7 citations · 9 across the 6 of their papers we have counts for
6 papers
A variational approach for the 2D Abelian Yang-Mills-Higgs measure
Nikolay Barashkov, Ajay Chandra, Ilya Chevyrev +2
We use the Boué-Dupuis variational method to construct the Abelian Yang-Mills-Higgs measure on the two-dimensional torus with polynomial Higgs potentials, giving, to our knowledge,…
Invariance of measure under nonlinear wave and Schrödinger equations on the plane
Nikolay Barashkov, Petri Laarne
We show almost sure wellposedness of mild solution to the cubic nonlinear wave equation in a weighted Besov space over . To achieve this, we show that any weak limit o…
Multiscale coupling and the maximum of models on the torus
Nikolay Barashkov, Trishen S. Gunaratnam, Michael Hofstetter
We establish a coupling between the measure and the Gaussian free field on the two-dimensional unit torus at all spatial scales, quantified by probabilistic regu…
A stochastic control approach to Sine Gordon EQFT
Nikolay Barashkov
We study the Sine-Gordon model for in infinite volume. We give a variatonal characterization of it's laplace transform, and deduce from this large deviations. Along th…
On the variational method for Euclidean quantum fields in infinite volume
Nikolay Barashkov, Massimiliano Gubinelli
We investigate the infinite volume limit of the variational description of Euclidean quantum fields introduced in a previous work. Focussing on two dimensional theories for simplic…
Elliptic stochastic quantization of Sinh-Gordon QFT
Nikolay Barashkov, Francesco C. De Vecchi
The (elliptic) stochastic quantization equation for the (massive) model, for the charged parameter in the regime (i.e. ), is studied. We prove the ex…