41 citations · 47 across the 6 of their papers we have counts for
4 papers · 1 filter
Moments and distribution of the local times of a transient random walk on
Mathias Becker, Wolfgang Konig
Consider an arbitrary transient random walk on with . Pick and let be the spatial sum of the -th power of the -step local times of th…
Large deviations for many Brownian bridges with symmetrised initial-terminal condition
Stefan Adams, Wolfgang König
Consider a large system of Brownian motions in with some non-degenerate initial measure on some fixed time interval with symmetrised initial-terminal con…
Large deviations for the one-dimensional Edwards model
R. van der Hofstad, F. den Hollander, W. Koenig
In this paper we prove a large deviation principle for the empirical drift of a one-dimensional Brownian motion with self-repellence called the Edwards model. Our results extend ea…
Weak-interaction limits for one-dimensional random polymers
R. van der Hofstad, F. den Hollander, W. Koenig
In this paper we present a new and flexible method to show that, in one dimension, various self-repellent random walks converge to self-repellent Brownian motion in the limit of we…