• Ergodic properties of random i...

Treffer: Ergodic properties of random iterations of analytic functions

Title:
Ergodic properties of random iterations of analytic functions
Authors:
Amiran Ambroladze
Source:
Ergodic Theory and Dynamical Systems. 19:1379-1388
Publisher Information:
Cambridge University Press (CUP), 1999.
Publication Year:
1999
Subject Terms:
Dynamical systems and their relations with probability theory and stochastic processes, iterated function system of analytic functions, Random dynamical systems aspects of multiplicative ergodic theory, Lyapunov exponents, Ergodicity, mixing, rates of mixing, 0101 mathematics, ergodic property, 01 natural sciences, Dynamics of complex polynomials, rational maps, entire and meromorphic functions, Fatou and Julia sets
Document Type:
Fachzeitschrift Article
File Description:
application/xml
Language:
English
ISSN:
1469-4417
0143-3857
DOI:
10.1017/s014338579914166x
Access URL:
https://dialnet.unirioja.es/servlet/articulo?codigo=477921
https://www.cambridge.org/core/journals/ergodic-theory-and-dynamical-systems/article/ergodic-properties-of-random-iterations-of-analytic-functions/EC52A36F235A146BF78DBE12E8160AA3
Rights:
Cambridge Core User Agreement
Accession Number:
edsair.doi.dedup.....2d9702bc63875ece12c7b7f453d61645
Database:
OpenAIRE

Weitere Informationen

It is a known fact that an iterated function system (IFS) of entire functions is not necessarily ergodic. In this paper we show that if an IFS of analytic functions is defined in a domain whose boundary contains more than two points (in the extended complex plane) then the system possesses an ergodic property.