One-dimensional random field Kac's model: weak large deviations principle.
Picco, Pierre, Orlandi, Enza (2009)
Electronic Journal of Probability [electronic only]
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Picco, Pierre, Orlandi, Enza (2009)
Electronic Journal of Probability [electronic only]
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Oliver Johnson, Christina Goldschmidt (2006)
ESAIM: Probability and Statistics
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We extend Hoggar's theorem that the sum of two independent discrete-valued log-concave random variables is itself log-concave. We introduce conditions under which the result still holds for dependent variables. We argue that these conditions are natural by giving some applications. Firstly, we use our main theorem to give simple proofs of the log-concavity of the Stirling numbers of the second kind and of the Eulerian numbers. Secondly, we prove results concerning the log-concavity of...
Lawler, Gregory F., Limic, Vlada (2004)
Electronic Journal of Probability [electronic only]
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Fan, Aihua, Kahane, J. P. (2001)
Portugaliae Mathematica. Nova Série
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Manstavicius, Eugenijus (2010)
The Electronic Journal of Combinatorics [electronic only]
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Pak, Igor (1999)
Electronic Journal of Probability [electronic only]
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Nina Gantert (2002)
Annales de l'I.H.P. Probabilités et statistiques
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