Introduction to the theory of (non-symmetric) Dirichlet forms
From MaRDI portal
Publication:1202187
zbMath0826.31001MaRDI QIDQ1202187
Publication date: 23 January 1993
Published in: Universitext (Search for Journal in Brave)
quasi-continuitynon-symmetric Dirichlet formsMarkov processexceptional setspotential theory of Dirichlet formsquasi-regular forms
Dirichlet forms (31C25) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to potential theory (31-01) Probabilistic potential theory (60J45)
Related Items (only showing first 100 items - show all)
Optimal stopping of a Hilbert space valued diffusion: an infinite dimensional variational inequality ⋮ Asymptotics of sample entropy production rate for stochastic differential equations ⋮ Existence and stability for Fokker-Planck equations with log-concave reference measure ⋮ A class of Lévy driven SDEs and their explicit invariant measures ⋮ On representations of non-symmetric Dirichlet forms ⋮ Local operators and forms ⋮ A Hille--Yosida type theorem in ordered convex cones ⋮ Extensions of Lévy-Khintchine formula and Beurling-Deny formula in semi-Dirichlet forms setting ⋮ Quasi-regular Dirichlet forms and \(L^p\)-resolvents on measurable spaces ⋮ On the Feynman-Kac semigroup for some Markov processes ⋮ Large deviations for stochastic generalized porous media equations ⋮ Weak convergence of censored and reflected stable processes ⋮ Second order parabolic Hamilton-Jacobi-Bellman equations in Hilbert spaces and stochastic control: \(L^{2}_{\mu}\) approach ⋮ Scaling limit of fluctuations for the equilibrium Glauber dynamics in continuum ⋮ When and how an error yields a Dirichlet form ⋮ Infinite dimensional weak Dirichlet processes and convolution type processes ⋮ Semilinear elliptic equations with Dirichlet operator and singular nonlinearities ⋮ \(N/V\)-limit for stochastic dynamics in continuous particle systems ⋮ Estimates on the transition densities of Girsanov transforms of symmetric stable processes ⋮ Applications of compact superharmonic functions: path regularity and tightness of capacities ⋮ Self-improvement of the Bakry-Émery condition and Wasserstein contraction of the heat flow in \(\text{RCD}(K, \infty)\) metric measure spaces ⋮ BV functions in a Gelfand triple and the stochastic reflection problem on a convex set of a Hilbert space ⋮ Kusuoka-Stroock formula on configuration space and regularities of local times with jumps ⋮ Strong Feller properties for distorted Brownian motion with reflecting boundary condition and an application to continuous \(N\)-particle systems with singular interactions ⋮ Probabilistic representations of solutions of elliptic boundary value problem and non-symmetric semigroups ⋮ Renormalized solutions of semilinear equations involving measure data and operator corresponding to Dirichlet form ⋮ Mixed boundary value problems of semilinear elliptic PDEs and BSDEs with singular coefficients ⋮ A Doob h-transform of the Gross-Pitaevskii Hamiltonian ⋮ Ornstein-Uhlenbeck equations with time-dependent coefficients and Lévy noise in finite and infinite dimensions ⋮ A hypocoercivity related ergodicity method for singularly distorted non-symmetric diffusions ⋮ Uniqueness of diffusion on domains with rough boundaries ⋮ Strong Markov property of determinantal processes with extended kernels ⋮ Degenerate elliptic operators in one dimension ⋮ The sector constants of continuous state branching processes with immigration ⋮ Strong uniqueness for stochastic evolution equations with unbounded measurable drift term ⋮ On the quasi-regularity of non-sectorial Dirichlet forms by processes having the same polar sets ⋮ Partial Gaussian bounds for degenerate differential operators ⋮ Eigenvalue distributions of some non-isotropic degenerate elliptic operators ⋮ Dirichlet spaces on \(H\)-convex sets in Wiener space ⋮ On stochastic calculus related to financial assets without semimartingales ⋮ Fokker-Planck equation with respect to heat measures on loop groups ⋮ From resolvents to càdlàg processes through compact excessive functions and applications to singular SDE on Hilbert spaces ⋮ Essential self-adjointness, generalized eigenforms, and spectra for the \(\bar {\partial}\)-Neumann problem on G-manifolds ⋮ Potential theory of infinite dimensional Lévy processes ⋮ A skew stochastic heat equation ⋮ Strong uniqueness for both Dirichlet operators