3 papers
math.PR2015
Excited random walks with non-nearest neighbor steps
Burgess Davis, Jonathon Peterson
Let be an integer valued random variable satisfying and , and consider a self-interacting random walk that behaves like a simple symmetric random wa…
math.PR2010
Donald Burkholder's work in martingales and analysis
Rodrigo Bañuelos, Burgess Davis
Overview of Burkholder's work on martingales and analysis
math.SP2006
On the Spectral Gap for Convex Domains
Burgess Davis, Majid Hosseini
We prove the following for a bounded convex planar domain that is symmetric with respect to both coordinate axes. Consider a centered rectangle with sides parallel to the axes that…