Markov dynamics on the dual object to the infinite-dimensional unitary group [article]

Grigori Olshanski
2013 arXiv   pre-print
These are notes for a mini-course of 3 lectures given at the St. Petersburg School in Probability and Statistical Physics (June 2012). My aim was to explain, on the example of a particular model, how ideas from the representation theory of big groups can be applied in probabilistic problems. The material is based on the joint paper arXiv:1009.2029 by Alexei Borodin and myself; a broader range of topics is surveyed in the lecture notes by Alexei Borodin and Vadim Gorin arXiv:1212.3351.
arXiv:1310.6155v1 fatcat:d7pl2qakxvdazhux2ehlyj3yda