ISSN:
1572-9613
Keywords:
Multidimensional piecewise expanding mappings
;
deterministic chaos
;
diffusion
;
central limit theorem
;
local limit theorem
;
Markov processes
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
Abstract Strongly chaotic systems (e.g., piecewise expanding mappings) exhibit diffusion-like 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 underd-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.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF02186286
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