20 citations · 20 across the 4 of their papers we have counts for
4 papers
On global solutions to the semidiscrete stochastic heat equation
Tobias Hurth, Konstantin Khanin, Beatriz Navarro Lameda
We consider the stochastic heat equation on the integer lattice in dimension and with small coupling constant. We show uniqueness of global solutions with…
A factorization formula for the partition function in the semi-discrete parabolic Anderson model
Tobias Hurth, Konstantin Khanin, Beatriz Navarro Lameda
We consider a continuous-time simple symmetric random walk on the integer lattice in dimension , subject to a random potential given by a field of two-side…
On a factorization formula for the partition function of directed polymers
Tobias Hurth, Konstantin Khanin, Beatriz Navarro Lameda +1
We prove a factorization formula for the point-to-point partition function associated with a model of directed polymers on the space-time lattice , subject to an…
Mixing rates of particle systems with energy exchange
Alexander Grigo, Konstantin Khanin, Domokos Szasz
A fundamental problem of non-equilibrium statistical mechanics is the derivation of macroscopic transport equations in the hydrodynamic limit. The rigorous study of such limits req…