Treffer: Expanding maps, shrinking targets and hitting times
Title:
Expanding maps, shrinking targets and hitting times
Authors:
Source:
Nonlinearity (Bristol. Print). 25(9):2443-2471
Publisher Information:
Bristol: Institute of Physics, 2012.
Publication Year:
2012
Physical Description:
print, 40 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, Algèbre, Algebra, Théorie des nombres, Number theory, 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, Probabilités et statistiques numériques, Numerical methods in probability and statistics, Physique, Physics, Generalites, General, Méthodes mathématiques en physique, Mathematical methods in physics, Divers, Other topics in mathematical methods in physics, Alphabet, Alfabeto, Analyse non linéaire, Nonlinear analysis, análisis no lineal, Approximation diophantienne, Diophantine approximation, Aproximación diofántica, Chaîne Markov, Markov chain, Cadena Markov, Cible, Target, Blanco, Diversité, Diversity, Diversidad, Fonction partition, Partition function, Función partición, Image, Imagen, Mesure Gibbs, Gibbs measure, Medida Gibbs, Mélange loi probabilité, Mixed distribution, Mezcla ley probabilidad, Mélangeage, Mixing, Mezclado, Métrique, Metric, Métrico, Partition, Partición, Physique mathématique, Mathematical physics, Física matemática, 11Jxx, 37A25, 60J10, 65C40, Estimateur rétrécissement, Shrinkage estimator, Temps retour
Document Type:
Fachzeitschrift
Article
File Description:
text
Language:
English
Author Affiliations:
Universidad Autonoma de Madrid, Departamento de Matemáticas, Facultad de Ciencias, Campus de Cantoblanco, 28049 Madrid, Spain
Universidad Carlos III de Madrid, Departamento de Matemáticas, Escuela Politécnica Superior, Campus de Leganés, 28913 Leganés, Spain
Universidad Carlos III de Madrid, Departamento de Matemáticas, Escuela Politécnica Superior, Campus de Leganés, 28913 Leganés, Spain
ISSN:
0951-7715
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.26341247
Database:
PASCAL Archive
Weitere Informationen
We study the (metric) Diophantine approximation properties of uniformly expanding transformations and some non-uniformly expanding transformations, i.e. transformations T(x) with an associated countable (not necessarily finite) partition and a return time function R(x) (constant on the blocks of the partition) so that T(x) — TR(x)(x) is uniformly expanding, and we obtain Borel-Cantelli results on hitting times of shrinking targets. Our arguments do not require the so-called big image property for T and our results contain most of the diversity of examples of slowly mixing systems. We also obtain, with related techniques, results for one-sided topological Markov chains over a countable alphabet with a Gibbs measure.