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math.PR2026
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…
math.PR2026
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…
math.PR2021
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…