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Strong uniqueness for Dirichlet operators related to stochastic quantization under exponential/trigonometric interactions on the two-dimensional torus - MaRDI portal

Strong uniqueness for Dirichlet operators related to stochastic quantization under exponential/trigonometric interactions on the two-dimensional torus (Q6098864)

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Please use this page instead for the normal view: Strong uniqueness for Dirichlet operators related to stochastic quantization under exponential/trigonometric interactions on the two-dimensional torus

scientific article; zbMATH DE number 7697293

Language	Label	Description	Also known as
English	Strong uniqueness for Dirichlet operators related to stochastic quantization under exponential/trigonometric interactions on the two-dimensional torus	scientific article; zbMATH DE number 7697293

Statements

scholarly article

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Strong uniqueness for Dirichlet operators related to stochastic quantization under exponential/trigonometric interactions on the two-dimensional torus (English)

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Sergio A. Albeverio

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Stefan Mihalache

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Michael Roeckner

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ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE

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publication date

19 June 2023

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full work available at URL

https://arxiv.org/abs/2004.12383

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MaRDI profile type

MaRDI publication profile

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Along Paths Inspired by Ludwig Streit: Stochastic Equations for Quantum Fields and Related Systems

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Elliptic stochastic quantization

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The elliptic stochastic quantization of some two dimensional Euclidean QFTs

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Equivalence of the Brownian and energy representations

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SPDE in hydrodynamic: Recent progress and prospects. Lectures given at the C.I.M.E. summer school, Cetraro, Italy, August 29--September 3, 2005

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Some results for the exponential interaction in two or more dimensions

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DIRICHLET FORMS IN TERMS OF WHITE NOISE ANALYSIS I: CONSTRUCTION AND QFT EXAMPLES

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DIRICHLET FORMS IN TERMS OF WHITE NOISE ANALYSIS II: CLOSABILITY AND DIFFUSION PROCESSES

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The Wightman axioms and the mass gap for strong interactions of exponential type in two-dimensional space-time

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Uniqueness and the global Markov property for Euclidean fields. The case of trigonometric interactions

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Irreducibility and reducibility for the energy representation of the group of mappings of a Riemannian manifold into a compact semisimple Lie group

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Non-local Markovian symmetric forms on infinite dimensional spaces. I: The closability and quasi-regularity

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Non-local Markovian symmetric forms on infinite dimensional spaces. II: Applications: non local stochastic quantization of space cut-off quantum fields and infinite particle systems

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Strong uniqueness for both Dirichlet operators and stochastic dynamics to Gibbs measures on a path space with exponential interactions

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The statistical mechanics of quantum lattice systems. A path integral approach.

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Ergodicity for the stochastic dynamics of quasi-invariant measures with applications to Gibbs states

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The invariant measure and the flow associated to the $\Phi^4_3$-quantum field model

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Quasi-regular Dirichlet forms and Markov processes

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Quasi regular Dirichlet forms and the stochastic quantization problem

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Classical Dirichlet forms on topological vector spaces - the construction of the associated diffusion process

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Classical Dirichlet forms on topological vector spaces --- closability and a Cameron-Martin formula

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Stochastic differential equations in infinite dimensions: Solutions via Dirichlet forms

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Continuity and estimates of the Liouville heat kernel with applications to spectral dimensions

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Theory of Bessel potentials. I

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On the massive sine-Gordon equation in the first few regions of collapse

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An elementary approach to Gaussian multiplicative chaos

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Stochastic quantization of field theory in finite and infinite volume

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Paracontrolled distributions and the 3-dimensional stochastic quantization equation

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Strong solutions to the stochastic quantization equations.

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Selfadjointness of some infinite-dimensional elliptic operators and application to stochastic quantization

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Quantum Mechanics and Quantum Field Theory

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Stochastic Ricci Flow on Compact Surfaces

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Liouville quantum gravity and KPZ

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Uniqueness and non-uniqueness of semigroups generated by singular diffusion operators

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Classical and quantum statistical mechanics in one and two dimensions: two-component Yukawa- and Coulomb systems.

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Dirichlet forms and symmetric Markov processes

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Dynamical Liouville

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A triviality result in the AdS/CFT correspondence for Euclidean quantum fields with exponential interaction

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Global solutions to elliptic and parabolic \({\Phi^4}\) models in Euclidean space

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PARACONTROLLED DISTRIBUTIONS AND SINGULAR PDES

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The \(P(\phi)_2\) Euclidean quantum field theory as classical statistical mechanics. II.

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A theory of regularity structures

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The dynamical sine-Gordon model

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Stochastic quantization associated with the \(\exp(\Phi)_2\)-quantum field model driven by space-time white noise on the torus

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Exponential integrability and application to stochastic quantization

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On the stochastic quantization of field theory

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Essential self-adjointness of Dirichlet operators on a path space with Gibbs measures via an SPDE approach

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Introduction to the theory of (non-symmetric) Dirichlet forms

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Global well-posedness of the dynamic \(\Phi^{4}\) model in the plane

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On the parabolic and hyperbolic Liouville equations

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Gaussian multiplicative chaos and applications: a review

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Uniqueness of generalized Schrödinger operators and applications

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Restricted Markov uniqueness for the stochastic quantization of \(P(\Phi)_{2}\) and its applications

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Ergodicity for the stochastic quantization problems on the 2D-torus

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Summability of Multi-Dimensional Trigonometric Fourier Series

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Uniqueness of Nelson's diffusions. II: Infinite dimensional setting and applications

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Identifiers

zbMATH Open document ID

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10.2422/2036-2145.202105_106

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:6098864

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