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A random energy model for size dependence: Recurrence vs. transience

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Publication:1390757
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DOI10.1007/s004400050162zbMath0908.60038OpenAlexW1980790134MaRDI QIDQ1390757

Christof Külske

Publication date: 14 March 1999

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

Full work available at URL: https://doi.org/10.1007/s004400050162

zbMATH Keywords

branching processesrandom walksdisordered systemslarge deviationslaw of iterated logarithm


Mathematics Subject Classification ID

Extreme value theory; extremal stochastic processes (60G70) Sums of independent random variables; random walks (60G50) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)


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A representation of Gibbs measure for the random energy model.



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