55 citations · 65 across the 5 of their papers we have counts for
5 papers
A crossover for the bad configurations of random walk in random scenery
Sébastien Blachère, Frank den Hollander, Jeffrey E. Steif
In this paper, we consider a random walk and a random color scenery on Z. The increments of the walk and the colors of the scenery are assumed to be i.i.d. and to be independent of…
Harmonic measures versus quasiconformal measures for hyperbolic groups
Sébastien Blachère, Peter Haïssinsky, Pierre Mathieu
We establish a dimension formula for the harmonic measure of a finitely supported and symmetric random walk on a hyperbolic group. We also characterize random walks for which this…
Asymptotic entropy and green speed for random walks on countable groups
Sébastien Blachère, Peter Haïssinsky, Pierre Mathieu
We study asymptotic properties of the Green metric associated with transient random walks on countable groups. We prove that the rate of escape of the random walk computed in the G…
Internal Diffusion Limited Aggregation on discrete groups having exponential growth
Sebastien Blachere, Sara Brofferio
The Internal Diffusion Limited Aggregation has been introduced by Diaconis and Fulton in 1991. It is a growth model defined on an infinite set and associated to a Markov chain on t…
Logarithmic fluctuations for the Internal Diffusion Limited Aggregation
Sebastien Blachere
This paper has been withdrawn by the author due to an error in the computation of E(n,x) on page 6 which appears to be essential for the result. The author is currently trying to c…