4 papers
Probability measures on families of partitions related to harmonic analysis on big wreath products
Eugene Strahov
We construct generalized regular representations of the wreath product of a compact group with the infinite symmetric group. The characters of these representations are determined…
Last-passage percolation and product-matrix ensembles
Sergey Berezin, Eugene Strahov
We introduce and study a model of directed last-passage percolation in planar layered environment. This environment is represented by an array of random exponential clocks arranged…
Generalized regular representations of big wreath products
Eugene Strahov
Let be a finite group with conjugacy classes, and be the infinite symmetric group, i.e. the group of finite permutations of . Then…
Multiple Partition Structures and Harmonic Functions on Branching Graphs
Eugene Strahov
We introduce and study multiple partition structures which are sequences of probability measures on families of Young diagrams subjected to a consistency condition. The multiple pa…