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We consider a general class of statistical mechanical models of coherent structures in turbulence, which includes models of two-dimensional fluid motion, quasi-geostrophic flows, and dispersive waves....
In this article we prove the existence and uniqueness for degenerate stochastic differential equations with Sobolev (possibly singular) drift and diffusion coefficients in a generalized sense. In pa...
The purpose of the paper is to establish a large deviation principle for a certain class of increasing set-valued processes obeying Markovian dynamics. The obtained result is then applied to invest...
Let XI, X,, . .. be i.i.d. random variables with a commondf. P.LetS,=X,+ ...+ X,,n>1,andMm=max,s,Xk,n21. In this paper for a large class of subexponential distributions we estimate the rate of conv...
In this paper we present two large deviation results for weighted compound sums L:, aiXi, where Xis are i.i.d. (possibly lattice) random variables, a;s are non-negative real numbers, and N is a Poi...
A class of multidimensiond distributions is considered. This class contains all the elliptically contoured distributions having sup-exponential weight function. Each representative of the class dete...
Large Deviation Results for Compound Markov Renewal Processes。
Via Phi-Sobolev inequalities, we give some sharp integrability conditions on $F$ for the large deviation principle of the empirical mean $frac{1}{T}{int_{0}^{T}{F(X_{s})}ds}$ for large time $T$, where...

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