On the Vershik–Kerov Conjecture Concerning the Shannon–McMillan–Breiman Theorem for the Plancherel Family of Measures on the Space of Young Diagrams

Author:

Bufetov Alexander I.

Publisher

Springer Science and Business Media LLC

Subject

Geometry and Topology,Analysis

Reference21 articles.

1. M. Abramowitz and I.A. Stegun (eds.). Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables. Tenth printing. http://people.math.sfu.ca/~cbm/aands/ .

2. Baik J., Deift P., Johansson K.: On the distribution of the length of the longest increasing subsequence of random permutations. Journal of American Mathematical Society, 12, 1119–1178 (1999)

3. Borodin A., Okounkov A., Olshanski G.: Asymptotics of Plancherel measures for symmetric groups. Journal of American Mathematical Society, 13, 481–515 (2000)

4. Borodin A., Olshanski G.: Distributions on partitions, point processes, and the hypergeometric kernel. Communications in Mathematical Physics(2) 211, 335–358 (2000)

5. Bogachev L.V., Su Ch.G.: A central limit theorem for random partitions with respect to the Plancherel measure.. (Russian) Doklady Akademii Nauk(3) 414, 295–298 (2007)

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