Treffer: Limit Theorems for Dispersing Billiards with Cusps
Title:
Limit Theorems for Dispersing Billiards with Cusps
Authors:
Source:
Communications in mathematical physics. 308(2):479-510
Publisher Information:
Heidelberg: Springer, 2011.
Publication Year:
2011
Physical Description:
print, 24 ref
Original Material:
INIST-CNRS
Subject Terms:
Mathematics, Mathématiques, Theoretical physics, Physique théorique, Sciences exactes et technologie, Exact sciences and technology, Sciences et techniques communes, Sciences and techniques of general use, Mathematiques, Mathematics, Topologie. Variétés et complexes cellulaires. Analyse globale et analyse sur variétés, Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds, Analyse globale, analyse sur des variétés, Global analysis, analysis on manifolds, Analyse numérique. Calcul scientifique, Numerical analysis. Scientific computation, Analyse numérique, Numerical analysis, Algèbre linéaire numérique, Numerical linear algebra, Physique, Physics, Generalites, General, Méthodes mathématiques en physique, Mathematical methods in physics, Divers, Other topics in mathematical methods in physics, Chaos, Corrélation, Correlations, Invariance faible, Weak invariance, Invariancia débil, Physique mathématique, Mathematical physics, Système dynamique, Dynamical systems, 37D50, 37XX, 65F35
Document Type:
Fachzeitschrift
Article
File Description:
text
Language:
English
Author Affiliations:
Institute of Mathematics, Budapest University of Technology and Economics, H-1111, Egry Jozsef u. 1, Budapest, Hungary
Department of Mathematics, University of Alabama at Birmingham, Birmingham, AL 35294, United States
Department of Mathematics, University of Maryland, College Park, MD 20742, United States
Department of Mathematics, University of Alabama at Birmingham, Birmingham, AL 35294, United States
Department of Mathematics, University of Maryland, College Park, MD 20742, United States
ISSN:
0010-3616
Rights:
Copyright 2015 INIST-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
Notes:
Mathematics
Theoretical physics
Theoretical physics
Accession Number:
edscal.24765438
Database:
PASCAL Archive
Weitere Informationen
Dispersing billiards with cusps are deterministic dynamical systems with a mild degree of chaos, exhibiting intermittent behavior that alternates between regular and chaotic patterns. Their statistical properties are therefore weak and delicate. They are characterized by a slow (power-law) decay of correlations, and as a result the classical central limit theorem fails. We prove that a non-classical central limit theorem holds, with a scaling factor of √n log n replacing the standard √n. We also derive the respective Weak Invariance Principle, and we identify the class of observables for which the classical CLT still holds.