Construction of Gibbs measures for 1-dimensional continuum fields

DOI10.1007/s00440-005-0481-0zbMath1102.60048OpenAlexW2135775152MaRDI QIDQ2502252

Yuu Hariya

Publication date: 12 September 2006

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2324/3366

zbMATH Keywords

singular external potentialGinzburg-Landau random fieldhard-wall potentialNelson's scalar field modelnon-convex interaction

Mathematics Subject Classification ID

Random fields (60G60) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Continuum models (systems of particles, etc.) arising in equilibrium statistical mechanics (82B21)

Cites Work

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• Gibbs measures relative to Brownian motion
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• Entropic repulsion of the lattice free field
• Superstable interactions in classical statistical mechanics
• Absence of a wetting transition for a pinned harmonic crystal in dimensions three and larger
• DIFFUSION PROCESSES ON PATH SPACES WITH INTERACTIONS
• Gibbs measures for Brownian paths under the effect of an external and a small pair potential.

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