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Filtering by: Committee Member Burton, R. M. Committee Member Burton Jr, Robert M. Degree Level Master's

Mixing time for a 3-cycle interacting particle system : a coupling approach

Creator:

Eves, Matthew Jasper

Abstract:

This thesis examines the mixing times for one-dimensional interacting particle systems. We use the coupling method to study the mixing rates for particle systems on the circle which move according to specific permutations e.g., transpositions and 3-cycles.

Resource Type:

Masters Thesis

Full Text:

each m ≤ n; E[Mn+1|Fm] = Mm Theorem 1.1.5.1 Optional Stopping Theorem. Let Mn be a bounded martingale