A note on specification for iterated function systems

Welington  Cordeiro; Manfred  Denker; Michiko Yuri

doi:10.3934/dcdsb.2015.20.3475

Article Contents

2015, Volume 20, Issue 10: 3475-3485. Doi: 10.3934/dcdsb.2015.20.3475

This issue Previous Article Topological entropy for set-valued maps Next Article Two results on entropy, chaos and independence in symbolic dynamics

A note on specification for iterated function systems

1.
Department of Mathematics, Universidade Federal do Rio de Janeiro, Rio de Janeiro-RJ, CT, 21945-970
2.
Mathematics Department, The Pennsylvania State University, State College, PA 16802
3.
Department of Mathematics, Graduate School of Science, Hokkaido University, Kita 10, Nishi 8, Kita-ku, Sapporo 060-0810

Received: November 30, 2014

Revised: February 28, 2015

Published: November 2015

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Abstract

We introduce several notions of specification for iterated function systems and exhibit some of their dynamical properties. In particular, we show that topological entropy and algebraic pressure [4] of systems with specification are approximable by the corresponding expressions for finitely generated iterated function systems.

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Mathematics Subject Classification: 28D20, 28D99, 37A25, 37A30, 37B40, 37C30, 37D35.

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References

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