Treffer: Probabilistic models of multidimensional piecewise expanding mappings
Title:
Probabilistic models of multidimensional piecewise expanding mappings
Authors:
Source:
Journal of statistical physics. 75(1-2):189-213
Publisher Information:
Heidelberg: Springer, 1994.
Publication Year:
1994
Physical Description:
print, 18 ref
Original Material:
INIST-CNRS
Subject Terms:
Theoretical physics, Physique théorique, Sciences exactes et technologie, Exact sciences and technology, Physique, Physics, Generalites, General, Méthodes mathématiques en physique, Mathematical methods in physics, Géométrie, géométrie différentielle, et topologie, Geometry, differential geometry, and topology, Analyse globale et analyse sur des variétés, Global analysis and analysis on manifolds, Théorie des probabilités, processus stochastiques et statistique, Probability theory, stochastic processes, and statistics, Processus stochastiques, Stochastic processes, Physique statistique, thermodynamique, et systèmes dynamiques non linéaires, Statistical physics, thermodynamics, and nonlinear dynamical systems, Fluctuations, processus stochastiques, bruit, et mouvement brownien, Fluctuation phenomena, random processes, noise, and brownian motion, Dynamique non linéaire et systèmes dynamiques non linéaires, Nonlinear dynamics and nonlinear dynamical systems, Fluctuation phenomena, random processes, noise, and Brownian motion, Densité probabilité, Probability density, Densidad probabilidad, Modèle n dimensions, Multidimensional model, Modelo n dimensiones, Modèle probabiliste, Probabilistic model, Modelo probabilista, Probabilité transition, Transition probabilities, Processus Markov, Markov process, Processus diffusion, Diffusion process, Proceso difusión, Processus stochastique, Stochastic processes, Système chaotique, Chaotic systems, Théorème central limite, Central limit theorem, Teorema central límite
Document Type:
Fachzeitschrift
Article
File Description:
text
Language:
English
Author Affiliations:
Univ. Bielefeld, BiBoS/Fak. Physik, 33615 Bielefeld, Germany
ISSN:
0022-4715
Rights:
Copyright 1994 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.4081823
Database:
PASCAL Archive
Weitere Informationen
Strongly chaotic systems (e.g., piecewise expanding mappings) exhibit diffusionlike behavior in the sense of central limit theorems. To find more precise statements about the similarity to probabilistic diffusion, we study how the evolution of probability densities under d-dimensional piecewise expanding mappings can be modeled by Markov processes with smooth transition probabilities (such as diffusion processes). Our results can be viewed as a special type of local limit theorem.