- Main
Metastability of Zero Range Processes
- Oh, Chanwoo
- Advisor(s): Rezakhanlou, Fraydoun
Abstract
This dissertation is about the metastability of a condensed zero range process on a fixed finite set. Most of the time, nearly all particles of this zero range process are at one single site. The site of condensate asymptotically behaves as a Markov chain. This is proven for the reversible case, for the totally asymmetric case, and for the non-reversible case using the martingale approach which requires precise estimates of capacities. We prove the metastability of zero range processes on a fixed finite set with an approach using solutions of Poisson equations. By this approach, we circumvent precise estimates of capacities and prove the metastability for both reversible and non-reversible cases.
Main Content
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