Publications
Research Papers:

Semicocycles and weighted
composition semigroups

Michigan Mathematical Journal 37, 469476 (1990)

The drift of a onedimensional
selfavoiding random walk

Probab. Theory Relat. Fields 96, 521543 (1993)

The drift of a onedimensional
selfrepellent random walk with bounded increments

Probab. Theory Relat. Fields 100, 513544 (1994)

A central limit theorem for
a onedimensional polymer measure

Ann. Probab. 24, 10121035 (1996)

Central limit theorem for
the Edwards model

Ann. Probab. 25:2, 573597 (1997)

joint work with R. van der Hofstad and F. den Hollander

Central limit theorem for
a weakly interacting random polymer

Markov Proc. Relat. Fields 3:1, 162 (1997)

joint work with R. van der Hofstad and F. den Hollander

An embedding for the KestenSpitzer
random walk in random scenery

Stoch. Proc. Appl. 82, 283292 (1999)

joint work with E. Csaki
and Z.
Shi

Moment asymptotics for the
continuous parabolic Anderson model

Almost sure asymptotics for
the continuous parabolic Anderson model

Screening effect due to heavy
lower tails in onedimensional parabolic Anderson model

A survey of onedimensional
random polymers

Longtime tails for the parabolic
Anderson model with bounded potential

Ann. Probab. 29:2, 636682 (2001)

joint work with M.
Biskup

Preprint,
ps, Preprint,
pdf.
 Note: The proof of Lemma 4.2 has a flaw, which is corrected in Section 5 of [25]: The universality classes in the parabolic Anderson model, see below.

Eigenvalues of the Laguerre
process as noncolliding squared Bessel processes

The critical attractive random
polymer in dimension one

Noncolliding random walks,
tandem queues, and discrete orthogonal polynomial ensembles

Brownian intersection local
times: upper tail asymptotics and thick points

Weakinteraction limits for
onedimensional random polymers

Large deviations for the onedimensional
Edwards model

The parabolic Anderson model

Orthogonal polynomial ensembles in probability theory

Brownian intersection local times:
Exponential moments and law of large masses

Deviations of a random walk in a random scenery with stretched exponential tails

Large systems of pathrepellent Brownian motions in a trap at positive temperature

The universality classes in the parabolic Anderson model

Large deviations for trapped interacting Brownian particles and paths

Annealed deviations for random walk in random scenery

Geometric characterization
of intermittency in the parabolic Anderson model

Joint density for the local times of continuoustime Markov chains

Moments and distribution of the local times of a transient random walk on Z^d

joint work with M. Becker
 Jour. Theor. Prob. 22:2, 365  374 (2009).

published online

Large deviations for many Brownian bridges with symmetrised initialterminal condition

joint work with S. Adams
 Probab. Theory Relat. Fields 142, 79124 (2008).
 published online

Ordered random walks

A two cities theorem for the parabolic Anderson model

Potential confinement property in the Parabolic Anderson Model

Phase transitions for dilute particle systems with LennardJones
potential

Random walks conditioned to stay
in Weyl chambers of type C and D

Upper tails of selfintersection local times
of random walks: survey of proof techniques

A variational formula for the free
energy of an interacting manyparticle system

Brownian motion in a truncated Weyl chamber

Large deviations for the local
times of a random walk among random conductances

The parabolic Anderson model with
acceleration and deceleration

Ideal mixture approximation of cluster size distributions at low density

Selfintersection local times of random walks:
Exponential moments in subcritical dimensions

Large deviations for Brownian
intersection measures

Moment asymptotics for branching random walks in random environment

Large deviations for cluster size
distributions in a continuous classical manybody system

Large deviations for the local
times of a random walk among random conductances in a growing box

Moment asymptotics for multitype branching random walks in random environment
 joint work with O. Gün and O. Sekulovic
 Journal of Theoretical Probability 28, 17261742 (2015).
 published version, pdf.

Eigenvalue order statistics for
random Schrödinger operators with doublyexponential tails

joint work with M. Biskup
 Communications in Mathematical Physics 341:1, p. 179218 (2016)

final version, pdf.

Connection times in large adhoc mobile networks

Eigenvalue fluctuations for
lattice Anderson Hamiltonians

Meanfield interaction of Brownian
occupation measures, I: uniform tube property of the Coulomb functional

Meanfield interaction of Brownian
occupation measures, II: Rigorous construction of the Pekar process

Mass concentration and aging in
the parabolic Anderson model with doublyexponential tails

joint work with Marek Biskup and Renato dos Santos

preprint, PTRF version.
 Probab. Theory Relat. Fields 171:12, 251331 (2018).
 DOI 10.1007/s004400170777x

Eigenvalue fluctuations for
lattice Anderson Hamiltonians: Unbounded potentials

A Gibbsian model for message
routeing in highly dense multihop networks

Routeing properties in a Gibbsian model for highly dense multihop networks
To appear:
Submitted:

A largedeviations approach to gelation

joint work with Luisa Andreis and Robert Patterson

preprint, pdf.

Surface energy and boundary
layers for a chain of atoms at low temperature

joint work with Sabine Jansen, Bernd Schmidt and Florian Theil

preprint, pdf.

The parabolic Anderson model on a GaltonWatson tree

joint work with Frank den Hollander and Renato dos Santos

preprint, pdf.
Books and Monographs:

Probability in Complex Physical Systems
In Honour of Erwin Bolthausen and Jürgen Gärtner
 With contributions by international experts
 edited by Deuschel, Gentz, König, von Renesse, Scheutzow and Schmock
 Springer (2012)
 publisher's page.

Mathematical Results in Quantum Mechanics
Proceedings of the QMath12 Conference (with DVDROM)
 edited by P. Exner, W. König and H. Neidhard
 World Scientific (2015)
 publisher's page.

Karl Weierstraß (1815  1897)  Aspekte seines Lebens und Werkes  Aspects of his Life and Work
zum 200sten Geburtstag
 With contributions by international mathematics historians
 edited by W. König and J. Sprekels
 Springer (2016)
 publisher's page.

The parabolic Anderson
model. Random walk in random potential

Mathematics and Society

Probability and Analysis in Interacting Physical Systems
 In Honor of S.R.S. Varadhan, Berlin, August, 2016
 coedited by W. König (with P. Friz, C. Mukherjee, S. Olla)
 Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 283)
 publisher's page
 Foreword and Table of Contents

Probabilistic Methods in Telecommunications
Unpublished:

Complete localisation in the parabolic
Anderson model with Paretodistributed potential

The longest excursion of a random interacting polymer