Some LIL type results on the partial sums and trimmed sums with multidimensional indices.
Liu, Wei-Dong, Lin, Zheng-Yan (2007)
Electronic Communications in Probability [electronic only]
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Liu, Wei-Dong, Lin, Zheng-Yan (2007)
Electronic Communications in Probability [electronic only]
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Peres, Yuval, Revelle, David (2004)
Electronic Journal of Probability [electronic only]
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Graça Temido, M. (2003)
Portugaliae Mathematica. Nova Série
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Lawler, Gregory F., Limic, Vlada (2004)
Electronic Journal of Probability [electronic only]
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Roitershtein, Alexander (2005)
Electronic Communications in Probability [electronic only]
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Barton, Nick H., Etheridge, Alison M., Véber, Amandine (2010)
Electronic Journal of Probability [electronic only]
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Balan, Raluca, Zamfirescu, Ingrid-Mona (2006)
Electronic Communications in Probability [electronic only]
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Toninelli, Fabio Lucio (2007)
Electronic Journal of Probability [electronic only]
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Berestycki, Nathanael, Durrett, Rick (2008)
Electronic Journal of Probability [electronic only]
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Philippe Carmona (2010)
ESAIM: Probability and Statistics
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The sequence of random probability measures that gives a path of length , times the sum of the random weights collected along the paths, is shown to satisfy a large deviations principle with good rate function the Legendre transform of the free energy of the associated directed polymer in a random environment. Consequences on the asymptotics of the typical number of paths whose collected weight is above a fixed proportion are then drawn.
Cassandro, Marzio, Orlandi, Enza, Picco, Pierre, Eulalia Vares, Maria (2005)
Electronic Journal of Probability [electronic only]
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Iksanov, Alex, Möhle, Martin (2007)
Electronic Communications in Probability [electronic only]
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Heicklen, Deborah, Hoffman, Christopher (2005)
Electronic Journal of Probability [electronic only]
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