THE LAW OF LARGE NUMBERS AND THE LAW OF THE ITERATED LOGARITHM FOR INFINITE DIMENSIONAL INTERACTING DIFFUSION PROCESSES

DOI10.1142/S0219025703001316zbMath1045.60107OpenAlexW2168123988MaRDI QIDQ3043513

Wei Sun, Byron Schmuland

Publication date: 6 August 2004

Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219025703001316

zbMATH Keywords

law of large numberslaw of the iterated logarithmDirichlet formConfiguration space

Mathematics Subject Classification ID

Random fields (60G60) Central limit and other weak theorems (60F05) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Dirichlet forms (31C25) Sample path properties (60G17)

Related Items (1)

Infinite interacting diffusion particles I: Equilibrium process and its scaling limit

Cites Work

• Equilibrium fluctuations for interacting Brownian particles
• The Borel-Cantelli lemma for strong mixing sequences of events and their applications to LIL
• Introduction to the theory of (non-symmetric) Dirichlet forms
• Random fields
• Analysis and geometry on configuration spaces
• Analysis and geometry on configuration spaces: the Gibbsian case
• Dirichlet form approach to infinite-dimensional Wiener processes with singular interactions
• Construction of infinite dimensional interacting diffusion processes through Dirichlet forms
• Rademacher's theorem on configuration spaces and applications
• Superstable interactions in classical statistical mechanics
• Ergodic theorems for spatial processes
• A support property for infinite-dimensional interacting diffusion processes
• Moment Inequalities for the Maximum Cumulative Sum
• The law of the iterated logarithm for stationary processes satisfying mixing conditions

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