Weakly pinned random walk on the wall: pathwise descriptions of the phase transition.

DOI10.1016/S0304-4149(01)00118-1zbMath1058.60091OpenAlexW1999553485MaRDI QIDQ1766019

Yasuki Isozaki, Nobuo Yoshida

Publication date: 25 February 2005

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0304-4149(01)00118-1

zbMATH Keywords

random walklimit theoremswetting transitionentropic repulsionweak pinningwall condition

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Functional limit theorems; invariance principles (60F17)

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Cites Work

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• Walks, walls, wetting, and melting
• Pinning of an interface by a weak potential
• Functional central limit theorems for random walks conditioned to stay positive
• Non-Gaussian surface pinned by a weak potential
• A note on the decay of correlations under \(\delta\)-pinning
• A note on wetting transition for gradient fields.
• Absence of a wetting transition for a pinned harmonic crystal in dimensions three and larger
• Uniformity in weak convergence
• An invariance principle for conditioned recurrent random walk attracted to a stable law

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