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11 papers · 1 filter
Approximations of the Wiener sausage and its curvature measures
Jan Rataj, Evgeny Spodarev, Daniel Meschenmoser
A parallel neighborhood of a path of a Brownian motion is sometimes called the Wiener sausage. We consider almost sure approximations of this random set by a sequence of random pol…
Simulation of infinitely divisible random fields
Wolfgang Karcher, Hans-Peter Scheffler, Evgeny Spodarev
Two methods to approximate infinitely divisible random fields are presented. The methods are based on approximating the kernel function in the spectral representation of such field…
Loop Quantum Cosmology on a Torus
Raphael Lamon
In this paper we study the effect of a torus topology on Loop Quantum Cosmology. We first derive the Teichmueller space parametrizing all possible tori using Thurston's theorem and…
Tackling the Gross-Pitaevskii energy functional with the Sobolev gradient - Analytical and numerical results
P. Kazemi, M. Eckart
In the first part of this contribution we prove the global existence and uniqueness of a trajectory that globally converges to the minimizer of the Gross-Pitaevskii energy function…
Some 4-point Hurwitz numbers in positive characteristic
Irene I. Bouw, Brian Osserman
In this paper, we compute the number of covers of curves with given branch behavior in characteristic p for one class of examples with four branch points and degree p. Our techniqu…
Nonadiabatic transitions between adiabatic surfaces: phase diffusion in superconducting atomic point contacts
Hans Fritz, Joachim Ankerhold
Motivated by experiments with current biased superconducting atomic point contacts the general problem of nonadiabatic transitions between adiabatic surfaces in presence of strong…