14 citations · 37 across the 19 of their papers we have counts for
20 papers · 1 filter
On the Pseudo-Mixing of Kac's Walk
Natesh S. Pillai, Aaron Smith, Vinod Vaikuntanathan
Motivated by a conjecture of Vaikuntanathan and Zamir, we study the pseudo-mixing of Kac's walk on : whether short trajectories are indistinguishable from Haar meas…
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…
Reconstruction of Line-Embeddings of Graphons
Jeannette Janssen, Aaron Smith
Consider a random graph process with vertices corresponding to points embedded randomly in the interval, and where edges are inserted between $v_{i}, v…
Cutoff for the Square Plaquette Model on a Critical Length Scale
Paul Chleboun, Aaron Smith
Plaquette models are short range ferromagnetic spin models that play a key role in the dynamic facilitation approach to the liquid glass transition. In this paper we study the dyna…
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…