's second eigenvalue conjecture and related problems, Mem. Amer. Math. Soc. 195 (2008), no. 910, viii+100 pp.
-
(2008)
Mem. Amer. Math. Soc.
, vol.195
, Issue.910
-
-
Friedman, J.1
-
54
-
-
84855766159
-
-
Ph.D. Thesis, Princeton University
-
E. Fuchs, Ph.D. Thesis, Princeton University.
-
-
-
Fuchs, E.1
-
56
-
-
0034340697
-
Côut des relations d'équivalence et des groupes
-
D. Gaboriau, Cô ut des relations d'équivalence et des groupes, Invent. Math. 139 (2000), no. 1, 41-98.
-
(2000)
Invent. Math.
, vol.139
, Issue.1
, pp. 41-98
-
-
Gaboriau, D.1
-
57
-
-
84855786638
-
What is Cost? Notices Amer
-
D. Gaboriau, What is Cost? Notices Amer. Math. Soc. 57 (2010), 1295-1296.
-
(2010)
Math. Soc.
, vol.57
, pp. 1295-1296
-
-
Gaboriau, D.1
-
58
-
-
0142168845
-
On the spectral gap for infinite index "congruence" subgroups of SL2(Z)
-
A. Gamburd, On the spectral gap for infinite index "congruence" subgroups of SL2(Z), Israel J. Math. 127 (2002), 157-200.
-
(2002)
Israel J. Math.
, vol.127
, pp. 157-200
-
-
Gamburd, A.1
-
59
-
-
13244261319
-
Expander graphs, random matrices and quantum chaos
-
109-140, Walter de Gruyter GmbH & Co. KG, Berlin
-
A. Gamburd, Expander graphs, random matrices and quantum chaos, Random walks and geometry, 109-140, Walter de Gruyter GmbH & Co. KG, Berlin, 2004.
-
(2004)
Random walks and geometry
-
-
Gamburd, A.1
-
60
-
-
67650527011
-
On the girth of random Cayley graphs
-
A. Gamburd, S. Hoory, M. Shahshahani. A. Shalev and B. Virg, On the girth of random Cayley graphs, Random Structures Algorithms 35 (2009), no. 1, 100-117.
-
(2009)
Random Structures Algorithms
, vol.35
, Issue.1
, pp. 100-117
-
-
Gamburd, A.1
Hoory, S.2
Shahshahani, M.3
Shalev, A.4
Virg, B.5
-
61
-
-
0001960706
-
Spectra of elements in the group ring of SU(2)
-
A. Gamburd, D. Jakobson and P. Sarnak, Spectra of elements in the group ring of SU(2), J. Eur. Math. Soc. (JEMS) 1 (1999), no. 1, 51-85.
-
(1999)
J. Eur. Math. Soc. (JEMS)
, vol.1
, Issue.1
, pp. 51-85
-
-
Gamburd, A.1
Jakobson, D.2
Sarnak, P.3
-
63
-
-
0009324237
-
Factorizations in local subgroups of finite groups
-
American Mathematical Society, Providence, RI
-
G. Glauberman, Factorizations in local subgroups of finite groups, Regional Conference Series in Mathematics, No. 33. American Mathematical Society, Providence, RI, 1977. ix+74 pp.
-
(1977)
Regional Conference Series in Mathematics
, Issue.33
-
-
Glauberman, G.1
-
64
-
-
42249083052
-
Quasirandom groups
-
W.T. Gowers, Quasirandom groups, Combin. Probab. Comput. 17 (2008), no. 3, 363-387.
-
(2008)
Combin. Probab. Comput.
, vol.17
, Issue.3
, pp. 363-387
-
-
Gowers, W.T.1
-
65
-
-
0037691992
-
Apollonian circle packings: number theory
-
R.L. Graham, J.C. Lagarias, C.L. Mallows, L. Colin, A.R. Wilks and C.H. Yan, Apollonian circle packings: number theory, J. Number Theory 100 (2003), no. 1, 1-45.
-
(2003)
J. Number Theory
, vol.100
, Issue.1
, pp. 1-45
-
-
Graham, R.L.1
Lagarias, J.C.2
Mallows, C.L.3
Colin, L.4
Wilks, A.R.5
Yan, C.H.6
-
67
-
-
43449086031
-
The primes contain arbitrarily long arithmetic progressions
-
B. Green and T. Tao, The primes contain arbitrarily long arithmetic progressions, Ann. of Math. (2) 167 (2008), no. 2, 481-547.
-
(2008)
Ann. of Math. (2)
, vol.167
, Issue.2
, pp. 481-547
-
-
Green, B.1
Tao, T.2
-
68
-
-
77957719058
-
Linear equations in primes
-
B. Green and T. Tao, Linear equations in primes, Ann. of Math. (2) 171 (2010), no. 3, 1753-1850.
-
(2010)
Ann. of Math. (2)
, vol.171
, Issue.3
, pp. 1753-1850
-
-
Green, B.1
Tao, T.2
-
69
-
-
84855819497
-
-
An inverse theorem for the Gowers Us+1[N]-norm
-
B. Green, T. Tao and T. Ziegler, An inverse theorem for the Gowers Us+1[N]-norm.
-
-
-
Green, B.1
Tao, T.2
Ziegler, T.3
-
70
-
-
0038237671
-
Random walk in random groups
-
M. Gromov, Random walk in random groups, Geom. Funct. Anal. 13 (2003), no. 1, 73-146.
-
(2003)
Geom. Funct. Anal.
