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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 - MaRDI portal

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 (Q6145284)

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scientific article; zbMATH DE number 7785431

Language	Label	Description	Also known as
English	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	scientific article; zbMATH DE number 7785431

Statements

scholarly article

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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 (English)

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Sergio A. Albeverio

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Toshinao Kagawa

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Shu-Ji Kawasaki

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Minoru W. Yoshida

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Potential Analysis

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publication date

9 January 2024

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full work available at URL

https://arxiv.org/abs/2105.05593

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zbMATH Keywords

Dirichlet forms on infinite-dimensional spaces

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probability measure spaces

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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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A class of Lévy driven SDEs and their explicit invariant measures

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On the essential self-adjointness of Wick powers of relativistic fields and of fields unitary equivalent to random fields

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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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Oscillatory integrals and the method of stationary phase in infinitely many dimensions, with applications to the classical limit of quantum mechanics. I

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Dirichlet forms and diffusion processes on rigged Hilbert spaces

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

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Uniqueness and global Markov property for Euclidean fields: The case of general polynomial interactions

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

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

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Analysis and geometry on configuration spaces: the Gibbsian case

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

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REMARK ON THE INTEGRATION BY PARTS FORMULA FOR THE $\phi_3^4$-QUANTUM FIELD MODEL

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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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Infinite-dimensional stochastic differential equations obtained by subordination and related Dirichlet forms.

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\(H\)-\(C^1\) maps and elliptic SPDEs with polynomial and exponential perturbations of Nelson's Euclidean free field

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Séminaire sur les fonctions aléatoires linéaires et les mesures cylindriques

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A variational method for \(\Phi^4_3\)

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Paracontrolled distributions and the 3-dimensional stochastic quantization equation

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Gibbs states of continuum particle systems with unbounded spins: Existence and uniqueness

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Strong solutions to the stochastic quantization equations.

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Jump-type Hunt processes generated by lower bounded semi-Dirichlet forms

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

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A PDE construction of the Euclidean \(\Phi^4_3\) quantum field theory

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A theory of regularity structures

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The strong Feller property for singular stochastic PDEs

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Stochastic quantization associated with the \(\exp (\boldsymbol{\Phi})_2\)-quantum field model driven by space-time white noise on the torus in the full \(L^1\)-regime

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Unendlich-dimensionale Wienerprozesse mit Wechselwirkung

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

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On the conservativeness and the recurrence of symmetric jump-diffusions

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The dynamic \({\Phi^4_3}\) model comes down from infinity

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The free Markoff field

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Dirichlet form approach to infinite-dimensional Wiener processes with singular interactions

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Interacting Brownian motions in infinite dimensions with logarithmic interaction potentials

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A Markov property for Gaussian processes with a multidimensional parameter

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Superstable interactions in classical statistical mechanics

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Uniqueness of Dirichlet forms associated with systems of infinitely many Brownian balls in \({\mathbb R}^ d\)

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Construction of infinite dimensional interacting diffusion processes through Dirichlet forms

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Lattice approximation to the dynamical \(\Phi_{3}^{4}\) model

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Dirichlet form associated with the \(\Phi_3^4\) model

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Identifiers

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.1007/S11118-022-10018-9

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Sitelinks

Mathematics(1 entry)

mardi Publication:6145284

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