Multifractal analysis of infinite products of stationary jump processes.
Mannersalo, Petteri, Norros, Ilkka, Riedi, Rudolf H. (2010)
Journal of Probability and Statistics
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Mannersalo, Petteri, Norros, Ilkka, Riedi, Rudolf H. (2010)
Journal of Probability and Statistics
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Miguel A. Arcones (2004)
ESAIM: Probability and Statistics
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We study the large deviation principle for stochastic processes of the form , where is a sequence of i.i.d.r.v.’s with mean zero and . We present necessary and sufficient conditions for the large deviation principle for these stochastic processes in several situations. Our approach is based in showing the large deviation principle of the finite dimensional distributions and an exponential asymptotic equicontinuity condition. In order to get the exponential asymptotic equicontinuity...
Fernández, Roberto, Ferrari, Pablo A., Guerberoff, Gustavo R. (2005)
Mathematical Physics Electronic Journal [electronic only]
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Myriam Fradon, Sylvie Rœlly (2007)
ESAIM: Probability and Statistics
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We consider an infinite system of hard balls in undergoing Brownian motions and submitted to a smooth pair potential. It is modelized by an infinite-dimensional stochastic differential equation with an infinite-dimensional local time term. Existence and uniqueness of a strong solution is proven for such an equation with fixed deterministic initial condition. We also show that Gibbs measures are reversible measures.
Panchenko, Dmitriy (2001)
Electronic Communications in Probability [electronic only]
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Mishra, M.N., Prakasa Rao, B.L.S. (2004)
Journal of Applied Mathematics and Stochastic Analysis
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Rahimov, I., Muttlak, H. (2004)
International Journal of Mathematics and Mathematical Sciences
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Toninelli, Fabio Lucio (2007)
Electronic Journal of Probability [electronic only]
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Panchenko, Dmitriy (2002)
Electronic Communications in Probability [electronic only]
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D. V. Lee (1993)
Acta Arithmetica
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