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Moderate deviations for the chemical distance in Bernoulli percolation

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Publication:2865816
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zbMath1276.60112arXiv0907.0698MaRDI QIDQ2865816

Régine Marchand, Olivier Garet

Publication date: 3 December 2013

Full work available at URL: https://arxiv.org/abs/0907.0698


zbMATH Keywords

percolationmoderate deviationssubadditivityconcentration inequalitieschemical distance


Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Percolation (82B43)


Related Items (8)

Moderate deviations for shortest-path lengths on random segment processes ⋮ Continuity for the rate function of the simple random walk on supercritical percolation clusters ⋮ Unnamed Item ⋮ Large Deviations for the Graph Distance in Supercritical Continuum Percolation ⋮ Probability Theory in Statistical Physics, Percolation, and Other Random Topics: The Work of C. Newman ⋮ Deviation bounds for the first passage time in the frog model ⋮ Regularity of the time constant for a supercritical Bernoulli percolation ⋮ The time constant for Bernoulli percolation is Lipschitz continuous strictly above \(p_c\)




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