69 citations · 346 across the 30 of their papers we have counts for
36 papers
Scaling limit of stretched Brownian chains
Frank Aurzada, Volker Betz, Mikhail Lifshits
We show that a properly scaled stretched long Brownian chain converges to a two-parametric stochastic process, given by the sum of an explicit deterministic continuous function and…
Speed Function for Biased Random Walks with Traps
Volker Betz, Matthias Meiners, Ivana Tomic
We consider a biased nearest-neighbor random walk on which at each step is trapped for some random time with random, site-dependent mean. We derive a simple formula for the sp…
Effective mass of the Polaron: a lower bound
Volker Betz, Steffen Polzer
We show that the effective mass of the Fröhlich Polaron is bounded below by for some constant and for all coupling constants . The proof uses the point process…
A functional central limit theorem for Polaron path measures
Volker Betz, Steffen Polzer
The application of the Feynman-Kac formula to Polaron models of quantum theory leads to the path measure of Brownian motion perturbed by a pair potential that is translation invari…
Universal break law for chains of Brownian particles with nearest neighbour interaction
Frank Aurzada, Volker Betz, Mikhail Lifshits
We investigate the behaviour of a finite chain of Brownian particles, interacting through a pairwise potential , with one end of the chain fixed and the other end pulled away, i…
Precise asymptotics of longest cycles in random permutations without macroscopic cycles
Volker Betz, Julian Mühlbauer, Helge Schäfer +1
We consider Ewens random permutations of length conditioned to have no cycle longer than with and to study the asymptotic behaviour as . We obtain ver…