, vol.13
, Issue.1
, pp. 73-146
-
-
Gromov, M.1
-
71
-
-
78649402676
-
Singularities, expanders and topology of maps. I. Homology versus volume in the spaces of cycles
-
M. Gromov, Singularities, expanders and topology of maps. I. Homology versus volume in the spaces of cycles, Geom. Funct. Anal. 19 (2009), no. 3, 743-841.
-
(2009)
Geom. Funct. Anal.
, vol.19
, Issue.3
, pp. 743-841
-
-
Gromov, M.1
-
72
-
-
77955278240
-
Singularities, expanders and topology of maps. II. From combinatorics to topology via algebraic isoperimetry
-
M. Gromov, Singularities, expanders and topology of maps. II. From combinatorics to topology via algebraic isoperimetry, Geom. Funct. Anal. 20 (2010), 416-526.
-
(2010)
Geom. Funct. Anal.
, vol.20
, pp. 416-526
-
-
Gromov, M.1
-
74
-
-
84855790580
-
Linear representations of the automorphism group of a free group
-
F. Grunewald and A. Lubotzky, Linear representations of the automorphism group of a free group, Geom. Funct. Anal. 18 (2009), no. 5, 1564-1608.
-
(2009)
Geom. Funct. Anal.
, vol.18
, Issue.5
, pp. 1564-1608
-
-
Grunewald, F.1
Lubotzky, A.2
-
75
-
-
33646862107
-
Some problems of 'Partitio numerorum'; III: On the expression of a number as a sum of primes
-
G.H. Hardy and J.E. Littlewood, Some problems of 'Partitio numerorum'; III: On the expression of a number as a sum of primes, Acta Math. 44 (1923), no. 1, 1-70.
-
(1923)
Acta Math
, vol.44
, Issue.1
, pp. 1-70
-
-
Hardy, G.H.1
Littlewood, J.E.2
-
76
-
-
44449169647
-
Growth and generation in SL2(Z/pZ)
-
H.A. Helfgott, Growth and generation in SL2(Z/pZ), Ann. of Math. (2) 167 (2008), no. 2, 601-623.
-
(2008)
Ann. of Math. (2)
, vol.167
, Issue.2
, pp. 601-623
-
-
Helfgott, H.A.1
-
77
-
-
79952123630
-
Growth in SL3(Z/pZ)
-
H.A. Helfgott, Growth in SL3(Z/pZ), J. Eur. Math. Soc. 13 (2011), 761-851.
-
(2011)
J. Eur. Math. Soc.
, vol.13
, pp. 761-851
-
-
Helfgott, H.A.1
-
78
-
-
0036435284
-
Counterexamples to the Baum-Connes conjecture
-
N. Higson, V. Lafforgue and G. Skandalis, Counterexamples to the Baum-Connes conjecture, Geom. Funct. Anal. 12 (2002), no. 2, 330-354.
-
(2002)
Geom. Funct. Anal.
, vol.12
, Issue.2
, pp. 330-354
-
-
Higson, N.1
Lafforgue, V.2
Skandalis, G.3
-
79
-
-
33749002225
-
Expander graphs and their applications
-
S. Hoory, N. Linial and A.Wigderson, Expander graphs and their applications, Bull. Amer. Math. Soc. (N.S.) 43 (2006), no. 4, 439-561.
-
(2006)
Bull. Amer. Math. Soc. (N. S. )
, vol.43
, Issue.4
, pp. 439-561
-
-
Hoory, S.1
Linial, N.2
Wigderson, A.3
-
80
-
-
23744503656
-
Powers in finitely generated groups
-
E. Hrushovski, P.H. Kropholler, A. Lubotzky and A. Shalev, Powers in finitely generated groups, Trans. Amer. Math. Soc. 348 (1996), no. 1, 291-304.
-
(1996)
Trans. Amer. Math. Soc.
, vol.348
, Issue.1
, pp. 291-304
-
-
Hrushovski, E.1
Kropholler, P.H.2
Lubotzky, A.3
Shalev, A.4
-
81
-
-
12444323815
-
Analytic Number Theory, American Mathematical Society Colloquium Publications, 53. American Mathematical Society, Providence
-
H. Iwaniec and E. Kowalski, Analytic Number Theory, American Mathematical Society Colloquium Publications, 53. American Mathematical Society, Providence, RI, 2004. xii+615 pp.
-
(2004)
RI
-
-
Iwaniec, H.1
Kowalski, E.2
-
82
-
-
84855815414
-
Splitting fields of characteristic polynomials of random elements in arithmetic groups
-
to appear
-
F. Jouve, E. Kowalski and D. Zywina, Splitting fields of characteristic polynomials of random elements in arithmetic groups, Israel J. of Math., to appear.
-
Israel J. of Math.
-
-
Jouve, F.1
Kowalski, E.2
Zywina, D.3
-
83
-
-
0001941330
-
The probability of generating a finite classical group
-
W.M. Kantor and A. Lubotzky, The probability of generating a finite classical group, Geom. Dedicata 36 (1990), no. 1, 67-87.
-
(1990)
Geom. Dedicata
, vol.36
, Issue.1
, pp. 67-87
-
-
Kantor, W.M.1
Lubotzky, A.2
-
84
-
-
80755140651
-
Invariable generation and the Chebotarev invariant of a finite group
-
W. M. Kantor, A. Lubotzky and A. Shalev, Invariable generation and the Chebotarev invariant of a finite group, J. of Algebra, 348 (2011) 302-314.
