Infinite-dimensional diffusion processes with singular interaction

DOI10.1016/S0007-4497(00)00136-6zbMath0958.60059MaRDI QIDQ1588722

Myriam Fradon, Sylvie Roelly

Publication date: 4 December 2000

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

zbMATH Keywords

stochastic differential equationGibbs measurereversible measurehard core potential

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Interacting random processes; statistical mechanics type models; percolation theory (60K35)

Related Items (5)

Long time behavior of stochastic hard ball systems ⋮ An infinite system of Brownian balls with infinite range interaction. ⋮ Infinite system of Brownian balls with interaction: the non-reversible case ⋮ INFINITELY MANY BROWNIAN GLOBULES WITH BROWNIAN RADII ⋮ INFINITE SYSTEM OF BROWNIAN BALLS: EQUILIBRIUM MEASURES ARE CANONICAL GIBBS

Cites Work

• Gradient dynamics of infinite point systems
• On the symmetry of a reflecting Brownian motion defined by Skorohod's equation for a multi-dimensional domain
• Uniqueness of Dirichlet forms associated with systems of infinitely many Brownian balls in \({\mathbb R}^ d\)
• Stochastic differential equations for mutually reflecting Brownian balls
• 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
• Superstable interactions in classical statistical mechanics
• Zur Umkehrbarkeit der statistischen Naturgesetze
• Unendlich-dimensionale Wienerprozesse mit Wechselwirkung

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