-
1
-
-
0002964353
-
Some properties of crossings and partitions
-
Biane P. Some properties of crossings and partitions. Discrete Math. 175 1-3 (1997) 41-53
-
(1997)
Discrete Math.
, vol.175
, Issue.1-3
, pp. 41-53
-
-
Biane, P.1
-
2
-
-
0013195416
-
Representations of symmetric groups and free probability
-
Biane P. Representations of symmetric groups and free probability. Adv. in Math. 138 1 (1998) 126-181
-
(1998)
Adv. in Math.
, vol.138
, Issue.1
, pp. 126-181
-
-
Biane, P.1
-
3
-
-
18844471198
-
Approximate factorization and concentration for characters of symmetric groups
-
Biane P. Approximate factorization and concentration for characters of symmetric groups. Internat. Math. Res. Notices 4 (2001) 179-192
-
(2001)
Internat. Math. Res. Notices
, vol.4
, pp. 179-192
-
-
Biane, P.1
-
4
-
-
33645849491
-
-
P. Biane, Characters of symmetric groups and free cumulants, in: A.M. Vershik (Ed.), Asymptotic Combinatorics with Applications to Mathematical Physics, Lecture Notes in Mathematics, vol. 1815, Springer, Berlin, 2003, pp. 185-200.
-
-
-
-
5
-
-
33645870945
-
-
W. Fulton, Young tableaux, London Mathematical Society Student Texts, vol. 35, Cambridge University Press, Cambridge, 1997. With applications to representation theory and geometry.
-
-
-
-
6
-
-
21344442163
-
Connection coefficients, matchings, maps and combinatorial conjectures for Jack symmetric functions
-
Goulden I.P., and Jackson D.M. Connection coefficients, matchings, maps and combinatorial conjectures for Jack symmetric functions. Trans. Amer. Math. Soc. 348 3 (1996) 873-892
-
(1996)
Trans. Amer. Math. Soc.
, vol.348
, Issue.3
, pp. 873-892
-
-
Goulden, I.P.1
Jackson, D.M.2
-
7
-
-
0035647532
-
Inequivalent transitive factorizations into transpositions
-
Goulden I.P., Jackson D.M., and Latour F.G. Inequivalent transitive factorizations into transpositions. Canad. J. Math. 53 4 (2001) 758-779
-
(2001)
Canad. J. Math.
, vol.53
, Issue.4
, pp. 758-779
-
-
Goulden, I.P.1
Jackson, D.M.2
Latour, F.G.3
-
8
-
-
33645878554
-
-
I.P. Goulden, A. Rattan, An explicit form for Kerov's character polynomials, Preprint arXiv:math.CO/0505317, 2005.
-
-
-
-
9
-
-
38249021064
-
On products of conjugacy classes of the symmetric group
-
Goupil A. On products of conjugacy classes of the symmetric group. Discrete Math. 79 1 (1989/90) 49-57
-
(1989)
Discrete Math.
, vol.79
, Issue.1
, pp. 49-57
-
-
Goupil, A.1
-
11
-
-
0032352237
-
Factoring n-cycles and counting maps of given genus
-
Goupil A., and Schaeffer G. Factoring n-cycles and counting maps of given genus. European J. Combin. 19 7 (1998) 819-834
-
(1998)
European J. Combin.
, vol.19
, Issue.7
, pp. 819-834
-
-
Goupil, A.1
Schaeffer, G.2
-
12
-
-
33645863713
-
-
M.I. Guta, Gaussian processes in non-commutatie probability theory, Ph.D. Thesis, University of Nijmegen, The Netherlands, 2002.
-
-
-
-
13
-
-
0003707650
-
-
American Mathematical Society, Providence, RI
-
Hiai F., and Petz D. The Semicircle Law, Free Random Variables and Entropy (2000), American Mathematical Society, Providence, RI
-
(2000)
The Semicircle Law, Free Random Variables and Entropy
-
-
Hiai, F.1
Petz, D.2
-
14
-
-
33645855185
-
-
V. Ivanov, S. Kerov, The algebra of conjugacy classes in symmetric groups, and partial permutations, Zap. Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov. (POMI), 256 (Teor. Predst. Din. Sist. Komb. i Algoritm. Metody. 3) (1999) 95-120, 265.
-
-
-
-
15
-
-
33645867333
-
-
V. Ivanov, G. Olshanski, Kerov's central limit theorem for the Plancherel measure on Young diagrams, in: S. Fomin (Ed.), Symmetric Functions 2001: Surveys of Developments and Perspectives, NATO Science Series II. Mathematics, Physics and Chemistry, vol. 74, Kluwer, Dordrecht, 2002, pp. 93-151.
-
-
-
-
16
-
-
0040345654
-
-
S.V. Kerov, Transition probabilities of continual Young diagrams and the Markov moment problem, Funktsional. Anal. i Prilozhen. 27(2) (1993) 32-49, 96.
-
-
-
-
17
-
-
33645881897
-
-
S. Kerov, Interlacing measures, in: Kirillov's Seminar on Representation Theory, American Mathematical Society Translation Series 2, vol. 181, American Mathematical Society, Providence, RI, 1998, pp. 35-83.
-
-
-
-
18
-
-
33645879479
-
-
S. Kerov, A differential model for the growth of Young diagrams, in: Proceedings of the St. Petersburg Mathematical Society, vol. IV, American Mathematical Society Translation Series 2, vol. 188, American Mathematical Society, Providence, RI, 1999, pp. 111-130.
