Prof. Dr. Wolfgang König 

WIAS Berlin Technische UNIVERSITÄT Berlin

Publications

Research Papers

to appear

submitted

Books


Research Papers:

  1. Semicocycles and weighted composition semigroups

  2. The drift of a one-dimensional self-avoiding random walk

  3. The drift of a one-dimensional self-repellent random walk with bounded increments

  4. A central limit theorem for a one-dimensional polymer measure

  5. Central limit theorem for the Edwards model

  6. Central limit theorem for a weakly interacting random polymer

  7. An embedding for the Kesten-Spitzer random walk in random scenery

  8. Moment asymptotics for the continuous parabolic Anderson model

  9. Almost sure asymptotics for the continuous parabolic Anderson model

  10. Screening effect due to heavy lower tails in one-dimensional parabolic Anderson model

  11. A survey of one-dimensional random polymers

  12. Long-time tails for the parabolic Anderson model with bounded potential

  13. Eigenvalues of the Laguerre process as non-colliding squared Bessel processes

  14. The critical attractive random polymer in dimension one

  15. Non-colliding random walks, tandem queues, and discrete orthogonal polynomial ensembles

  16. Brownian intersection local times: upper tail asymptotics and thick points

  17. Weak-interaction limits for one-dimensional random polymers

  18. Large deviations for the one-dimensional Edwards model

  19. The parabolic Anderson model

  20. Orthogonal polynomial ensembles in probability theory

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

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

  23. Large systems of path-repellent Brownian motions in a trap at positive temperature

  24. The universality classes in the parabolic Anderson model

  25. Large deviations for trapped interacting Brownian particles and paths

  26. Annealed deviations for random walk in random scenery

  27. Geometric characterization of intermittency in the parabolic Anderson model

  28. Joint density for the local times of continuous-time Markov chains

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

  30. Large deviations for many Brownian bridges with symmetrised initial-terminal condition

  31. Ordered random walks

  32. A two cities theorem for the parabolic Anderson model

  33. Potential confinement property in the Parabolic Anderson Model

  34. Phase transitions for dilute particle systems with Lennard-Jones potential

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

  36. Upper tails of self-intersection local times of random walks: survey of proof techniques

  37. A variational formula for the free energy of an interacting many-particle system

  38. Brownian motion in a truncated Weyl chamber

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

  40. The parabolic Anderson model with acceleration and deceleration

  41. Ideal mixture approximation of cluster size distributions at low density

  42. Self-intersection local times of random walks: Exponential moments in subcritical dimensions

  43. Large deviations for Brownian intersection measures

  44. Moment asymptotics for branching random walks in random environment

  45. Large deviations for cluster size distributions in a continuous classical many-body system

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

  47. Moment asymptotics for multitype branching random walks in random environment

  48. Eigenvalue order statistics for random Schrödinger operators with doubly-exponential tails

  49. Connection times in large ad-hoc mobile networks

  50. Eigenvalue fluctuations for lattice Anderson Hamiltonians

  51. Mean-field interaction of Brownian occupation measures, I: uniform tube property of the Coulomb functional

  52. Mean-field interaction of Brownian occupation measures, II: Rigorous construction of the Pekar process

  53. Mass concentration and aging in the parabolic Anderson model with doubly-exponential tails

  54. Eigenvalue fluctuations for lattice Anderson Hamiltonians: Unbounded potentials

  55. A Gibbsian model for message routeing in highly dense multihop networks

  56. Routeing properties in a Gibbsian model for highly dense multihop networks

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

  58. Distribution of cracks in a chain of atoms at low temperature

  59. The parabolic Anderson model on a Galton-Watson tree

  60. A large-deviations principle for all the cluster sizes of a sparse Erdős-Rényi graph

  61. Branching random walks in random environment: A survey

  62. Longtime asymptotics of the two-dimensional parabolic Anderson model with white-noise potential

  63. A large-deviations principle for all the components in a sparse inhomogeneous random graph

  64. A micro-macro variational formula for the free energy of a many-body system with unbounded marks

  65. Proof of off-diagonal long-range order in a mean-field trapped Bose gas via the Feynman--Kac formula

To appear:

  1. Weakly self-avoiding random walk in a Pareto-distributed random potential

  2. Spatial particle processes with coagulation: Gibbs-measure approach, gelation, and Smoluchowski equation

  3. Off-diagonal long-range order for the free Bose gas via the Feynman--Kac formula


Submitted:

  1. Multi-channel ALOHA and CSMA medium-access protocols: Markovian description and large deviations

  2. The throughput in multi-channel (slotted) ALOHA: large deviations and analysis of bad events

  3. Self-repellent Brownian bridges in an interacting Bose gas

Books and Monographs:

  1. Probability in Complex Physical Systems

  2. Mathematical Results in Quantum Mechanics

  3. Karl Weierstraß (1815 -- 1897) -- Aspekte seines Lebens und Werkes - Aspects of his Life and Work

  4. The parabolic Anderson model. Random walk in random potential

  5. Mathematics and Society

  6. Probability and Analysis in Interacting Physical Systems

  7. Probabilistic Methods in Telecommunications

  8. Große Abweichungen. Techniken und Anwendungen

Unpublished:

  1. Complete localisation in the parabolic Anderson model with Pareto-distributed potential

  2. The longest excursion of a random interacting polymer