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Nonstandard Representation of the Dirichlet Form
Robert M. Anderson, Haosui Duanmu, Aaron Smith
The Dirichlet form is a generalization of the Laplacian, heavily used in the study of many diffusion-like processes. In this paper we present a nonstandard representation theorem f…
Drift, Minorization, and Hitting Times
Robert M. Anderson, Haosui Duanmu, Aaron Smith +1
The "drift-and-minorization" method, introduced and popularized in (Rosenthal, 1995; Meyn and Tweedie, 1994; Meyn and Tweedie, 2012), remains the most popular approach for bounding…
Mixing Times and Hitting Times for General Markov Processes
Robert M. Anderson, Haosui Duanmu, Aaron Smith
The hitting and mixing times are two fundamental quantities associated with Markov chains. In Peres and Sousi[PS2015] and Oliveira[Oli2012], the authors show that the mixing times…