15 citations · 21 across the 7 of their papers we have counts for
9 papers
The free energy of the interacting Bose gas: a variational description with loops and interlacements
Wolfgang König
We consider the interacting Bose gas in the thermodynamic limit in a large box in at positive temperature with particle density . We f…
Proof of off-diagonal long-range order in a mean-field trapped Bose gas via the Feynman--Kac formula
Tianyi Bai, Wolfgang König, Quirin Vogel
We consider the non-interacting Bose gas of bosons in dimension in a trap in a mean-field setting with a vanishing factor in front of the kinetic energy. The ch…
Spatial particle processes with coagulation: Gibbs-measure approach, gelation and Smoluchowski equation
Luisa Andreis, Wolfgang König, Heide Langhammer +1
We study a spatial Markovian particle system with pairwise coagulation, a spatial version of the Marcus--Lushnikov process: according to a coagulation kernel , particle pairs me…
Weakly self-avoiding walk in a pareto-distributed random potential
Wolfgang König, Nicolas Pétrélis, Renato Soares dos Santos +1
We investigate a model of continuous-time simple random walk paths in undergoing two competing interactions: an attractive one towards the large values of a random p…
Multi-channel ALOHA and CSMA medium-access protocols: Markovian description and large deviations
Wolfgang König, Helia Shafigh
We consider a multi-channel communication system under ALOHA and CSMA protocols, resepctively, in continuous time. We derive probabilistic formulas for the most important quantitie…
The free energy of a box-version of the interacting Bose gas
Orphée Collin, Benedikt Jahnel, Wolfgang König
The interacting quantum Bose gas is a random ensemble of many Brownian bridges (cycles) of various lengths with interactions between any pair of legs of the cycles. It is one of th…
Branching random walks in random environment: a survey
Wolfgang König
We consider branching particle processes on discrete structures like the hypercube in a random fitness landscape (i.e., random branching/killing rates). The main question is about…
The parabolic Anderson model on a Galton-Watson tree
Frank den Hollander, Wolfgang König, Renato S. dos Santos
We study the long-time asymptotics of the total mass of the solution to the parabolic Anderson model (PAM) on a supercritical Galton-Watson random tree with bounded degrees. We ide…
A large-deviations principle for all the cluster sizes of a sparse Erdős-Rényi graph
Luisa Andreis, Wolfgang König, Robert I. A. Patterson
Let be the Erdős-Rényi graph with connection probability as for a fixed . We derive a large-deviatio…