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Filtering by: Advisor Barta, Winfried Committee Member Mahmoud, Hosam

Description:: We study the convergence behavior of Markov chains for the Ising and Potts models on graphs with n vertices and maximum degree &Delta.; In the case of Glauber dynamics for the Potts model with q colors, we use path coupling to establish rapid mixing (in order nlogn steps) in the high temperature...
Author:: Gao, Zhikun
Keyword:: Path coupling, Ising model, Metropolis chains, Potts model, and Glauber dynamics
GW Unit:: Statistics
Degree:: M.S.
Advisor:: Barta, Winfried
Committee Member(s):: Mahmoud, Hosam
Resource Type:: Thesis or Dissertation

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