3 papers
math.PR2002
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…
math.PR2002
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…
math-ph2000
Screening effect due to heavy lower tails in one-dimensional parabolic Anderson model
Marek Biskup, Wolfgang Koenig
We consider the large-time behavior of the solution to the parabolic Anderson problem with initial data $u(0,\cdot)=…