Add to ORKG16 pagesWe show a remarkable similarity between strategies to realize a large intersection or self-intersection local times in dimension five or more. This leads to the same rate functional for large deviation principles for the two objects obtained respectively by Chen and Morters, and by the present author. We also present a new estimate for the distribution of high level sets for a random walk, with application to the geometry of the intersection set of two high level sets of the local times of two independent random walks
35 pages. Final revised versionWe reveal a shape transition for a transient simple random walk force...
We consider $p$ independent Brownian motions in $R^d$. We assume that $pgeq 2$ and $p(d-2)<d$. Let $...
We discuss the logarithmic asymptotics for the upper tails of self-intersection local times of rando...
AbstractLet (Xt,t≥0) be a random walk on Zd. Let lT(x)=∫0Tδx(Xs)ds be the local time at the state x ...
The asymptotics of the probability that the self-intersection local time of a random walk on Zd exce...
Sample path intersection has been of interest to physicists for many years, due to its connections t...
We prove a Large Deviations Principle for the number of intersections of two independent infinite-ti...
In this thesis we are interested in the self-intersection local times of random walks. This quantity...
For a Zd-valued random walk (Sn)n N0, let l(n,x) be its local time at the site x Zd. For α N, define...
We investigate random walks in independent, identically distributed random sceneries under the assum...
We consider p independent Brownian motions in ℝd. We assume that p ≥ 2 and p(d- 2) < d. Let ℓt deno...
Let $(X_t, t \geq 0)$ be an $\alpha$-stable random walk with values in $\Z^d$. Let $l_t(x) = \int_0^...
We determine the precise asymptotics of the logarithmic upper tail probability of the total intersec...
Fix p>1, not necessarily integer, with p(d-2)0 that are bounded from above, possibly tending to zero...
Abstract. We determine the precise asymptotics of the logarithmic upper tail probability of the tota...
35 pages. Final revised versionWe reveal a shape transition for a transient simple random walk force...
We consider $p$ independent Brownian motions in $R^d$. We assume that $pgeq 2$ and $p(d-2)<d$. Let $...
We discuss the logarithmic asymptotics for the upper tails of self-intersection local times of rando...
AbstractLet (Xt,t≥0) be a random walk on Zd. Let lT(x)=∫0Tδx(Xs)ds be the local time at the state x ...
The asymptotics of the probability that the self-intersection local time of a random walk on Zd exce...
Sample path intersection has been of interest to physicists for many years, due to its connections t...
We prove a Large Deviations Principle for the number of intersections of two independent infinite-ti...
In this thesis we are interested in the self-intersection local times of random walks. This quantity...
For a Zd-valued random walk (Sn)n N0, let l(n,x) be its local time at the site x Zd. For α N, define...
We investigate random walks in independent, identically distributed random sceneries under the assum...
We consider p independent Brownian motions in ℝd. We assume that p ≥ 2 and p(d- 2) < d. Let ℓt deno...
Let $(X_t, t \geq 0)$ be an $\alpha$-stable random walk with values in $\Z^d$. Let $l_t(x) = \int_0^...
We determine the precise asymptotics of the logarithmic upper tail probability of the total intersec...
Fix p>1, not necessarily integer, with p(d-2)0 that are bounded from above, possibly tending to zero...
Abstract. We determine the precise asymptotics of the logarithmic upper tail probability of the tota...
35 pages. Final revised versionWe reveal a shape transition for a transient simple random walk force...
We consider $p$ independent Brownian motions in $R^d$. We assume that $pgeq 2$ and $p(d-2)<d$. Let $...
We discuss the logarithmic asymptotics for the upper tails of self-intersection local times of rando...