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Smooth unimodal maps in the 1990s

Published online by Cambridge University Press:  02 April 2001

JACEK GRACZYK  and
GRZEGORZ ŚWIA¸TEK
JACEK GRACZYK
Affiliation:
Department of Mathematics, Royal Institute of Technology, 100 44 Stockholm, Sweden
GRZEGORZ ŚWIA¸TEK
Affiliation:
Department of Mathematics, Pennsylvania State University, University Park, PA 16802, USA
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Abstract

The purpose of this paper is to survey the key ideas which have played a role in the development of the theory of smooth unimodal maps in the 1990s so as to provide a starting point for more detailed study. Most papers underlying this survey are distinguished by great technical complexity; we have therefore attempted to extract their essence and present it in a way accessible to a non-specialist. For further study we compiled a long list of original references. Another goal of this paper is to present the multi-directional process in which ideas flowed and developed, placed in a historical order.

Type
Review Article
Information
Ergodic Theory and Dynamical Systems , Volume 19 , Issue 2 , April 1999 , pp. 263 - 287
Copyright
1999 Cambridge University Press

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