-
-
-
-
19
-
-
0007117395
-
Polynomial functions on the set of Young diagrams
-
Kerov S., and Olshanski G. Polynomial functions on the set of Young diagrams. C. R. Acad. Sci. Paris Sér. I Math. 319 2 (1994) 121-126
-
(1994)
C. R. Acad. Sci. Paris Sér. I Math.
, vol.319
, Issue.2
, pp. 121-126
-
-
Kerov, S.1
Olshanski, G.2
-
20
-
-
0000513203
-
Sur les partitions non croisées d'un cycle
-
Kreweras G. Sur les partitions non croisées d'un cycle. Discrete Math. 1 4 (1972) 333-350
-
(1972)
Discrete Math.
, vol.1
, Issue.4
, pp. 333-350
-
-
Kreweras, G.1
-
21
-
-
33645873532
-
-
A. Lascoux, J.-Y. Thibon, Vertex operators and the class algebras of symmetric groups. Zap. Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov. (POMI) 283 (Teor. Predst. Din. Sist. Komb. i Algoritm. Metody. 6) (2001) 156-177, 261.
-
-
-
-
22
-
-
33645850072
-
-
P.-A. Meyer, Quantum probability for probabilists, Lecture Notes in Mathematics, vol. 1538, Springer, Berlin, 1993.
-
-
-
-
23
-
-
0346385960
-
Random matrices and random permutations
-
Okounkov A. Random matrices and random permutations. Internat. Math. Res. Notices 20 (2000) 1043-1095
-
(2000)
Internat. Math. Res. Notices
, vol.20
, pp. 1043-1095
-
-
Okounkov, A.1
-
24
-
-
0007110636
-
A new approach to the representation theory of symmetric groups
-
Okounkov A., and Vershik A.M. A new approach to the representation theory of symmetric groups. Selecta Math. (N.S.) 4 (1996) 581-605
-
(1996)
Selecta Math. (N.S.)
, vol.4
, pp. 581-605
-
-
Okounkov, A.1
Vershik, A.M.2
-
25
-
-
0002207827
-
On the structure of the lattice of noncrossing partitions
-
Simion R., and Ullman D. On the structure of the lattice of noncrossing partitions. Discrete Math. 98 3 (1991) 193-206
-
(1991)
Discrete Math.
, vol.98
, Issue.3
, pp. 193-206
-
-
Simion, R.1
Ullman, D.2
-
26
-
-
33645846879
-
-
P. Śniady, Free probability and representations of large symmetric groups, Preprint arXiv:math.CO/0304275, 2003.
-
-
-
-
27
-
-
33645885999
-
-
P. Śniady, Symmetric groups and random matrices, Preprint arXiv:math.CO/0301299, 2003.
-
-
-
-
28
-
-
33645876712
-
-
P. Śniady, Table of reduced pair-partitions with genus 2, Preprint, 2004.
-
-
-
-
29
-
-
33746406355
-
-
P. Śniady, Gaussian fluctuations of characters of symmetric groups and of Young diagrams, Probab. Theory Related Fields, Preprint arXiv:math.CO/0501112, 2005, to appear, doi: 10.1007/s00440-005-0483-y.
-
-
-
-
30
-
-
0038902037
-
Multiplicative functions on the lattice of noncrossing partitions and free convolution
-
Speicher R. Multiplicative functions on the lattice of noncrossing partitions and free convolution. Math. Ann. 298 4 (1994) 611-628
-
(1994)
Math. Ann.
, vol.298
, Issue.4
, pp. 611-628
-
-
Speicher, R.1
-
31
-
-
33645843870
-
-
R. Speicher, Free probability theory and non-crossing partitions, Sém. Lothar. Combin. 39 (1997) Art. B39c, 38pp. (electronic).
-
-
-
-
32
-
-
4243230786
-
Combinatorial theory of the free product with amalgamation and operator-valued free probability theory
-
Speicher R. Combinatorial theory of the free product with amalgamation and operator-valued free probability theory. Mem. Amer. Math. Soc. 132 627 (1998) x+88
-
(1998)
Mem. Amer. Math. Soc.
, vol.132
, Issue.627
-
-
Speicher, R.1
-
33
-
-
33645891614
-
-
R. Stanley, Irreducible symmetric group characters of rectangular shape, Preprint arXiv:math.CO/0109091, 2002.
-
-
-
-
34
-
-
33645850662
-
-
R. Stanley, Kerov's character polynomial and irreducible symmetric group characters of rectangular shape, Transparencies from a talk in Québec City, available at 〈http://www.math.mit.edu/ ∼rstan/trans.html 〉, 2002.
-
-
-
-
35
-
-
33645860776
-
-
A.M. Vershik, S.V. Kerov, Asymptotic behavior of the maximum and generic dimensions of irreducible representations of the symmetric group, Funktsional. Anal. i Prilozhen. 19(1) (1985) 25-36, 96.
-
-
-
-
36
-
-
33645884968
-
-
D. Voiculescu, Free probability theory: random matrices and von Neumann algebras, in: Proceedings of the International Congress of Mathematicians, vol. 1, 2, Zürich, 1994, Birkhäuser, Basel, 1995, pp. 227-241.
-
-
-
-
37
-
-
33645890812
-
-
D. Voiculescu, Lectures on free probability theory, in: Lectures on Probability Theory and Statistics, Saint-Flour, 1998, Springer, Berlin, 2000, pp. 279-349.
-
-
-
-
38
-
-
0004195394
-
-
American Mathematical Society, Providence, RI
-
Voiculescu D.V., Dykema K.J., and Nica A. Free Random Variables (1992), American Mathematical Society, Providence, RI
-
(1992)
Free Random Variables
-
-
Voiculescu, D.V.1
Dykema, K.J.2
Nica, A.3
-
39
-
-
0031258947
-
-
A. Zvonkin, Matrix integrals and map enumeration: an accessible introduction, Math. Comput. Modelling 26(8-10) (1997) 281-304, Combin. Phys. (Marseilles), 1995.
-
-
-
|