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Exact solutions for KPZ-type growth processes, random matrices, and equilibrium shapes of crystals
Herbert Spohn
Three models from statistical physics can be analyzed by employing space-time determinantal processes: (1) crystal facets, in particular the statistical properties of the facet edg…
Energy-momentum relation for solitary waves of relativistic wave equations
T. V. Dudnikova, A. I. Komech, H. Spohn
Solitary waves of relativistic invariant nonlinear wave equation with symmetry group U(1) are considered. We prove that the energy-momentum relation for spherically symmetric solit…
On a Two-Temperature Problem for Wave Equation
T. V. Dudnikova, A. I. Komech, H. Spohn
Consider the wave equation with constant or variable coefficients in . The initial datum is a random function with a finite mean density of energy that also satisfies a Rosen…
A Remark on the Strict Positivity of the Entropy Production
Walter H. Aschbacher, Herbert Spohn
We establish an algebraic criterion which ensures the strict positivity of the entropy production in quantum models consisting of a small system coupled to thermal reservoirs at di…
Polymer pinning in a random medium as influence percolation
Vincent Beffara, Vladas Sidoravicius, Herbert Spohn +1
In this article we discuss a set of geometric ideas which shed some light on the question of directed polymer pinning in the presence of bulk disorder. Differing from standard meth…
A determinantal formula for the GOE Tracy-Widom distribution
Patrik L. Ferrari, Herbert Spohn
Investigating the long time asymptotics of the totally asymmetric simple exclusion process, Sasamoto obtains rather indirectly a formula for the GOE Tracy-Widom distribution. We es…