Infinite-dimensional diffusions as limits of random walks on partitions

Author:

Borodin Alexei,Olshanski Grigori

Publisher

Springer Science and Business Media LLC

Subject

Statistics, Probability and Uncertainty,Statistics and Probability,Analysis

Reference34 articles.

1. Borodin, A.: Harmonic analysis on the infinite symmetric group and the Whittaker kernel. St. Petersb. Math. J. 12(5), 733–759 (2001)

2. Borodin, A., Olshanski, G.: Point processes and the infinite symmetric group. Math. Res. Lett. 5, 799–816 (1998). arXiv: math.RT/9810015

3. Borodin, A., Olshanski, G.: Distributions on partitions, point processes and the hypergeometric kernel. Comm. Math. Phys. 211, 335–358 (2000). arXiv: math. RT/9904010

4. Borodin, A., Olshanski, G.: Harmonic functions on multiplicative graphs and interpolation polynomials. Electron. J. Comb. 7 (2000), paper #R28. arXiv: math/9912124

5. Borodin, A., Olshanski, G.: Z-Measures on partitions, Robinson–Schensted–Knuth correspondence, and β = 2 random matrix ensembles. In: Bleher, P.M., Its, A.R. (eds.) Random Matrix Models and their Applications, vol. 40, pp. 71–94. Mathematical Sciences Research Institute Publications, Cambridge University Press, London (2001). arXiv: math/9905189

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