Hostname: page-component-cd9895bd7-jkksz Total loading time: 0 Render date: 2024-12-26T00:26:02.701Z Has data issue: false hasContentIssue false
  • English
  • Français

Ergodic properties of random iterations of analytic functions

Published online by Cambridge University Press:  01 December 1999

AMIRAN AMBROLADZE
AMIRAN AMBROLADZE
Affiliation:
Department of Mathematics, Lund University/LTH, Box 118, S-221 00 Lund, Sweden (e-mail: [email protected]) Department of Mathematics, Tbilisi State University, Tbilisi, Georgia
Get access Rights & Permissions [Opens in a new window]

Abstract

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.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 19 , Issue 6 , December 1999 , pp. 1379 - 1388
Copyright
1999 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)