Eigenvalue versus perimeter in a shape theorem for self-interacting random walks

DOI10.1214/17-AAP1307zbMath1393.82007arXiv1603.03817OpenAlexW2301352816MaRDI QIDQ1751969

Eviatar B. Procaccia, Marek Biskup

Publication date: 25 May 2018

Published in: The Annals of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.03817

zbMATH Keywords

random environmentDirichlet eigenvalueperimetershape theoremfirst-passage percolationinteracting polymer

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Statistical mechanics of polymers (82D60) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41) Percolation (82B43) Processes in random environments (60K37) Optimization of shapes other than minimal surfaces (49Q10)

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