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5 papers · 2 filters
A Distributed Procedure for Computing Stochastic Expansions with Mathematica
Christophe Ladroue, Anastasia Papavasiliou
The solution of a (stochastic) differential equation can be locally approximated by a (stochastic) expansion. If the vector field of the differential equation is a polynomial, the…
A chain of interacting particles under strain
Michael Allman, Volker Betz, Martin Hairer
We investigate the behaviour of a chain of interacting Brownian particles with one end fixed and the other moving away at slow speed, in the limit of small noise. The interaction b…
Spectral asymptotics for stable trees
David Croydon, Ben Hambly
We calculate the mean and almost-sure leading order behaviour of the high frequency asymptotics of the eigenvalue counting function associated with the natural Dirichlet form on $α…
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…
Singular perturbations to semilinear stochastic heat equations
Martin Hairer
We consider a class of singular perturbations to the stochastic heat equation or semilinear variations thereof. The interesting feature of these perturbations is that, as the small…