Date of Award
Doctor of Philosophy (PhD)
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.
Kim, Eun Hyea, "Giving Spitzer's Zero Range Process a Positive Range" (2011). Mathematics Graduate Theses & Dissertations. 6.