3 papers
math.PR2006
A Random Walk with Collapsing Bonds and Its Scaling Limit
Majid Hosseini, Krishnamurthi Ravishankar
We introduce a new self-interacting random walk on the integers in a dynamic random environment and show that it converges to a pure diffusion in the scaling limit. We also find a…
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…
math.PR2005
A Sharp Inequality for Conditional Distribution of the First Exit Time of Brownian Motion
Majid Hosseini
Let be a domain, convex in and symmetric about the y-axis, which is contained in a centered and oriented rectangle . \linebreak If is the first exit time of Browni…