[Statistics, Probability and Chaos]: Comment: Relation Between Statistics and Chaos
نویسندگان
چکیده
منابع مشابه
[ Statistics , Probability and Chaos ] : Rejoinder ( Part 1 )
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We review a wide variety of applications in different branches of sciences arising from the study of dynamical systems. The emergence of chaos and fractals from iterations of simple difference equations is discussed. Notions of phase gpace, contractive mapping, attractor, invariant density and the relevance of ergodic theory for studying dynamical systems are reviewed. Various concepts of dimen...
متن کاملSemi-Poisson statistics in quantum chaos.
We investigate the quantum properties of a nonrandom Hamiltonian with a steplike singularity. It is shown that the eigenfunctions are multifractals and, in a certain range of parameters, the level statistics is described exactly by semi-Poisson statistics (SP) typical of pseudointegrable systems. It is also shown that our results are universal, namely, they depend exclusively on the presence of...
متن کاملLevel velocity statistics of hyperbolic chaos
A generalized standard map is quantized as a model of quantum chaos. We show that, only in hyperbolic chaotic regime, second moment of quantum level velocity is ∼ 1/h̄ as predicted by the random matrix theory. As a semiclassical implication, all higher order classical time correlations are insignificant in this regime.
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ژورنال
عنوان ژورنال: Statistical Science
سال: 1992
ISSN: 0883-4237
DOI: 10.1214/ss/1177011449