S. Lalley

activity

20042023

most citedStatistical regularities of self-intersection counts for geodesics on negatively curved surfaces

9 citations · 56 across the 26 of their papers we have counts for

collaborators

Showing 2011Show all

3 papers · 1 filter

math.PR2011★ 8 cited

A phase transition for measure-valued SIR epidemic processes

Steven P. Lalley, Edwin A. Perkins, Xinghua Zheng

We consider measure-valued processes $X = (X_{t})$ that solve the following martingale problem: for a given initial measure $X_{0}$ , and for all smooth, compactly supported test function…

math.DS2011★ 9 cited

Statistical regularities of self-intersection counts for geodesics on negatively curved surfaces

Steven P. Lalley

Let $Υ$ be a compact, negatively curved surface. From the (finite) set of all closed geodesics on $Υ$ of length $\leq L$ , choose one, say $γ_{L}$ , at random and let $N (γ_{L})$ be…

math.PR2011

Random Walk on a Co-Compact Fuchsian Group

Sébastien Gouëzel, Steven P. Lalley

It is proved that the Green's function of a symmetric finite range random walk on a co-compact Fuchsian group decays exponentially in distance at the radius of convergence R. It is…