-
(2011)
J. of Algebra
, vol.348
, pp. 302-314
-
-
Kantor, W.M.1
Lubotzky, A.2
Shalev, A.3
-
85
-
-
0037673298
-
Generic-case complexity, decision problems in group theory, and random walks
-
I. Kapovich, A. Miasnikov, P. Schupp and V. Shpilrain, Generic-case complexity, decision problems in group theory, and random walks, J. Algebra 264 (2003), no. 2, 665-694.
-
(2003)
J. Algebra
, vol.264
, Issue.2
, pp. 665-694
-
-
Kapovich, I.1
Miasnikov, A.2
Schupp, P.3
Shpilrain, V.4
-
86
-
-
6944252026
-
Average-case complexity and decision problems in group theory
-
I. Kapovich, A. Miasnikov, P. Schupp and V. Shpilrain, Average-case complexity and decision problems in group theory, Adv. Math. 190 (2005), no. 2, 343-359.
-
(2005)
Adv. Math.
, vol.190
, Issue.2
, pp. 343-359
-
-
Kapovich, I.1
Miasnikov, A.2
Schupp, P.3
Shpilrain, V.4
-
87
-
-
80052746851
-
On group-theoretic models of randomness and genericity
-
I. Kapovich and P. Schupp, On group-theoretic models of randomness and genericity, Groups Geom. Dyn. 2 (2008), no. 3, 383-404.
-
(2008)
Groups Geom. Dyn.
, vol.2
, Issue.3
, pp. 383-404
-
-
Kapovich, I.1
Schupp, P.2
-
88
-
-
34848914478
-
Universal lattices and unbounded rank expanders
-
M. Kassabov, Universal lattices and unbounded rank expanders, Invent. Math. 170 (2007), no. 2, 297-326.
-
(2007)
Invent. Math.
, vol.170
, Issue.2
, pp. 297-326
-
-
Kassabov, M.1
-
89
-
-
34848824034
-
Symmetric groups and expander graphs
-
M. Kassabov, Symmetric groups and expander graphs, Invent. Math. 170 (2007), no. 2, 327-354.
-
(2007)
Invent. Math.
, vol.170
, Issue.2
, pp. 327-354
-
-
Kassabov, M.1
-
90
-
-
33646560033
-
Finite simple groups as expanders
-
M. Kassabov, A. Lubotzky and N. Nikolov, Finite simple groups as expanders, Proc. Natl. Acad. Sci. USA 103 (2006), no. 16, 6116-6119.
-
(2006)
Proc. Natl. Acad. Sci. USA
, vol.103
, Issue.16
, pp. 6116-6119
-
-
Kassabov, M.1
Lubotzky, A.2
Nikolov, N.3
-
91
-
-
33744540790
-
Universal lattices and property tau
-
M. Kassabov and N. Nikolov, Universal lattices and property tau, Invent. Math. 165 (2006), no. 1, 209-224.
-
(2006)
Invent. Math.
, vol.165
, Issue.1
, pp. 209-224
-
-
Kassabov, M.1
Nikolov, N.2
-
94
-
-
34250526463
-
On the connection of the dual space of a group with the structure of its closed subgroups, (Russian) Funkcional
-
D.A. Kazhdan, On the connection of the dual space of a group with the structure of its closed subgroups, (Russian) Funkcional. Anal. i Priložen. 1 (1967), 71-74.
-
(1967)
Anal. i Priložen.
, vol.1
, pp. 71-74
-
-
Kazhdan, D.A.1
-
95
-
-
0037248070
-
Functoriality for the exterior square of GL4 and the symmetric fourth of GL2, with appendix 1 by Dinakar Ramakrishnan and appendix 2 by Kim and Peter Sarnak
-
H.H. Kim, Functoriality for the exterior square of GL4 and the symmetric fourth of GL2, with appendix 1 by Dinakar Ramakrishnan and appendix 2 by Kim and Peter Sarnak. J. Amer. Math. Soc. 16 (2003), no. 1, 139-183.
-
(2003)
J. Amer. Math. Soc.
, vol.16
, Issue.1
, pp. 139-183
-
-
Kim, H.H.1
-
96
-
-
0012782376
-
On the realization of nets in 3-dimensional space
-
See also SelectedWorks of A.N. Kolmogorov, Vol. 3, pp. 194-202 (and a remark on page 245), Kluwer Academic Publishers, 1993
-
A. N. Kolmogorov and Y.M. Barzdin, On the realization of nets in 3-dimensional space, Probl. Cybernet, 8, 261-268, 1967. See also SelectedWorks of A.N. Kolmogorov, Vol. 3, pp. 194-202 (and a remark on page 245), Kluwer Academic Publishers, 1993.
-
(1967)
Probl. Cybernet
, vol.8
, pp. 261-268
-
-
Kolmogorov, A.N.1
Barzdin, Y.M.2
-
97
-
-
79953735111
-
Apollonian circle packings and closed horospheres on hyperbolic 3-manifolds
-
A. Kontorovich and H. Oh, Apollonian circle packings and closed horospheres on hyperbolic 3-manifolds, J. Amer. Math. Soc. 24 (2011), 603-648.
-
(2011)
J. Amer. Math. Soc.
, vol.24
, pp. 603-648
-
-
Kontorovich, A.1
Oh, H.2
-
99
-
-
76549100863
-
-
Cambridge Tracts in Mathematics, 175. Cambridge University Press, Cambridge
-
E. Kowalski, The large sieve and its applications, Arithmetic geometry, random walks and discrete groups. Cambridge Tracts in Mathematics, 175. Cambridge University Press, Cambridge, 2008. xxii+293 pp.