and stochastic dynamics to Gibbs measures on a path space with exponential interactions ⋮ Entropy and approximation numbers of limiting embeddings; an approach via Hardy inequalities and quadratic forms ⋮ Poincaré and weak Poincaré inequalities for the mixed Poisson measure ⋮ A free stochastic partial differential equation ⋮ Bakry-Émery curvature-dimension condition and Riemannian Ricci curvature bounds ⋮ Finite time extinction of solutions to fast diffusion equations driven by linear multiplicative noise ⋮ Diffusion approximation for equilibrium Kawasaki dynamics in continuum ⋮ Infinite-dimensional stochastic differential equations related to Bessel random point fields ⋮ On Dirichlet forms and semi-Dirichlet forms. Remarks on the book ``Semi-Dirichlet forms and Markov processes by Yoichi Oshima ⋮ Mosco type convergence of bilinear forms and weak convergence of \(n\)-particle systems ⋮ Laplace operators on the cone of Radon measures ⋮ The Dirichlet form of a gradient-type drift transformation of a symmetric diffusion ⋮ Analysis of degenerate elliptic operators of Grušin type ⋮ Dimension-free Harnack inequalities on \(\mathrm{RCD}(K, \infty )\) spaces ⋮ Reduced measures for semilinear elliptic equations involving Dirichlet operators ⋮ Closability, regularity, and approximation by graphs for separable bilinear forms ⋮ Ergodicity of \(L^ 2\)-semigroups and extremality of Gibbs states ⋮ Large deviations for occupation times of Markov processes with \(L_{2}\) semigroups ⋮ Strongly continuous dual semigroups ⋮ On extensions of local Dirichlet forms ⋮ General analytic characterization of gaugeability for Feynman-Kac functionals ⋮ The Ornstein-Uhlenbeck bridge and applications to Markov semigroups ⋮ Lower estimates of heat kernels for non-local Dirichlet forms on metric measure spaces ⋮ Flux and lateral conditions for symmetric Markov processes ⋮ An example of a non-local, non-symmetric Dirichlet form ⋮ Closed ideals in Dirichlet spaces ⋮ Non-monotone stochastic generalized porous media equations ⋮ Ergodicity for the stochastic quantization problems on the 2D-torus ⋮ Stochastic incompleteness for graphs and weak Omori-Yau maximum principle ⋮ Uniqueness properties of degenerate elliptic operators ⋮ Asymptotic and spectral properties of exponentially \(\phi\)-ergodic Markov processes ⋮ A note about proving non-\(\Gamma \) under a finite non-microstates free Fisher information assumption ⋮ Functional inequalities and an application for parabolic stochastic partial differential equations containing rotation ⋮ Some diffusion processes associated with two parameter Poisson-Dirichlet distribution and Dirichlet process ⋮ Infinite-dimensional stochastic differential equations related to random matrices ⋮ On the generalized Feynman-Kac transformation for nearly symmetric Markov processes ⋮ Evolution problems in spaces of probability measures ⋮ On notions of harmonicity for non-symmetric Dirichlet form ⋮ Locality and domination of semigroups ⋮ Non-symmetric distorted Brownian motion: strong solutions, strong Feller property and non-explosion results ⋮ Asymptotics for Venttsel' problems for operators in non divergence form in irregular domains ⋮ Mild solutions of semilinear elliptic equations in Hilbert spaces ⋮ Conservativeness criteria for generalized Dirichlet forms ⋮ On homogenization of space-time dependent and degenerate random flows. II ⋮ On unique extension of time changed reflecting Brownian motions ⋮ On general perturbations of symmetric Markov processes ⋮ Stochastic Cahn-Hilliard equation with singular nonlinearity and reflection ⋮ Sup-norm-closable bilinear forms and Lagrangians ⋮ The limitations of the Poincaré inequality for Grušin type operators ⋮ Parabolic Harnack inequality for time-dependent non-symmetric Dirichlet forms ⋮ Infinite-dimensional stochastic differential equations and tail \(\sigma\)-fields ⋮ A generalized conservation property for the heat semigroup on weighted manifolds ⋮ On the Bakry-Émery condition, the gradient estimates and the local-to-global property of \(\mathrm{RCD}^*(K,N)\) metric measure spaces ⋮ Mosco convergence of Dirichlet forms in infinite dimensions with changing reference measures ⋮ Right Markov processes and systems of semilinear equations with measure data
This page was built for publication: Introduction to the theory of (non-symmetric) Dirichlet forms
