-
1
-
-
70349372740
-
Generalized noncrossing partitions and combinatorics of Coxeter groups
-
D. Armstrong, Generalized noncrossing partitions and combinatorics of Coxeter groups. Mem. Amer. Math. Soc. 202(2009), no. 949.
-
(2009)
Mem. Amer. Math. Soc.
, vol.202
, pp. 949
-
-
Armstrong, D.1
-
2
-
-
68349143543
-
A note on free quantum groups
-
T. Banica, A note on free quantum groups. Ann. Math. Blaise Pascal 15(2008), no. 2,135-146.
-
(2008)
Ann. Math. Blaise Pascal
, vol.15
, Issue.2
, pp. 135-146
-
-
Banica, T.1
-
3
-
-
34249085565
-
Free product formulae for quantum permutation groups
-
doi:10.l017/S1474748007000072
-
T. Banica and J. Bichon, Free product formulae for quantum permutation groups. J. Inst. Math. Jussieu 6(2007), no. 3,381-414. doi:10.l017/ S1474748007000072
-
(2007)
J. Inst. Math. Jussieu
, vol.6
, Issue.3
, pp. 381-414
-
-
Banica, T.1
Bichon, J.2
-
4
-
-
84857545319
-
The hyperoctahedral quantum group
-
T. Banica, J. Bichon, and B. Collins, The hyperoctahedral quantum group. J. Ramanujan Math. Soc. 22(2007), no. 4, 345-384.
-
(2007)
J. Ramanujan Math. Soc.
, vol.22
, Issue.4
, pp. 345-384
-
-
Banica, T.1
Bichon, J.2
Collins, B.3
-
5
-
-
34547992287
-
Integration over compact quantum groups
-
Doi:10.2977/prims/1201011782
-
T. Banica and B. Collins, Integration over compact quantum groups. Publ. Res. Inst. Math. Sd. 43(2007), no. 2,277-302. doi:10.2977/prims/1201011782
-
(2007)
Publ. Res. Inst. Math. Sd.
, vol.43
, Issue.2
, pp. 277-302
-
-
Banica, T.1
Collins, B.2
-
6
-
-
33750937565
-
Integration over quantum permutation groups
-
Doi:10.1016/j.jfa.2006.09.005
-
T. Banica and B. Collins, Integration over quantum permutation groups. J. Funct. Anal. 242(2007), no. 2,641-657. doi:10.1016/j.jfa.2006.09.005
-
(2007)
J. Funct. Anal.
, vol.242
, Issue.2
, pp. 641-657
-
-
Banica, T.1
Collins, B.2
-
7
-
-
0041913081
-
The atoms of the free multiplicative convolution of two probability distributions
-
Doi:10.1007/s00020-002-1145-4
-
S.T. Belinschi, The atoms of the free multiplicative convolution of two probability distributions. Integral Equations Operator Theory 46(2003), no. 4, 377-386. doi:10.1007/s00020-002-1145-4
-
(2003)
Integral Equations Operator Theory
, vol.46
, Issue.4
, pp. 377-386
-
-
Belinschi, S.T.1
-
8
-
-
15744366679
-
Partially defined semigroups relative to multiplicative free convolution
-
Doi:10.1155/IMRN.2005.65
-
S. T. Belinschi and H. Bercovici, Partially defined semigroups relative to multiplicative free convolution. Int. Math. Res. Not.2005, no. 2, 65-101. doi:10.1155/IMRN.2005.65
-
(2005)
Int. Math. Res. Not.
, vol.2
, pp. 65-101
-
-
Belinschi, S.T.1
Bercovici, H.2
-
9
-
-
0033464422
-
Stable laws and domains of attraction in free probability theory
-
Doi:10.2307/121080
-
H. Bercovici and V. Pata, Stable laws and domains of attraction in free probability theory. Ann. of Math. 149(1999), no. 3,1023-1060. doi:10.2307/121080
-
(1999)
Ann. of Math.
, vol.149
, Issue.3
, pp. 1023-1060
-
-
Bercovici, H.1
Pata, V.2
-
10
-
-
0001410646
-
Free convolution of measures with unbounded support
-
Doi:10.1512/iumj.1993.42.42033
-
H. Bercovici and D. V. Voiculescu, Free convolution of measures with unbounded support. Indiana Univ. Math. J. 42(1993), no. 3,733-773. doi:10.1512/iumj.1993.42.42033
-
(1993)
Indiana Univ. Math. J.