-
(2008)
The large sieve and its applications, Arithmetic geometry, random walks and discrete groups
-
-
Kowalski, E.1
-
100
-
-
84855799632
-
-
Seminar Bourbaki Exp. no. November
-
E. Kowalski, Sieve in expansion, Seminar Bourbaki Exp. no. 1028, November 2010.
-
(1028)
Sieve in expansion
, pp. 2010
-
-
Kowalski, E.1
-
101
-
-
18444401389
-
Expanders, rank and graphs of groups
-
M. Lackenby, Expanders, rank and graphs of groups, Israel J. Math. 146 (2005), 357- 370.
-
(2005)
Israel J. Math.
, vol.146
, pp. 357-370
-
-
Lackenby, M.1
-
102
-
-
17444379306
-
A characterisation of large finitely presented groups
-
M. Lackenby, A characterisation of large finitely presented groups, J. Algebra 287 (2005), no. 2, 458-473.
-
(2005)
J. Algebra
, vol.287
, Issue.2
, pp. 458-473
-
-
Lackenby, M.1
-
103
-
-
33645508714
-
Heegaard splittings, the virtually Haken conjecture and property (t)
-
M. Lackenby, Heegaard splittings, the virtually Haken conjecture and property (t), Invent. Math. 164 (2006), no. 2, 317-359.
-
(2006)
Invent. Math.
, vol.164
, Issue.2
, pp. 317-359
-
-
Lackenby, M.1
-
104
-
-
68349133559
-
Large groups, property (t) and the homology growth of subgroups
-
M. Lackenby, Large groups, property (t) and the homology growth of subgroups, Math. Proc. Cambridge Philos. Soc. 146 (2009), no. 3, 625-648.
-
(2009)
Math. Proc. Cambridge Philos. Soc.
, vol.146
, Issue.3
, pp. 625-648
-
-
Lackenby, M.1
-
105
-
-
74249100149
-
LERF and the Lubotzky-Sarnak conjecture
-
M. Lackenby, D.D. Long and A.W. Reid, LERF and the Lubotzky-Sarnak conjecture, Geom. Topol. 12 (2008), no. 4, 2047-2056.
-
(2008)
Geom. Topol.
, vol.12
, Issue.4
, pp. 2047-2056
-
-
Lackenby, M.1
Long, D.D.2
Reid, A.W.3
-
106
-
-
77951205456
-
Covering spaces of arithmetic 3-orbifolds
-
IMRN 2008, no. 12, Art. ID rnn036
-
M. Lackenby, D.D. Long and A.W. Reid, Covering spaces of arithmetic 3-orbifolds, Int. Math. Res. Not. IMRN 2008, no. 12, Art. ID rnn036, 38 pp.
-
(2008)
Int. Math. Res.
, pp. 38
-
-
Lackenby, M.1
Long, D.D.2
Reid, A.W.3
-
107
-
-
84976040778
-
On the cost of generating an equivalence relation
-
G. Levitt, On the cost of generating an equivalence relation, Ergodic Theory Dynam. Systems, 15(6) (1995), 1173-1181.
-
(1995)
Ergodic Theory Dynam. Systems
, vol.15
, Issue.6
, pp. 1173-1181
-
-
Levitt, G.1
-
108
-
-
0001056702
-
The probability of generating a finite simple group
-
M.W. Liebeck and A. Shalev, The probability of generating a finite simple group, Geom. Dedicata 56 (1995), no. 1, 103-113.
-
(1995)
Geom. Dedicata
, vol.56
, Issue.1
, pp. 103-113
-
-
Liebeck, M.W.1
Shalev, A.2
-
110
-
-
0344077919
-
Finite metric-spaces: combinatorics, geometry and algorithms
-
(Beijing, 2002), 573-586, Higher Ed. Press, Beijing
-
N. Linial, Finite metric-spaces: combinatorics, geometry and algorithms, Proceedings of the International Congress of Mathematicians, Vol. III (Beijing, 2002), 573-586, Higher Ed. Press, Beijing, 2002.
-
(2002)
Proceedings of the International Congress of Mathematicians
, vol.3
-
-
Linial, N.1
-
111
-
-
44449147282
-
Heegaard genus and property t for hyperbolic 3-manifolds
-
D.D. Long, A. Lubotzky and A.W. Reid, Heegaard genus and property t for hyperbolic 3-manifolds, J. Topol. 1 (2008), no. 1, 152-158.
-
(2008)
J. Topol.
, vol.1
, Issue.1
, pp. 152-158
-
-
Long, D.D.1
Lubotzky, A.2
Reid, A.W.3
-
112
-
-
0042734182
-
Prym representations of mapping class groups
-
E. Looijenga, Prym representations of mapping class groups, Geom. Dedicata 64 (1997), no. 1, 69-83.
-
(1997)
Geom. Dedicata
, vol.64
, Issue.1
, pp. 69-83
-
-
Looijenga, E.1
-
113
-
-
0003421887
-
-
with an appendix by Jonathan D. Rogawski. Reprint of the 1994 edition. Modern Birkhäuser Classics. Birkhäuser Verlag, Basel
-
A. Lubotzky, Discrete groups, expanding graphs and invariant measures, with an appendix by Jonathan D. Rogawski. Reprint of the 1994 edition. Modern Birkhäuser Classics. Birkhäuser Verlag, Basel, 2010. iii+192 pp.
