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math-ph2021★ 3 cited
A Poisson Algebra on the Hida Test Functions and a Quantization using the Cuntz Algebra
Wolfgang Bock, Vyacheslav Futorny, Mikhail Neklyudov
In this note we define one more way of quantization of classical systems. The quantization we consider is an analogue of classical Jordan-Schwinger (J.-S.) map which has been known…
math-ph2014
Hashimoto transform for stochastic Landau-Lifshitz-Gilbert equation
Misha Neklyudov
We show that Hashimoto transformation is applicable to the one dimensional stochastic Landau-Lifshitz-Gilbert (LLG) equation and transforms it to the stochastic generalized heat eq…
math-ph2012
Multidimensional stochastic Burgers equation
Zdzisław Brzeźniak, Ben Goldys, Misha Neklyudov
We consider multidimensional stochastic Burgers equation on the torus and the whole space $\Rd$. In both cases we show that for positive viscosity there exists…