Schur dynamics of the Schur processes |
| |
| Authors: | Alexei Borodin |
| |
| Institution: | aCalifornia Institute of Technology, Pasadena, CA, United States;bMassachusetts Institute of Technology, Cambridge, MA, United States;cInstitute for Information Transmission Problems, Moscow, Russia |
| |
| Abstract: | We construct discrete time Markov chains that preserve the class of Schur processes on partitions and signatures.One application is a simple exact sampling algorithm for qvolume-distributed skew plane partitions with an arbitrary back wall. Another application is a construction of Markov chains on infinite Gelfand–Tsetlin schemes that represent deterministic flows on the space of extreme characters of the infinite-dimensional unitary group. |
| |
| Keywords: | Schur processes Markov dynamics |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
