Glauber and Kawasaki Dynamics for Determinantal Point Processes in Discrete Spaces

Myeongju CHAE; Hyun Jae YOO

doi:10.4036/iis.2009.377

Interdisciplinary Information Sciences

Online ISSN : 1347-6157
Print ISSN : 1340-9050
ISSN-L : 1340-9050

Special Issue: New Trends in Infinite Dimensional Analysis and Quantum Probability

Glauber and Kawasaki Dynamics for Determinantal Point Processes in Discrete Spaces

Myeongju CHAE, Hyun Jae YOO

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Keywords: Glauber dynamics, Kawasaki dynamics, determinantal point process, Papangelou intensity, invariant measure, ergodic process

JOURNAL FREE ACCESS

2009 Volume 15 Issue 3 Pages 377-388

DOI https://doi.org/10.4036/iis.2009.377

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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.

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