67 citations · 203 across the 21 of their papers we have counts for
24 papers
Off-diagonal long-range order for the free Bose gas via the Feynman--Kac formula
Wolfgang König, Quirin Vogel, Alexander Zass
We consider the path-integral representation of the ideal Bose gas under various boundary conditions. We show that Bose--Einstein condensation occurs at the famous critical density…
The throughput in multi-channel (slotted) ALOHA: large deviations and analysis of bad events
Wolfgang König, Charles Kwofie
We consider ALOHA and slotted ALOHA protocols as medium access rules for a multi-channel message delivery system. Users decide randomly and independently with a minimal amount of k…
A large-deviations principle for all the components in a sparse inhomogeneous random graph
Luisa Andreis, Wolfgang König, Heide Langhammer +1
We study an inhomogeneous sparse random graph on [N] = {1, . . . , N } as introduced in a seminal paper by Bollobas, Janson and Riordan (2007): vertices have a type (here in a comp…
Distribution of cracks in a chain of atoms at low temperature
Sabine Jansen, Wolfgang König, Bernd Schmidt +1
We consider a one-dimensional classical many-body system with interaction potential of Lennard-Jones type in the thermodynamic limit at low temperature . The grou…
Longtime asymptotics of the two-dimensional parabolic Anderson model with white-noise potential
Wolfgang König, Nicolas Perkowski, Willem van Zuijlen
We consider the parabolic Anderson model (PAM) in with a Gaussian (space) white-noise potential . We prove that the almost-sure la…
Surface energy and boundary layers for a chain of atoms at low temperature
Sabine Jansen, Wolfgang König, Bernd Schmidt +1
We analyze the surface energy and boundary layers for a chain of atoms at low temperature for an interaction potential of Lennard-Jones type. The pressure (stress) is assumed small…
Routeing properties in a Gibbsian model for highly dense multihop networks
Wolfgang König, András Tóbiás
We investigate a probabilistic model for routeing in a multihop ad-hoc communication network, where each user sends a message to the base station. Messages travel in hops via other…
A Gibbsian model for message routeing in highly dense multihop networks
Wolfgang König, András Tóbiás
We investigate a probabilistic model for routeing of messages in relay-augmented multihop ad-hoc networks, where each transmitter sends one message to the origin. Given the (random…
Mass concentration and aging in the parabolic Anderson model with doubly-exponential tails
Marek Biskup, Wolfgang Koenig, Renato Soares dos Santos
We study the solutions to the Cauchy problem on for the parabolic equation with initial data . He…
Mean-Field interacton of Brownian occupation measures. II: A rigorous construction of the Pekar process
Erwin Bolthausen, Wolfgang Koenig, Chiranjib Mukherjee
We consider mean-field interactions corresponding to Gibbs measures on interacting Brownian paths in three dimensions. The interaction is self-attractive and is given by a singular…
Eigenvalue fluctuations for lattice Anderson Hamiltonians
Marek Biskup, Ryoki Fukushima, Wolfgang Koenig
We study the statistics of Dirichlet eigenvalues of the random Schrödinger operator , with the discrete Laplacian on $\mathbb Z^d…
Eigenvalue order statistics for random Schrödinger operators with doubly-exponential tails
Marek Biskup, Wolfgang Koenig
We consider random Schrödinger operators of the form , where is the lattice Laplacian on and is an i.i.d. random field, and study the extreme order stati…
Moment asymptotics for multitype branching random walks in random environment
Onur Gün, Wolfgang König, Ozren Sekulović
We study a discrete time multitype branching random walk on a finite space with finite set of types. Particles follow a Markov chain on the spatial space whereas offspring distribu…
Large deviations for the local times of a random walk among random conductances in a growing box
Wolfgang König, Tilman Wolff
We derive an annealed large deviation principle (LDP) for the normalised and rescaled local times of a continuous-time random walk among random conductances (RWRC) in a time-depend…
Connection times in large ad-hoc mobile networks
Hanna Döring, Gabriel Faraud, Wolfgang König
We study connectivity properties in a probabilistic model for a large mobile ad-hoc network. We consider a large number of participants of the system moving randomly, independently…
Ideal mixture approximation of cluster size distributions at low density
S. Jansen, W. König
We consider an interacting particle system in continuous configuration space. The pair interaction has an attractive part. We show that, at low density, the system behaves approxim…
Large deviations for cluster size distributions in a continuous classical many-body system
Sabine Jansen, Wolfgang König, Bernd Metzger
An interesting problem in statistical physics is the condensation of classical particles in droplets or clusters when the pair-interaction is given by a stable Lennard-Jones-type p…
Large Deviations for Brownian Intersection Measures
Wolfgang Koenig, Chiranjib Mukherjee
We consider independent Brownian motions in . We assume that and . Let denote the intersection measure of the paths by time , i.e., th…
Brownian motion in a truncated Weyl chamber
Wolfgang König, Patrick Schmid
We examine the non-exit probability of a multidimensional Brownian motion from a growing truncated Weyl chamber. Different regimes are identified according to the growth speed, ran…
Self-intersection local times of random walks: Exponential moments in subcritical dimensions
Mathias Becker, Wolfgang König
Fix , not necessarily integer, with . We study the -fold self-intersection local time of a simple random walk on the lattice up to time . This is the $p…
A variational formula for the free energy of an interacting many-particle system
Stefan Adams, Andrea Collevecchio, Wolfgang König
We consider bosons in a box in with volume under the influence of a mutually repellent pair potential. The particle density is kept fixe…
The universality classes in the parabolic Anderson model
Remco van der Hofstad, Wolfgang Koenig, Peter Moerters
We discuss the long time behaviour of the parabolic Anderson model, the Cauchy problem for the heat equation with random potential on . We consider general i.i.d. potentials…
Deviations of a random walk in a random scenery with stretched exponential tails
Remco van der Hofstad, Nina Gantert, Wolfgang König
Let (Z_n)_{n\in\N_0} be a d-dimensional random walk in random scenery, i.e., Z_n=\sum_{k=0}^{n-1}Y_{S_k} with (S_k)_{k\in\N_0} a random walk in Z^d and (Y_z)_{z\in Z^d} an i.i.d. s…
An embedding for the Kesten-Spitzer random walk in random scenery
Endre Csáki, Wolfgang König, Zhan Shi
For one-dimensional simple random walk in a general i.i.d. scenery and its limiting process we construct a coupling with explicit rate of approximation extending a recent result fo…