منابع مشابه
Decay of Correlations
1. What are these lectures about? Invariant measures, physical measures, and rates of mixing We are interested in discrete-time dynamical systems represented by the iterates f n = f f n?1 (where n 2 Z + represents time) of a transformation f : M ! M which is \chaotic," in the sense that arbitrarily close distinct initial points become \separated" (assuming a metric structure or at least a topol...
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We ccMisulor N parti do systems whose probability distributions obey tlumarter cquntio». lor those systems, we derive the necessary and sufficient cüiiditious uiulor which the reduced n particle (n < N) probabilities also obey waster cciuationr. and under wliich the Ursel 1 functions decay to their equilibrjuu values faster than the probability distributions. These conditions impose restrict io...
متن کاملDecay of Correlations for Slowly Mixing Flows
We show that polynomial decay of correlations is prevalent for a class of nonuniformly hyperbolic flows. These flows are the continuous time analogue of a class of nonuniformly hyperbolic diffeomorphisms for which Young proved polynomial decay of correlations. Roughly speaking, in situations where the decay rate O(1/nβ) has previously been proved for diffeomorphisms, we establish the decay rate...
متن کاملDecay of Correlations for Piecewise Expanding Maps
This paper investigates the decay of correlations in a large class of non-Markov one-dimensional expanding maps. The method employed is a special version of a general approach recently proposed by the author. Explicit bounds on the rate of decay of correlations are obtained.
متن کاملDecay of Spatial Correlations in Thermal States
We study the cluster properties of thermal equilibrium states in theories with a maximal propagation velocity (such as relativistic QFT). Our analysis, carried out in the setting of algebraic quantum field theory, shows that there is a tight relation between spectral properties of the generator of time translations and the decay of spatial correlations in thermal equilibrium states, in complete...
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ژورنال
عنوان ژورنال: Scholarpedia
سال: 2008
ISSN: 1941-6016
DOI: 10.4249/scholarpedia.4862