Date of Award

Spring 1-1-2011

Document Type

Dissertation

Degree Name

Doctor of Philosophy (PhD)

Department

Mathematics

First Advisor

Richard Holley

Second Advisor

Sergei Kuznetsov

Abstract

We study a generalization, which allows interaction between two sites at a time, of Spitzer's zero range interaction process. We first identify the stationary measure for finitely many interaction sites. Then we study the process for infinitely many interaction sites and by using free energy consideration we identify all of the translation invariant stationary measures satisfying a certain mixing condition.

Included in

Mathematics Commons

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