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作者：Adamczak, Radoslaw
作者单位：Polish Academy of Sciences; Institute of Mathematics of the Polish Academy of Sciences
摘要：We present moment inequalities for completely degenerate Banach space valued (generalized) U-statistics of arbitrary order. The estimates involve suprema of empirical processes which, in the real-valued case, can be replaced by simpler norms of the kernel matrix (i.e., norms of some multilinear operators associated with the kernel matrix). As a corollary, we derive tail inequalities for U-statistics with bounded kernels and for some multiple stochastic integrals.
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作者：Jara, Milton
摘要：We show that for the mean zero simple exclusion process in Z(d) and for the asymmetric simple exclusion process in Z(d) for d >= 3, the self-diffusion coefficient of a tagged particle is stable when approximated by simple exclusion processes on large periodic lattices. The proof depends on a similar stability property of the Sobolev inner product associated with the operator.
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作者：Latala, Rafal
作者单位：University of Warsaw
摘要：We derive two-sided estimates on moments and tails of Gaussian chaoses, that is, random variables of the form Sigma a(i1),...,i(d)g(i1) center dot center dot center dot g(id), where g(i) are i.i.d. N(0, 1) r.v.s. Estimates are exact up to constants depending on d only.
