Zobrazeno 1 - 10
of 62
pro vyhledávání: '"81S20"'
Autor:
Sritharan, Sivaguru S., Mudaliar, Saba
In this paper we study a large class of nonlinear stochastic wave equations that arise in laser generation models and models for propagation in random media in a unified mathematical framework. Continuous and pulse-wave propagation models, free elect
Externí odkaz:
http://arxiv.org/abs/2411.16013
Autor:
Barashkov, Nikolay, Laarne, Petri
We study the expected transition frequency between the two metastable states of a stochastic wave equation with double-well potential. By transition state theory, the frequency factorizes into two components: one depends only on the invariant measure
Externí odkaz:
http://arxiv.org/abs/2410.03495
Autor:
Klose, Tom, Mayorcas, Avi
The $\Phi^4_3$ measure is one of the easiest non-trivial examples of a Euclidean quantum field theory (EQFT) whose rigorous construction in the 1970's has been one of the celebrated achievements of constructive quantum field theory. In recent years,
Externí odkaz:
http://arxiv.org/abs/2402.00975
We develop a stochastic analysis of the sine-Gordon Euclidean quantum field $(\cos (\beta \varphi))_2$ on the full space up to the second threshold, i.e. for $\beta^2 < 6 \pi$. The basis of our method is a forward-backward stochastic differential equ
Externí odkaz:
http://arxiv.org/abs/2401.13648
We prove that there exists a diffusion process whose invariant measure is the three dimensional polymer measure $\nu_\lambda$ for small $\lambda>0$. We follow in part a previous incomplete unpublished work of the first named author with M. R\"ockner
Externí odkaz:
http://arxiv.org/abs/2311.05797
A concise explanations on the results given by Non-local Markovian Symmetric Forms on Infinite Dimensional Spaces I, CMP 2021, by Sergio Albeverio, Minoru W. Yoshida, et.al., and Non-local Markovian Symmetric Forms on Infinite Dimensional Spaces Part
Externí odkaz:
http://arxiv.org/abs/2310.00223
Autor:
Lakshmanan, Rajmadan, Pichler, Alois
The quantization problem aims to find the best possible approximation of probability measures on ${\mathbb{R}}^d$ using finite, discrete measures. The Wasserstein distance is a typical choice to measure the quality of the approximation. This contribu
Externí odkaz:
http://arxiv.org/abs/2309.04428
Autor:
Adachi, Reo
The dynamical $\Phi^4_3$ equation is a singular SPDE and has important applications in physics. In this paper, we consider the equation by approximating the Laplacian instead of the noise or the cubic term as in previous studies. By using a good tran
Externí odkaz:
http://arxiv.org/abs/2303.17772
Autor:
Sritharan, Sivaguru S., Mudaliar, Saba
This paper identifies certain interesting mathematical problems of stochastic quantization type in the modeling of Laser propagation through turbulent media. In some of the typical physical contexts the problem reduces to stochastic Schrodinger equat
Externí odkaz:
http://arxiv.org/abs/2301.00300
We give a novel characterization of the Euclidean quantum field theory with exponential interaction $\nu$ on $\mathbb{R}^2$ through a renormalized integration by parts (IbP) formula, or otherwise said via an Euclidean Dyson-Schwinger equation for exp
Externí odkaz:
http://arxiv.org/abs/2212.05584