Glauber and Kawasaki Dynamics for Determinantal Point Processes in Discrete Spaces
Mathematical Physics
2010-01-12 v1 math.MP
Abstract
We construct the equilibrium Glauber and Kawasaki dynamics on discrete spaces which leave invariant certain determinantal point processes. We will construct Fellerian Markov processes with specified core for the generators. Further, we discuss the ergodicity of the processes.
Cite
@article{arxiv.1001.1589,
title = {Glauber and Kawasaki Dynamics for Determinantal Point Processes in Discrete Spaces},
author = {Myeongju Chae and Hyun Jae Yoo},
journal= {arXiv preprint arXiv:1001.1589},
year = {2010}
}