3期

最新文章

• Acknowledgement of priority concerning On the central limit theorem for geometrically ergodic Markov chains'' AI翻译
  作者：Häggström, O
  作者单位：Chalmers University of Technology
• The essential equivalence of pairwise and mutual conditional independence AI翻译
  作者：Hammond, PJ; Sun, YN
  作者单位：Stanford University; National University of Singapore; National University of Singapore
  摘要：For a large collection of random variables, pairwise conditional independence and mutual conditional independence are shown to be essentially equivalent - i.e., equivalent to up to null sets. Unlike in the finite setting, a large collection of random variables remains essentially conditionally independent under further conditioning. The essential equivalence of pairwise and multiple versions of exchangeability also follows as a corollary. Our result relies on an iterated extension of Bledsoe a...
• Excursion decompositions for SLE and Watts' crossing formula AI翻译
  作者：Dubédat, J
  作者单位：New York University
  摘要：It is known that Schramm-Loewner Evolutions (SLEs) have a.s. frontier points if kappa > 4 and a.s. cutpoints if 4 < kappa < 8. If kappa > 4, an appropriate version of SLE(kappa) has a renewal property: it starts afresh after visiting its frontier. Thus one call give an excursion decomposition for this particular SLE(kappa) away from its frontier. For 4 < kappa < 8, there is a two-sided analogue of this situation: a particular version of SLE(K) has a renewal property w.r.t its cutpoints; one st...
• Exceptional times and invariance for dynamical random walks AI翻译
  作者：Khoshnevisan, D; Levin, DA; Méndez-Hernández, PJ
  作者单位：Utah System of Higher Education; University of Utah; Universidad Costa Rica
  摘要：Consider a sequence (X-i(0)}(i=1)(n) of i.i.d. random variables. Associate to each Xi (0) an independent mean-one Poisson clock. Every time a clock rings replace that X-variable by an independent copy and restart the clock. In this way, we obtain i.i.d. stationary processes {X-i(t)}(t >= 0) (i = 1, 2,..) whose invariant distribution is the law nu of X-1 (0). Benjamini et al. (2003) introduced the dynamical walk S-n (t) = X-1 (t) +...+ X-n(t), and proved among other things that the LIL holds fo...
• Empirical minimization AI翻译
  作者：Bartlett, PL; Mendelson, S
  作者单位：University of California System; University of California Berkeley; University of California System; University of California Berkeley; Australian National University
  摘要：We investigate the behavior of the empirical minimization algorithm using various methods. We first analyze it by comparing the empirical, random, structure and the original one on the class, either in an additive sense, via the uniform law of large numbers, or in a multiplicative sense, using isomorphic coordinate projections. We then show that a direct analysis of the empirical minimization algorithm yields a significantly better bound, and that the estimates we obtain are essentially sharp....
• Convergence and local equilibrium for the one-dimensional nonzero mean exclusion process AI翻译
  作者：Bahadoran, C.; Mountford, T. S.
  作者单位：Universite Clermont Auvergne (UCA); Swiss Federal Institutes of Technology Domain; Ecole Polytechnique Federale de Lausanne
  摘要：We consider finite-range, nonzero mean, one-dimensional exclusion processes on Zeta. We show that, if the initial configuration has ``density'' alpha, then the process converges in distribution to the product Bernoulli measure with mean density alpha. From this we deduce the strong form of local equilibrium in the hydrodynamic limit for non-product initial measures.