Functional inequalities for particle systems on Polish spaces
DOI10.1007/s11118-005-0913-6zbMath1104.47045arXivmath/0512100OpenAlexW2131031132MaRDI QIDQ2502240
Feng-Yu Wang, Michael Roeckner
Publication date: 12 September 2006
Published in: Potential Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0512100
Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Interacting particle systems in time-dependent statistical mechanics (82C22) Markov semigroups and applications to diffusion processes (47D07) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31)
Related Items (2)
Cites Work
- Hypercontractivity and spectral gap of symmetric diffusions with applications to the stochastic Ising models
- Ultracontractivity and the heat kernel for Schrödinger operators and Dirichlet Laplacians
- Finite propagation speed, kernel estimates for functions of the Laplace operator, and the geometry of complete Riemannian manifolds
- The equivalence of the logarithmic Sobolev inequality and the Dobrushin- Shlosman mixing condition
- Introduction to the theory of (non-symmetric) Dirichlet forms
- Nearest neighbor birth and death processes on the real line
- Analysis and geometry on configuration spaces
- Analysis and geometry on configuration spaces: the Gibbsian case
- On modified logarithmic Sobolev inequalities for Bernoulli and Poisson measures
- Existence of the spectral gap for elliptic operators
- Estimate of spectral gap for continuous gas
- A new modified logarithmic Sobolev inequality for Poisson point processes and several applications
- The spectral gap for a Glauber-type dynamics in a continuous gas
- A generalization of Poincaré and log-Sobolev inequalities
- Cheeger's inequalities for general symmetric forms and existence criteria for spectral gap.
- Functional inequalities for empty essential spectrum
- Glauber dynamics of continuous particle systems
- Coupling, convergence rates of Markov processes and weak Poincaré inequalities
- Functional inequalities for uniformly integrable semigroups and application to essential spectrums
- On Talagrand's deviation inequalities for product measures
- Logarithmic Sobolev Inequalities
- FUNCTIONAL INEQUALITIES, SEMIGROUP PROPERTIES AND SPECTRUM ESTIMATES
- ON THE SPECTRUM OF A CLASS OF NON-SECTORIAL DIFFUSION OPERATORS
- Weak Poincaré inequalities and \(L^2\)-convergence rates of Markov semigroups
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Functional inequalities for particle systems on Polish spaces
