Results 1 to 10 of about 12,491,684 (224)
Regular subspaces of Dirichlet forms [PDF]
Interdisciplinary Mathematical Sciences, 2015 The regular subspaces of a Dirichlet form are the regular Dirichlet forms that inherit the original form but possess smaller domains. The two problems we are concerned are: (1) the existence of regular subspaces of a fixed Dirichlet form, (2) the ...
Jiangang Ying
exaly +4 more sources
Vector analysis for Dirichlet forms and quasilinear PDE and SPDE on metric measure spaces [PDF]
Stochastic Processes and Their Applications, 2013 Starting with a regular symmetric Dirichlet form on a locally compact separable metric space $X$, our paper studies elements of vector analysis, $L_p$-spaces of vector fields and related Sobolev spaces.
Michael Hinz +2 more
exaly +3 more sources
Recurrence Criteria for Generalized Dirichlet Forms [PDF]
, 2017 We develop sufficient analytic conditions for recurrence and transience of non-sectorial perturbations of possibly non-symmetric Dirichlet forms on a general state space.
Minjung Gim, Gérald Trutnau
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Equivalent Semi-Norms of Non-Local Dirichlet Forms on the Sierpiński Gasket and Applications [PDF]
, 2017 We construct equivalent semi-norms of non-local Dirichlet forms on the Sierpiński gasket and apply these semi-norms to a convergence problem and a trace problem.
Meng Yang
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Quasi regular Dirichlet forms and the stochastic quantization problem [PDF]
, 2014 After recalling basic features of the theory of symmetric quasi regular Dirichlet forms we show how by applying it to the stochastic quantization equation, with Gaussian space-time noise, one obtains weak solutions in a large invariant set. Subsequently,
Albeverio, Sergio +2 more
core +2 more sources
Cores of Dirichlet forms related to random matrix theory [PDF]
, 2014 We prove the sets of polynomials on configuration spaces are cores of Dirichlet forms describing interacting Brownian motion in infinite dimensions. Typical examples of these stochastic dynamics are Dyson's Brownian motion and Airy interacting Brownian ...
Osada, Hirofumi, Tanemura, Hideki
core +3 more sources
Stein's method, Malliavin calculus, Dirichlet forms and the fourth moment theorem [PDF]
, 2014 The fourth moment theorem provides error bounds in the central limit the- orem for elements of Wiener chaos of any order. It was proved by Nourdin and Pec- cati (31) using Stein's method and the Malliavin calculus. It was also proved by Azmoodeh, Campese
Louis H. Y. Chen, Guillaume Poly
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Deviation bounds and concentration inequalities for quantum noises [PDF]
Quantum, 2022 We provide a stochastic interpretation of non-commutative Dirichlet forms in the context of quantum filtering. For stochastic processes motivated by quantum optics experiments, we derive an optimal finite time deviation bound expressed in terms of the ...
Tristan Benoist +2 more
doaj +1 more source
Ergodic Decomposition of Dirichlet Forms via Direct Integrals and Applications [PDF]
Potential Analysis, 2020 We study direct integrals of quadratic and Dirichlet forms. We show that each quasi-regular Dirichlet space over a probability space admits a unique representation as a direct integral of irreducible Dirichlet spaces, quasi-regular for the same ...
Lorenzo Dello Schiavo
semanticscholar +1 more source
Approximation of Space-Time Fractional Equations
Fractal and Fractional, 2021 The aim of this paper is to provide approximation results for space-time non-local equations with general non-local (and fractional) operators in space and time.
Raffaela Capitanelli, Mirko D’Ovidio
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