3 papers
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-ph2025
Small deviations of Gaussian multiplicative chaos and the free energy of the two-dimensional massless Sinh--Gordon model
Nikolay Barashkov, Joona Oikarinen, Mo Dick Wong
We prove a global decomposition result for -correlated Gaussian fields on the -dimensional torus and use this to derive new small deviations bounds for a class of Gaussian…
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…