Tagged particle processes and their non-explosion criteria
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Publication:5962087
DOI10.2969/jmsj/06230867zbMath1196.60166arXiv0905.3973OpenAlexW1978726108MaRDI QIDQ5962087
Publication date: 16 September 2010
Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0905.3973
interacting Brownian particlesDirichlet formsinfinitely dimensional diffusionsinfinitely many particle systems
Interacting particle systems in time-dependent statistical mechanics (82C22) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Diffusion processes (60J60) Continuum models (systems of particles, etc.) arising in equilibrium statistical mechanics (82B21)
Related Items (15)
Interacting Brownian motions in infinite dimensions related to the origin of the spectrum of random matrices ⋮ Dynamical universality for random matrices ⋮ Ergodicity of unlabeled dynamics of Dyson’s model in infinite dimensions ⋮ Stochastic analysis of infinite particle systems—A new development in classical stochastic analysis and dynamical universality of random matrices ⋮ Strong Markov property of determinantal processes with extended kernels ⋮ Stochastic differential equations for Infinite particle systems of jump type with long range interactions ⋮ Infinite-dimensional stochastic differential equations related to Bessel random point fields ⋮ Infinite-dimensional stochastic differential equations related to random matrices ⋮ On the rate of convergence for the mean-field approximation of controlled diffusions with large number of players ⋮ Uniqueness of Dirichlet forms related to infinite systems of interacting Brownian motions ⋮ Infinite-dimensional stochastic differential equations and tail \(\sigma\)-fields II: the IFC condition ⋮ Infinite-dimensional stochastic differential equations and tail \(\sigma\)-fields ⋮ Dyson's model in infinite dimensions is irreducible ⋮ Infinite particle systems with hard-core and long-range interaction ⋮ Stochastic geometry and dynamics of infinitely many particle systems—random matrices and interacting Brownian motions in infinite dimensions
Cites Work
- Unnamed Item
- Unnamed Item
- Infinite-dimensional stochastic differential equations related to random matrices
- An invariance principle for reversible Markov processes. Applications to random motions in random environments
- Collision or non-collision problem for interacting Brownian particles.
- Central limit theorem for additive functionals of reversible Markov processes and applications to simple exclusions
- Gradient dynamics of infinite point systems
- Introduction to the theory of (non-symmetric) Dirichlet forms
- Analysis and geometry on configuration spaces: the Gibbsian case
- Positivity of the self-diffusion matrix of interacting Brownian particles with hard core
- Dirichlet forms and symmetric Markov processes
- Uniqueness of Dirichlet forms associated with systems of infinitely many Brownian balls in \({\mathbb R}^ d\)
- An invariance principle for Markov processes and Brownian particles with singular interaction
- Dirichlet forms and diffusion processes for fermion random point fields
- Dirichlet form approach to infinite-dimensional Wiener processes with singular interactions
- A system of infinitely many mutually reflecting Brownian balls in \(\mathbb{R}^ d\)
- Construction of infinite dimensional interacting diffusion processes through Dirichlet forms
- Interacting Brownian motions in infinite dimensions with logarithmic interaction potentials
- Superstable interactions in classical statistical mechanics
- Determinantal random point fields
- TAGGED PARTICLE PROCESS IN CONTINUUM WITH SINGULAR INTERACTIONS
- Non-collision and collision properties of Dyson's model in infinite dimension and other stochastic dynamics whose equilibrium states are determinantal random point fields
- Unendlich-dimensionale Wienerprozesse mit Wechselwirkung
- Unendlich-dimensionale Wienerprozesse mit Wechselwirkung
- A remark on infinite-dimensional Wiener processes with interactions
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