117 citations · 561 across the 64 of their papers we have counts for
6 papers · 2 filters
Extremal geometry of a Brownian porous medium
Jesse Goodman, Frank den Hollander
The path W[0,t] of a Brownian motion on a d-dimensional torus T^d run for time t is a random compact subset of T^d. We study the geometric properties of the complement T^d \ W[0,t]…
Renormalisation of hierarchically interacting Cannings processes
Andreas Greven, Frank den Hollander, Sandra Kliem +1
The present paper brings a new class of interacting jump processes into focus. We start from a single-colony -process, which arises as the continuum-mass limit of a -Cannin…
Kawasaki dynamics with two types of particles: critical droplets
Frank den Hollander, Francesca Romana Nardi, Alessio Troiani
This is the third in a series of three papers in which we study a two-dimensional lattice gas consisting of two types of particles subject to Kawasaki dynamics at low temperature i…
Pinning of a random walk by a random walk: proof of a conjecture
Frank den Hollander, Alex A. Opoku
In [3] the radius of convergence of the generating function of the collision local time of two independent copies of an irreducible, symmetric and transient random walk on Zd, d \g…
Copolymer with pinning: variational characterization of the phase diagram
Frank den Hollander, Alex A. Opoku
This paper studies a polymer chain in the vicinity of a linear interface separating two immiscible solvents. The polymer consists of random monomer types, while the interface carri…
Variational description of Gibbs-non-Gibbs dynamical transitions for the Curie-Weiss model
Roberto Fernández, Frank den Hollander, Julián Martínez
We perform a detailed study of Gibbs-non-Gibbs transitions for the Curie-Weiss model subject to independent spin-flip dynamics ("infinite-temperature" dynamics). We show that, in t…