-
(2010)
Discrete groups, expanding graphs and invariant measures
-
-
Lubotzky, A.1
-
114
-
-
0002093056
-
-
Surveys in Combinatorics, 1995 (Stirling), 155-189, London Math. Soc. Lecture Note Ser. 218. Cambridge Univ. Press, Cambridge
-
A. Lubotzky, Cayley graphs: eigenvalues, expanders and random walks, Surveys in Combinatorics, 1995 (Stirling), 155-189, London Math. Soc. Lecture Note Ser., 218, Cambridge Univ. Press, Cambridge, 1995.
-
(1995)
Cayley graphs: eigenvalues, expanders and random walks
-
-
Lubotzky, A.1
-
115
-
-
0030496386
-
Eigenvalues of the Laplacian, the first Betti number and the congruence subgroup problem
-
A. Lubotzky, Eigenvalues of the Laplacian, the first Betti number and the congruence subgroup problem, Ann. of Math. (2) 144 (1996), no. 2, 441-452.
-
(1996)
Ann. of Math. (2)
, vol.144
, Issue.2
, pp. 441-452
-
-
Lubotzky, A.1
-
116
-
-
0002892831
-
Free quotients and the first Betti number of some hyperbolic manifolds
-
A. Lubotzky, Free quotients and the first Betti number of some hyperbolic manifolds, Transform. Groups 1 (1996), no. 1-2, 71-82.
-
(1996)
Transform. Groups
, vol.1
, Issue.1-2
, pp. 71-82
-
-
Lubotzky, A.1
-
117
-
-
23444439212
-
What is... property (τ)
-
A. Lubotzky, What is... property (τ), Notices Amer. Math. Soc. 52 (2005), no. 6, 626-627.
-
(2005)
Notices Amer. Math. Soc.
, vol.52
, Issue.6
, pp. 626-627
-
-
Lubotzky, A.1
-
118
-
-
79960499659
-
Finite simple groups of Lie type as expanders
-
A. Lubotzky, Finite simple groups of Lie type as expanders, J. Eur. Math. Soc. 13 (2011), 1331-1341.
-
(2011)
J. Eur. Math. Soc.
, vol.13
, pp. 1331-1341
-
-
Lubotzky, A.1
-
119
-
-
84855799634
-
Sieve methods in group theory: I. powers in linear groups
-
to appear
-
A. Lubotzky and C. Meiri, Sieve methods in group theory: I. powers in linear groups. Geom. Dedicata, to appear.
-
Geom. Dedicata
-
-
Lubotzky, A.1
Meiri, C.2
-
122
-
-
0035581584
-
The product replacement algorithm and Kazhdan's property (T)
-
A. Lubotzky and I. Pak, The product replacement algorithm and Kazhdan's property (T), J. Amer. Math. Soc. 14 (2001), no. 2, 347-363.
-
(2001)
J. Amer. Math. Soc.
, vol.14
, Issue.2
, pp. 347-363
-
-
Lubotzky, A.1
Pak, I.2
-
123
-
-
0002284975
-
Ramanujan conjecture and explicit construction of expanders
-
A. Lubotzky, R. Phillips and P. Sarnak, Ramanujan conjecture and explicit construction of expanders, Proc. STOC. 86 (1986), 240-246.
-
(1986)
Proc. STOC.
, vol.86
, pp. 240-246
-
-
Lubotzky, A.1
Phillips, R.2
Sarnak, P.3
-
124
-
-
0000848816
-
Ramanujan graphs
-
A. Lubotzky, R. Phillips and P. Sarnak, Ramanujan graphs, Combinatorica 8 (1988), no. 3, 261-277.
-
(1988)
Combinatorica
, vol.8
, Issue.3
, pp. 261-277
-
-
Lubotzky, A.1
Phillips, R.2
Sarnak, P.3
-
125
-
-
84990604340
-
Hecke operators and distributing points on the sphere. I, Frontiers of the mathematical sciences: 1985 (New York, 1985)
-
A. Lubotzky, R. Phillips and P. Sarnak, Hecke operators and distributing points on the sphere. I, Frontiers of the mathematical sciences: 1985 (New York, 1985). Comm. Pure Appl. Math. 39 (1986), no. S, suppl., 149-186.
-
(1986)
Comm. Pure Appl. Math.
, vol.39
, Issue.SUPPL.
, pp. 149-186
-
-
Lubotzky, A.1
Phillips, R.2
Sarnak, P.3
-
128
-
-
32544454962
-
Ramanujan complexes of type A{ogonek}d, Probability in Mathematics
-
A. Lubotzky, B. Samuels and U. Vishne, Ramanujan complexes of type A{ogonek}d, Probability in Mathematics. Israel J. Math. 149 (2005), 267-299.
-
(2005)
Israel J. Math.
, vol.149
, pp. 267-299
-
-
Lubotzky, A.1
Samuels, B.2
Vishne, U.3
-
129
-
-
14644412918
-
Explicit constructions of Ramanujan complexes of type A{ogonek}d
-
A. Lubotzky, B. Samuels and U. Vishne, Explicit constructions of Ramanujan complexes of type A{ogonek}d, European J. Combin. 26 (2005), no. 6, 965-993.
-
(2005)
European J. Combin.