, vol.42
, Issue.3
, pp. 733-773
-
-
Bercovici, H.1
Voiculescu, D.V.2
-
11
-
-
0002964353
-
Some properties of crossings and partitions
-
Doi-.l 0.1016/S0012-365X(96)00139-2
-
P. Biane, Some properties of crossings and partitions. Discrete Math. 175(1997), no. 1-3,41-53. doi-.l 0.1016/S0012-365X(96)00139-2
-
(1997)
Discrete Math.
, vol.175
, Issue.1-3
, pp. 41-53
-
-
Biane, P.1
-
12
-
-
4544332682
-
Free wreath product by the quantum permutation group
-
Doi:10.1023/B:ALGE.0000042148.97035.ca
-
J. Bichon, Free wreath product by the quantum permutation group. Algebr. Represent. Theory 7(2004), no. 4, 343-362. doi:10.1023/B:ALGE.0000042148.97035. ca
-
(2004)
Algebr. Represent. Theory
, vol.7
, Issue.4
, pp. 343-362
-
-
Bichon, J.1
-
13
-
-
0031503616
-
Algebras associated to intermediate subfactors
-
Doi:10.1007/s002220050137
-
D. Bisch and V. F. R. Jones, Algebras associated to intermediate subfactors. Invent. Math. 128(1997), no. 1,89-157. doi:10.1007/s002220050137
-
(1997)
Invent. Math.
, vol.128
, Issue.1
, pp. 89-157
-
-
Bisch, D.1
Jones, V.F.R.2
-
14
-
-
0000266671
-
Chain enumeration and noncrossing partitions
-
Doi:10.1016/0012-365X180)90033-3
-
P. H. Edelman, Chain enumeration and noncrossing partitions. Discrete Math. 31(1980), no. 2, 171-180. doi:10.1016/0012-365X180)90033-3
-
(1980)
Discrete Math.
, vol.31
, Issue.2
, pp. 171-180
-
-
Edelman, P.H.1
-
15
-
-
21144454921
-
The complex Wishart distribution and the symmetric group
-
Doi:10.1214/aos/1046294466
-
P. Graczyk, G. Letac, and H. Massam, The complex Wishart distribution and the symmetric group. Ann. Statist. 31(2003), no. 1,287-309. doi:10.1214/aos/1046294466
-
(2003)
Ann. Statist.
, vol.31
, Issue.1
, pp. 287-309
-
-
Graczyk, P.1
Letac, G.2
Massam, H.3
-
16
-
-
2642557107
-
Random matrices with complex Gaussian entries
-
Doi:10.1016/S0723-0869(03)80036-1
-
U. Haagerup and S. Thorbjernsen, Random matrices with complex Gaussian entries. Expo. Math. 21(2003), no. 4, 293-337. doi:10.1016/S0723-0869(03)80036-1
-
(2003)
Expo. Math.
, vol.21
, Issue.4
, pp. 293-337
-
-
Haagerup, U.1
Thorbjernsen, S.2
-
17
-
-
0005141929
-
The semicircle law, free random variables and entropy
-
American Mathematical Society, Providence, RI
-
F. Hiaiand D. Petz, The semicircle law, free random variables and entropy. Mathematical Surveys and Monographs, 77, American Mathematical Society, Providence, RI, 2000.
-
(2000)
Mathematical Surveys and Monographs
, vol.77
-
-
Hiaiand, F.1
Petz, D.2
-
18
-
-
4544288106
-
Cumulants in noncommutative probability theory. I. Noncommutative exchangeability systems
-
Doi:10.l007/s00209-004-0653-0
-
F. Lehner, Cumulants in noncommutative probability theory. I. Noncommutative exchangeability systems. Math. Z. 248(2004), no. 1, 67-100. doi:10.l007/s00209-004-0653-0
-
(2004)
Math. Z.
, vol.248
, Issue.1
, pp. 67-100
-
-
Lehner, F.1
-
19
-
-
2642555654
-
Annular noncrossing permutations and partitions, and second-order asymptotics for random matrices
-
Doi:10.1155/SI 073792804133023
-
J. A. Mingo and A. Nica, Annular noncrossing permutations and partitions, and second-order asymptotics for random matrices. Int. Math. Res. Not. 2004, no. 28,1413-1460. doi:10.1155/SI 073792804133023
-
(2004)
Int. Math. Res. Not.
, Issue.28
, pp. 1413-1460
-
-
Mingo, J.A.1
Nica, A.2
-
20
-
-
34548040313
-
Lectures on the combinatorics of free probability
-
Cambridge University Press, Cambridge
-
A. Nica and R. Speicher, Lectures on the combinatorics of free probability. London Mathematical Society Lecture Note Series, 335, Cambridge University Press, Cambridge, 2006.
