منابع مشابه
Characteristic relaxation times and their invariance to thermodynamic conditions
The dynamics of molecular liquids and polymers exhibit various ‘‘transitions’’, associated with characteristic changes in properties. With decreasing temperature or increasing pressure, these transitions include (i) the onset of intermolecular cooperativity with consequent nonArrhenius and non-Debye behavior; (ii) the dynamic crossover at which derivatives of the relaxation time and strength ex...
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Consider a sequence {Xi(0)}i=1 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 {Xi(t)}t≥0 (i = 1, 2, · · · ) whose invariant distribution is the law ν of X1(0). Benjamini et al. (2003) introduced the dynamica...
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We prove that when a sequence of Lévy processes X(n) or a normed sequence of random walks S(n) converges a.s. on the Skorokhod space toward a Lévy process X, the sequence L(n) of local times at the supremum of X(n) converges uniformly on compact sets in probability toward the local time at the supremum of X. A consequence of this result is that the sequence of (quadrivariate) ladder processes (...
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The static form of the size-distance invariance hypothesis asserts that a given proximal stimulus size (visual angle) determines a unique and constant ratio of perceived object size to perceived object distance. A proposed kinetic invariance hypothesis asserts that a changing proximal stimulus size (an expanding or contracting solid visual angle) produces a constant perceived size and a changin...
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Motivating the perturbations of frames in Hilbert and Banach spaces, in this paper we introduce the invariance of Fr'echet frames under perturbation. Also we show that for any Fr'echet spaces, there is a Fr'echet frame and any element in these spaces has a series expansion.
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ژورنال
عنوان ژورنال: The Annals of Probability
سال: 2017
ISSN: 0091-1798
DOI: 10.1214/17-aop1174