, vol.26
, Issue.6
, pp. 965-993
-
-
Lubotzky, A.1
Samuels, B.2
Vishne, U.3
-
130
-
-
0037842329
-
Subgroup growth
-
Birkhäuser Verlag, Basel
-
A. Lubotzky and D. Segal, Subgroup growth, Progress in Mathematics, 212. Birkhäuser Verlag, Basel, 2003. xxii+453 pp.
-
(2003)
Progress in Mathematics
, vol.212
-
-
Lubotzky, A.1
Segal, D.2
-
131
-
-
84855787720
-
Finite representations in the unitary dual and Ramanujan groups, Discrete geometric analysis
-
Amer. Math. Soc. Providence, RI
-
A. Lubotzky and Y. Shalom, Finite representations in the unitary dual and Ramanujan groups, Discrete geometric analysis, 173-189, Contemp. Math., 347, Amer. Math. Soc., Providence, RI, 2004.
-
(2004)
Contemp. Math.
, vol.347
, pp. 173-189
-
-
Lubotzky, A.1
Shalom, Y.2
-
132
-
-
0037906726
-
Groups and expanders, Expanding graphs (Princeton, NJ, 1992), DIMACS Ser
-
A. Lubotzky and B. Weiss, Groups and expanders, Expanding graphs (Princeton, NJ, 1992), 95-109, DIMACS Ser. Discrete Math. Theoret. Comput. Sci., 10, Amer. Math. Soc., Providence, RI, 1993.
-
(1993)
Discrete Math. Theoret. Comput. Sci., Amer. Math. Soc., Providence, RI
, vol.10
, pp. 95-109
-
-
Lubotzky, A.1
Weiss, B.2
-
133
-
-
37149027788
-
Dimension expanders
-
A. Lubotzky and E. Zelmanov, Dimension expanders, J. Algebra 319 (2008), no. 2, 730-738.
-
(2008)
J. Algebra
, vol.319
, Issue.2
, pp. 730-738
-
-
Lubotzky, A.1
Zelmanov, E.2
-
134
-
-
51249171329
-
Variants of Kazhdan's property for subgroups of semisimple groups
-
A. Lubotzky and R.J. Zimmer, Variants of Kazhdan's property for subgroups of semisimple groups, Israel J. Math. 66 (1989), no. 1-3, 289-299.
-
(1989)
Israel J. Math.
, vol.66
, Issue.1-3
, pp. 289-299
-
-
Lubotzky, A.1
Zimmer, R.J.2
-
136
-
-
79951561483
-
Random walks on the mapping class group
-
J. Maher, Random walks on the mapping class group, Duke Math. J. 156 (2011), 429-468.
-
(2011)
Duke Math. J.
, vol.156
, pp. 429-468
-
-
Maher, J.1
-
137
-
-
84055192621
-
Random Heegaard splittings
-
J. Maher, Random Heegaard splittings, J. Topology 3 (2010), 997-1025.
-
(2010)
J. Topology
, vol.3
, pp. 997-1025
-
-
Maher, J.1
-
140
-
-
51249182252
-
Explicit constructions of graphs without short cycles and low density codes
-
G.A. Margulis, Explicit constructions of graphs without short cycles and low density codes, Combinatorica 2 (1982), no. 1, 71-78.
-
(1982)
Combinatorica
, vol.2
, Issue.1
, pp. 71-78
-
-
Margulis, G.A.1
-
141
-
-
0024045909
-
Explicit group-theoretic constructions of combinatorial schemes and their applications in the construction of expanders and concentrators
-
G.A. Margulis, Explicit group-theoretic constructions of combinatorial schemes and their applications in the construction of expanders and concentrators, Problems of Information Transmission, 24(1):39-46, 1988.
-
(1988)
Problems of Information Transmission
, vol.24
, Issue.1
, pp. 39-46
-
-
Margulis, G.A.1
-
142
-
-
84960562360
-
Congruence properties of Zariskidense subgroups
-
C.R. Matthews, L.N. Vaserstein and B. Weisfeiler, Congruence properties of Zariskidense subgroups. I, Proc. London Math. Soc. (3) 48 (1984), no. 3, 514-532.
-
(1984)
I, Proc. London Math. Soc. (3)
, vol.48
, Issue.3
, pp. 514-532
-
-
Matthews, C.R.1
Vaserstein, L.N.2
Weisfeiler, B.3
-
143
-
-
84855766160
-
-
A lecture given at Diaconis' 60th birthday. Available at
-
B. Mazur, It is a story, A lecture given at Diaconis' 60th birthday. Available at http://www.math.ucsd.edu/williams/diaconis/It.is.a.story.3.pdf
-
It is a story
-
-
Mazur, B.1
-
144
-
-
16244423667
-
Expanders in group algebras
-
R. Meshulam and A. Wigderson, Expanders in group algebras, Combinatorica 24 (2004), no. 4, 659-680.
-
(2004)
Combinatorica
, vol.24
, Issue.4
, pp. 659-680
-
-
Meshulam, R.1
Wigderson, A.2
-
145
-
-
0002622843
-
Existence and explicit constructions of q + 1 regular Ramanujan graphs for every prime power q
-
M. Morgenstern, Existence and explicit constructions of q + 1 regular Ramanujan graphs for every prime power q, J. Combin. Theory Ser. B 62 (1994), 44-62.
-
(1994)
J. Combin. Theory Ser. B
, vol.62
, pp. 44-62
-
-
Morgenstern, M.1
-
146
-
-
84984549325
-
Generic complexity of undecidable problems
-
A.G. Myasnikov and A.N. Rybalov, Generic complexity of undecidable problems, J. Symbolic Logic 73 (2008), no. 2, 656-673.
-
(2008)
J. Symbolic Logic
, vol.73
, Issue.2
, pp. 656-673
-
-
Myasnikov, A.G.1
Rybalov, A.N.2
-
147
-
-
78650234932
-
Prime and almost prime integral points on principal homogeneous spaces
-
A. Nevo and P. Sarnak, Prime and almost prime integral points on principal homogeneous spaces, Acta Math. 205 (2010), 361-402.
