206 citations · 940 across the 55 of their papers we have counts for
5 papers · 2 filters
Stuck Walks
Anna Erschler, Balint Toth, Wendelin Werner
We investigate the asymptotic behaviour of a class of self-interacting nearest neighbour random walks on the one-dimensional integer lattice which are pushed by a particular linear…
Some locally self-interacting walks on the integers
Anna Erschler, Balint Toth, Wendelin Werner
We study certain self-interacting walks on the set of integers, that choose to jump to the right or to the left randomly but influenced by the number of times they have previously…
Random soups, carpets and fractal dimensions
Serban Nacu, Wendelin Werner
We study some properties of a class of random connected planar fractal sets induced by a Poissonian scale-invariant and translation-invariant point process. Using the second-moment…
Conformal Loop Ensembles: The Markovian characterization and the loop-soup construction
Scott Sheffield, Wendelin Werner
For random collections of self-avoiding loops in two-dimensional domains, we define a simple and natural conformal restriction property that is conjecturally satisfied by the scali…
Conformal Loop Ensembles: Construction via Loop-soups
Scott Sheffield, Wendelin Werner
The two-dimensional Brownian loop-soup is a Poissonian random collection of loops in a planar domain with an intensity parameter c. When c is not greater than 1, we show that the o…