Exponential Decay of Correlations for a Real-Valued Dynamical System Generated by a k$k$ Dimensional System
Sign Up to like & getrecommendations! Published in 2018 at "Acta Applicandae Mathematicae"
DOI: 10.1007/s10440-018-0192-z
Abstract: As a first step towards modelling real time-series, we study a class of real-variable, bounded processes {Xn,n∈N}$\{X_{n}, n\in \mathbb{N}\}$ defined by a deterministic k$k$-term recurrence relation Xn+k=φ(Xn,…,Xn+k−1)$X_{n+k} = \varphi (X _{n}, \ldots , X_{n+k-1})$. These… read more here.
Keywords: dynamical system; system; exponential decay; correlations real ... See more keywords
Exponential Decay of Correlations in the 2D Random Field Ising Model
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DOI: 10.1007/s10955-019-02401-5
Abstract: An extension of the Ising spin configurations to continuous functions is used for an exact representation of the random field Ising model’s order parameter in terms of disagreement percolation. This facilitates an extension of the… read more here.
Keywords: exponential decay; random field; field ising; ising model ... See more keywords
Decay of correlations and memory loss for Lasota–Yorke convex maps
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DOI: 10.1080/14689367.2021.1924622
Abstract: For a class of piecewise convex maps f on the interval , we show that f has a unique absolutely continuous invariant probability measure μ with exponential decay of correlations, and we also present the… read more here.
Keywords: convex; correlations memory; decay correlations; convex maps ... See more keywords
Decay of correlations and laws of rare events for transitive random maps
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DOI: 10.1088/1361-6544/aa64e8
Abstract: We show that a uniformly continuous random perturbation of a transitive map defines an aperiodic Harris chain which also satisfies Doeblin's condition. As a result, we get exponential decay of correlations for suitable random perturbations… read more here.
Keywords: events transitive; transitive random; correlations laws; rare events ... See more keywords
Quenched decay of correlations for nonuniformly hyperbolic random maps with an ergodic driving system
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DOI: 10.1088/1361-6544/acd220
Abstract: In this article we study random tower maps driven by an ergodic automorphism. We prove quenched exponential correlations decay for tower maps admitting exponential tails. Our technique is based on constructing suitable cones of functions,… read more here.
Keywords: quenched decay; random; correlations nonuniformly; decay correlations ... See more keywords
Helicity and nuclear β decay correlations
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DOI: 10.1119/1.4966197
Abstract: We present simple derivations of nuclear β-decay correlations with an emphasis on the special role of helicity. This topic provides a good opportunity to teach students about helicity and chirality in particle physics with exercises… read more here.
Keywords: decay correlations; helicity nuclear; nuclear decay; physics ... See more keywords