-
(2006)
London Mathematical Society Lecture Note Series
, vol.335
-
-
Nica, A.1
Speicher, R.2
-
21
-
-
0038902037
-
Multiplicative functions on the lattice of noncrossing partitions and free convolution
-
Doi:10.1007/BF01459754
-
R. Speicher, Multiplicative functions on the lattice of noncrossing partitions and free convolution. Math. Ann. 298(1994), no. 4,611-628. doi:10.1007/BF01459754
-
(1994)
Math. Ann.
, vol.298
, Issue.4
, pp. 611-628
-
-
Speicher, R.1
-
22
-
-
4243230786
-
Combinatorial theory of the free product with amalgamation and operator-valued free probability theory
-
R. Speicher, Combinatorial theory of the free product with amalgamation and operator-valued free probability theory. Mem. Amer. Math. Soc. 132(1998), no. 627.
-
(1998)
Mem. Amer. Math. Soc.
, vol.132
, pp. 627
-
-
Speicher, R.1
-
23
-
-
0347413370
-
Parking functions and noncrossing partitions
-
Research Paper
-
R. P. Stanley, Parking functions and noncrossing partitions. Electron. J. Combin. 4(1997), no. 2, Research Paper 20.
-
(1997)
Electron. J. Combin.
, vol.4
, Issue.2
, pp. 20
-
-
Stanley, R.P.1
-
24
-
-
0000404789
-
Addition of certain noncommuting random variables
-
Doi:10.1016/0022-1236(86)90062-5
-
D. Voiculescu, Addition of certain noncommuting random variables. J. Funct. Anal. 66(1986), no. 3, 323-346. doi:10.1016/0022-1236(86)90062-5
-
(1986)
J. Funct. Anal.
, vol.66
, Issue.3
, pp. 323-346
-
-
Voiculescu, D.1
-
25
-
-
0001465703
-
Multiplication of certain noncommuting random variables
-
D. Voiculescu, Multiplication of certain noncommuting random variables. J. Operator Theory 18( 1987), no. 2, 223-235.
-
(1987)
J. Operator Theory
, vol.18
, Issue.2
, pp. 223-235
-
-
Voiculescu, D.1
-
26
-
-
0003251321
-
Lectures on free probability theory
-
Springer, Berlin
-
D. Voiculescu, Lectures on free probability theory. In: Lectures on probability theory and statistics, Lecture Notes in Math., 1738, Springer, Berlin, 2000, pp. 279-349.
-
(2000)
Lectures on Probability Theory and Statistics, Lecture Notes in Math.
, vol.1738
, pp. 279-349
-
-
Voiculescu, D.1
-
27
-
-
0003341428
-
Free random variables. A noncommutative probability approach to free products with applications to random matrices, operator algebras and harmonic analysis on free groups
-
American Mathematical Society, Providence, RI
-
D. V. Voiculescu, K. J. Dykema, and A. Nica, Free random variables. A noncommutative probability approach to free products with applications to random matrices, operator algebras and harmonic analysis on free groups. CRM Monograph Series, 1, American Mathematical Society, Providence, RI, 1992.
-
(1992)
CRM Monograph Series
, vol.1
-
-
Voiculescu, D.V.1
Dykema, K.J.2
Nica, A.3
-
28
-
-
0032122588
-
Quantum symmetry groups offinite spaces
-
Doi: 10.1007/s002200050385
-
S. Wang, Quantum symmetry groups offinite spaces. Comm. Math. Phys. 195(1998), no. 1, 195-211. doi: 10.1007/s002200050385
-
(1998)
Comm. Math. Phys.
, vol.195
, Issue.1
, pp. 195-211
-
-
Wang, S.1
-
29
-
-
1542483491
-
Compact matrix pseudogroups
-
Doi:10.1007/BF01219077
-
S. L. Woronowicz, Compact matrix pseudogroups. Comm. Math. Phys. 111(1987), no. 4,613-665. doi:10.1007/BF01219077
-
(1987)
Comm. Math. Phys.
, vol.111
, Issue.4
, pp. 613-665
-
-
Woronowicz, S.L.1
-
30
-
-
0002119476
-
Tannaka-Krein duality for compact matrix pseudogroups. Twisted SU(N) groups
-
Doi:10.1007/BF01393687
-
S. L. Woronowicz, Tannaka-Krein duality for compact matrix pseudogroups. Twisted SU(N) groups. Invent. Math. 93(1988), no. 1,35-76. doi:10.1007/ BF01393687
-
(1988)
Invent. Math.
, vol.93
, Issue.1
, pp. 35-76
-
-
Woronowicz, S.L.1
|