-
(2010)
Acta Math
, vol.205
, pp. 361-402
-
-
Nevo, A.1
Sarnak, P.2
-
148
-
-
33846960778
-
A product of decomposition for the classical quasisimple groups
-
N. Nikolov, A product of decomposition for the classical quasisimple groups, J. Group Theory 10 (2007), no. 1, 43-53.
-
(2007)
J. Group Theory
, vol.10
, Issue.1
, pp. 43-53
-
-
Nikolov, N.1
-
150
-
-
0000100717
-
On subgroups of GLn(Fp)
-
M.V. Nori, On subgroups of GLn(Fp), Invent. Math. 88 (1987), no. 2, 257-275.
-
(1987)
Invent. Math.
, vol.88
, Issue.2
, pp. 257-275
-
-
Nori, M.V.1
-
151
-
-
0012956253
-
Strong approximation for Zariski dense subgroups over arbitrary global fields
-
R. Pink, Strong approximation for Zariski dense subgroups over arbitrary global fields, Comment. Math. Helv. 75 (2000), no. 4, 608-643.
-
(2000)
Comment. Math. Helv.
, vol.75
, Issue.4
, pp. 608-643
-
-
Pink, R.1
-
152
-
-
0002550078
-
On the complexity of a concentrator
-
Stockholm, pages 318/1-318/4, June
-
M.S. Pinsker, On the complexity of a concentrator, 7th International Teletraffic Conference, Stockholm, pages 318/1-318/4, June 1973.
-
7th International Teletraffic Conference
-
-
Pinsker, M.S.1
-
155
-
-
0036000527
-
Entropy waves, the zig-zag graph product, and new constant-degree expanders
-
O. Reingold, S. Vadhan and A. Wigderson, Entropy waves, the zig-zag graph product, and new constant-degree expanders, Ann. of Math. (2) 155 (2002), no. 1, 157-187.
-
(2002)
Ann. of Math. (2)
, vol.155
, Issue.1
, pp. 157-187
-
-
Reingold, O.1
Vadhan, S.2
Wigderson, A.3
-
156
-
-
42549120299
-
Walks on groups, counting reducible matrices, polynomials, and surface and free group automorphisms
-
I. Rivin, Walks on groups, counting reducible matrices, polynomials, and surface and free group automorphisms, Duke Math. J. 142 (2008), no. 2, 353-379.
-
(2008)
Duke Math. J.
, vol.142
, Issue.2
, pp. 353-379
-
-
Rivin, I.1
-
157
-
-
77957977860
-
Zarisky density and genericity
-
I. Rivin, Zarisky density and genericity, Int. Math. Res. Not. IMRN 19 (2010), 3649- 3657.
-
(2010)
Int. Math. Res. Not. IMRN
, vol.19
, pp. 3649-3657
-
-
Rivin, I.1
-
158
-
-
34848918176
-
Iterative construction of Cayley expander graphs
-
E. Rozenman, A. Shalev and A. Wigderson, Iterative construction of Cayley expander graphs, Theory Comput. 2 (2006), 91-120.
-
(2006)
Theory Comput
, vol.2
, pp. 91-120
-
-
Rozenman, E.1
Shalev, A.2
Wigderson, A.3
-
161
-
-
0003288907
-
Some applications of modular forms
-
Cambridge University Press, Cambridge
-
P. Sarnak, Some applications of modular forms, Cambridge Tracts in Mathematics, 99. Cambridge University Press, Cambridge, 1990. x+111 pp.
-
(1990)
Cambridge Tracts in Mathematics
, vol.99
-
-
Sarnak, P.1
-
162
-
-
84967734554
-
Selberg's eigenvalue conjecture
-
P. Sarnak, Selberg's eigenvalue conjecture, Notices Amer. Math. Soc. 42 (1995), no. 11, 1272-1277.
-
(1995)
Notices Amer. Math. Soc.
, vol.42
, Issue.11
, pp. 1272-1277
-
-
Sarnak, P.1
-
163
-
-
23444458006
-
What is. . . an expander?
-
P. Sarnak, What is. .. an expander? Notices Amer. Math. Soc. 51 (2004), no. 7, 762-763.
-
(2004)
Notices Amer. Math. Soc.
, vol.51
, Issue.7
, pp. 762-763
-
-
Sarnak, P.1
-
164
-
-
66249115310
-
Equidistribution and primes
-
physique mathématiques, mathématiques et société. II. Astérisque No. 322
-
P. Sarnak, Equidistribution and primes, Géométrie differentielle, physique mathématiques, mathématiques et société. II. Astérisque No. 322 (2008), 225-240.
-
(2008)
Géométrie differentielle
, pp. 225-240
-
-
Sarnak, P.1
-
166
-
-
84855815417
-
-
Equidistribution Primes. Available at
-
P. Sarnak, Equidistribution and Primes, (2007) PIMS Lecture. Available at http://www.math.princeton.edu/sarnak/
-
(2007)
PIMS Lecture
-
-
Sarnak, P.1
-
167
-
-
84855766163
-
-
Primes and orbits. Available at
-
P. Sarnak, Primes and orbits, MAA Garden State lecture. Available at http://www.math.princeton.edu/sarnak/
-
MAA Garden State lecture
-
-
Sarnak, P.1
-
168
-
-
84855766165
-
-
Integral Apollonian Packings - MAA Lecture January. Available at
-
P. Sarnak, Integral Apollonian Packings - MAA Lecture January 2009. Available at http://www.math.princeton
-
(2009)
-
-
Sarnak, P.1
-
169
-
-
0000579840
-
Sur certaines hypoth'eses concernant les nombres premiers
-
erratum 5 (1958) 259
-
A. Schinzel and W. Sierpiński, Sur certaines hypoth'eses concernant les nombres premiers, (French) Acta Arith. 4 (1958), 185-208; erratum 5 (1958) 259.
