1 citations · 1 across the 3 of their papers we have counts for
5 papers
Finitely-additive, countably-additive and internal probability measures
Haosui Duanmu, William Weiss
We discuss two ways to construct standard probability measures, called push-down measures, from internal probability measures. We show that the Wasserstein distance between an inte…
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…
Productively Lindelof and Indestructibly Lindelof Spaces
Haosui Duanmu, Franklin D. Tall, Lyubomyr Zdomskyy
There has recently been considerable interest in productively Lindelof spaces, i.e. spaces such that their product with every Lindelof space is Lindelof. Here we make several relat…