Monotone loop models and rational resonance

DOI10.1007/s00440-010-0285-8zbMath1232.60010arXiv0806.1236OpenAlexW2110019845MaRDI QIDQ718897

Richard W. Kenyon, Alan Hammond

Publication date: 27 September 2011

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

Full work available at URL: https://arxiv.org/abs/0806.1236

zbMATH Keywords

cycleorbitrandom dynamical systemspanning forestquenched random walkrandom lattice path

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Sums of independent random variables; random walks (60G50) Combinatorial probability (60C05) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41)

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Cites Work

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• The largest digit in the continued fraction expansion of a rational number
• Critical resonance in the non-intersecting lattice path model