Perla Sousi

3 citations · 4 across the 4 of their papers we have counts for

collaborators

4 papers

math.PR2011★ 1 cited

An isoperimetric inequality for the Wiener sausage

Yuval Peres, Perla Sousi

Let $(ξ (s))_{s \geq 0}$ be a standard Brownian motion in $d \geq 1$ dimensions and let $(D_{s})_{s \geq 0}$ be a collection of open sets in $R^{d}$ . For each $s$ , let $B_{s}$ be a ball ce…

math.PR2010

Brownian motion with variable drift: 0-1 laws, hitting probabilities and Hausdorff dimension

Yuval Peres, Perla Sousi

By the Cameron--Martin theorem, if a function $f$ is in the Dirichlet space $D$ , then $B + f$ has the same a.s. properties as standard Brownian motion, $B$ . In this paper we examine…

math.PR2010

Mobile Geometric Graphs: Detection, Coverage and Percolation

Yuval Peres, Alistair Sinclair, Perla Sousi +1

We consider the following dynamic Boolean model introduced by van den Berg, Meester and White (1997). At time 0, let the nodes of the graph be a Poisson point process in R^d with c…

math.PR2010★ 3 cited

Collisions of Random Walks

Martin T. Barlow, Yuval Peres, Perla Sousi

A recurrent graph $G$ has the infinite collision property if two independent random walks on $G$ , started at the same point, collide infinitely often a.s. We give a simple criterio…