117 citations · 561 across the 64 of their papers we have counts for
9 papers · 2 filters
A quenched large deviation principle in a continuous scenario
Matthias Birkner, Frank den Hollander
We prove the analogue for continuous space-time of the quenched LDP derived in Birkner, Greven and den Hollander (2010) for discrete space-time. In particular, we consider a random…
Gibbs-non-Gibbs dynamical transitions for mean-field interacting Brownian motions
Frank den Hollander, Frank Redig, Willem van Zuijlen
We consider a system of real-valued spins interacting with each other through a mean-field Hamiltonian that depends on the empirical magnetization of the spins via a general potent…
Phase diagram for a copolymer in a micro-emulsion
Frank den Hollander, Nicolas Pétrélis
In this paper we study a model describing a copolymer in a micro-emulsion. The copolymer consists of a random concatenation of hydrophobic and hydrophilic monomers, the micro-emuls…
Berman-Konsowa principle for reversible Markov jump processes
F. den Hollander, S. Jansen
In this paper we prove a version of the Berman-Konsowa principle for reversible Markov jump processes on Polish spaces. The Berman-Konsowa principle provides a variational formula…
A general smoothing inequality for disordered polymers
Francesco Caravenna, Frank den Hollander
This note sharpens the smoothing inequality of Giacomin and Toninelli for disordered polymers. This inequality is shown to be valid for any disorder distribution with locally finit…
Random walk in a high density dynamic random environment
Frank den Hollander, Harry Kesten, Vladas Sidoravicius
The goal of this note is to prove a law of large numbers for the empirical speed of a green particle that performs a random walk on top of a field of red particles which themselves…
Heat content and inradius for regions with a Brownian boundary
M. van den Berg, E. Boltausen, F. den Hollander
In this paper we consider , Brownian motion of time length , in -dimensional Euclidean space and on the -dimensional torus . We com…
The parabolic Anderson model in a dynamic random environment: space-time ergodicity for the quenched Lyapunov exponent
Dirk Erhard, Frank den Hollander, Gregory Maillard
We continue our study of the parabolic Anderson equation , , , where is the diffusion con…
Large deviation principles for words drawn from correlated letter sequences
Frank den Hollander, Julien Poisat
When an i.i.d.\ sequence of letters is cut into words according to i.i.d.\ renewal times, an i.i.d.\ sequence of words is obtained. In the \emph{annealed} LDP (large deviation prin…