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math.PR2025
The Markov property for on the cylinder
Nikolay Barashkov, Trishen S. Gunaratnam
We prove that the model satisfies a version of Segal's axioms in the special case of three-dimensional tori and cylinders. As a consequence, we give the first proof that t…
math.PR2025
Invariant Gibbs measure for Anderson nonlinear wave equation
Nikolay Barashkov, Francesco C. De Vecchi, Immanuel Zachhuber
We study the Gaussian measure whose covariance is related to the Anderson Hamiltonian operator, proving that it admits a regular coupling to the (standard) Gaussian free field expl…