80 citations · 154 across the 6 of their papers we have counts for
11 papers
Regularity of the speed of biased random walk in a one-dimensional percolation model
Nina Gantert, Matthias Meiners, Sebastian Mueller
We consider biased random walks on the infinite cluster of a conditional bond percolation model on the infinite ladder graph. Axelsson-Fisk and Häggström established for this model…
A microwave realization of the Gaussian symplectic ensemble
A. Rehemanjiang, M. Allgaier, C. H. Joyner +4
Following an idea by Joyner et al. [Europhys. Lett. 107, 50004 (2014)] a microwave graph with an antiunitary symmetry T obeying T^2=-1 is realized. The Kramers doublets expected fo…
Asymptotic entropy of random walks on Fuchsian buildings and Kac-Moody groups
Lorenz A. Gilch, Sebastian Müller, James Parkinson
In this article we prove existence of the asymptotic entropy for isotropic random walks on regular Fuchsian buildings. Moreover, we give formulae for the asymptotic entropy, and pr…
Infinite excursions of rotor walks on regular trees
Sebastian Mueller, Tal Orenshtein
A rotor configuration on a graph contains in every vertex an infinite ordered sequence of rotors, each is pointing to a neighbor of the vertex. After sampling a configuration accor…
Counting self-avoiding walks on free products of graphs
Lorenz A. Gilch, Sebastian Müller
The connective constant of a graph is the asymptotic growth rate of the number of self-avoiding walks of length in from a given vertex. We prove a formul…
Spectral statistics of chaotic many-body systems
Rémy Dubertrand, Sebastian Müller
We derive a trace formula that expresses the level density of chaotic many-body systems as a smooth term plus a sum over contributions associated to solutions of the nonlinear Schr…