-
(1958)
(French) Acta Arith
, vol.4
, pp. 185-208
-
-
Schinzel, A.1
Sierpiński, W.2
-
171
-
-
0002739011
-
On the estimation of Fourier coefficients of modular forms
-
Amer. Math. Soc., Providence, RI
-
A. Selberg, On the estimation of Fourier coefficients of modular forms, 1965 Proc. Sympos. Pure Math., Vol. VIII, pp. 1-15, Amer. Math. Soc., Providence, RI
-
(1965)
Proc. Sympos. Pure Math.
, vol.8
, pp. 1-15
-
-
Selberg, A.1
-
173
-
-
0040056171
-
Expanding graphs and invariant means
-
Y. Shalom, Expanding graphs and invariant means, Combinatorica 17 (1997), no. 4, 555-575.
-
(1997)
Combinatorica
, vol.17
, Issue.4
, pp. 555-575
-
-
Shalom, Y.1
-
174
-
-
0142214312
-
Expander graphs and amenable quotients
-
(Minneapolis, MN, 1996) IMA Vol. Math. Appl., Springer, New York
-
Y. Shalom, Expander graphs and amenable quotients, Emerging applications of number theory (Minneapolis, MN, 1996), 571-581, IMA Vol. Math. Appl., 109, Springer, New York, 1999.
-
(1999)
Emerging applications of number theory
, vol.109
, pp. 571-581
-
-
Shalom, Y.1
-
176
-
-
34848878618
-
The algebraization of Kazhdan's property (T)
-
Eur. Math. Soc., Zurich
-
Y. Shalom, The algebraization of Kazhdan's property (T), International Congress of Mathematicians. Vol. II, 1283-1310, Eur. Math. Soc., Zurich, 2006.
-
(2006)
International Congress of Mathematicians
, vol.2
, pp. 1283-1310
-
-
Shalom, Y.1
-
178
-
-
33947248273
-
Additive combinatorics
-
Cambridge University Press, Cambridge
-
T. Tao and V. Vu, Additive combinatorics, Cambridge Studies in Advanced Mathematics, 105. Cambridge University Press, Cambridge, 2006. xviii+512 pp.
-
Cambridge Studies in Advanced Mathematics
, vol.105
, Issue.2006
-
-
Tao, T.1
Vu, V.2
-
179
-
-
0000644892
-
Free subgroups in linear groups
-
J. Tits, Free subgroups in linear groups, J. Algebra 20 (1972) 250-270.
-
(1972)
J. Algebra
, vol.20
, pp. 250-270
-
-
Tits, J.1
-
181
-
-
33748528695
-
Graphes de Ramanujan et applications, (French) Ramanujan graphs and applications
-
Astérisque No. Exp. No. 829, 4, 247-27
-
A. Valette, Graphes de Ramanujan et applications, (French) Ramanujan graphs and applications, Séminaire Bourbaki, Vol. 1996/97. Astérisque No. 245 (1997), Exp. No. 829, 4, 247-276.
-
(1997)
Séminaire Bourbaki
, vol.1996-1997
, Issue.245
-
-
Valette, A.1
-
183
-
-
84855819502
-
-
Expansion in SLd(OK/I), I square-free
-
P.O. Varju, Expansion in SLd(OK/I), I square-free
-
-
-
Varju, P.O.1
-
184
-
-
0000447570
-
Strong approximation for Zariski-dense subgroups of semisimple algebraic groups
-
B. Weisfeiler, Strong approximation for Zariski-dense subgroups of semisimple algebraic groups, Ann. of Math. (2) 120 (1984), no. 2, 271-315.
-
(1984)
Ann. of Math. (2)
, vol.120
, Issue.2
, pp. 271-315
-
-
Weisfeiler, B.1
-
185
-
-
0040406571
-
Small eigenvalues of automorphic Laplacians in spaces of cusp forms
-
translation in J. Math. Sciences 36, No. 1, 106-114
-
P. Zograf, Small eigenvalues of automorphic Laplacians in spaces of cusp forms, Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. Steklov (LOMI) 134 (1994), 157-168; translation in J. Math. Sciences 36, No. 1, 106-114.
-
(1994)
Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. Steklov (LOMI)
, vol.134
, pp. 157-168
-
-
Zograf, P.1
-
186
-
-
0345618613
-
A spectral proof of Rademacher's conjecture for congruence subgroups of the modular group
-
P. Zograf, A spectral proof of Rademacher's conjecture for congruence subgroups of the modular group, J. Reine Angew. Math. 414 (1991), 113-116.
-
(1991)
J. Reine Angew. Math.
, vol.414
, pp. 113-116
-
-
Zograf, P.1
-
187
-
-
0042853323
-
Property (T) and Kazhdan constants for discrete groups
-
A. Zuk, Property (T) and Kazhdan constants for discrete groups, Geom. Funct. Anal. 13 (2003), no. 3, 643-670.
-
(2003)
Geom. Funct. Anal.
, vol.13
, Issue.3
, pp. 643-670
-
-
Zuk, A.1
|