On the measurable dynamics of [formula omitted]

Etienne Ghys; Lisa R. Goldberg; Dennis P. Sullivan

doi:10.1017/S0143385700002984

On the measurable dynamics of [formula omitted]

Etienne Ghys
, Lisa R. Goldberg
, Dennis P. Sullivan

Mathematics

Université de Lille
City University of New York

Research output: Contribution to journal › Article › peer-review

11 Scopus citations

Abstract

We study the measure theoretic properties of the complex exponential map E(z) = e^z.An particular, we show that the equivalence relation generated by E is recurrent and that E has no quasi-conformal deformations. This enables us to give some information concerning Devaney's semi-conjugacy between E and the shift map on sequences of integers.

Original language	English
Pages (from-to)	329-335
Number of pages	7
Journal	Ergodic Theory and Dynamical Systems
Volume	5
Issue number	3
DOIs	https://doi.org/10.1017/S0143385700002984
State	Published - Sep 1985

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title = "On the measurable dynamics of [formula omitted]",

abstract = "We study the measure theoretic properties of the complex exponential map E(z) = ez.An particular, we show that the equivalence relation generated by E is recurrent and that E has no quasi-conformal deformations. This enables us to give some information concerning Devaney's semi-conjugacy between E and the shift map on sequences of integers.",

author = "Etienne Ghys and Goldberg, \{Lisa R.\} and Sullivan, \{Dennis P.\}",

year = "1985",

month = sep,

doi = "10.1017/S0143385700002984",

language = "English",

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journal = "Ergodic Theory and Dynamical Systems",

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T1 - On the measurable dynamics of [formula omitted]

AU - Ghys, Etienne

AU - Goldberg, Lisa R.

AU - Sullivan, Dennis P.

PY - 1985/9

Y1 - 1985/9

N2 - We study the measure theoretic properties of the complex exponential map E(z) = ez.An particular, we show that the equivalence relation generated by E is recurrent and that E has no quasi-conformal deformations. This enables us to give some information concerning Devaney's semi-conjugacy between E and the shift map on sequences of integers.

AB - We study the measure theoretic properties of the complex exponential map E(z) = ez.An particular, we show that the equivalence relation generated by E is recurrent and that E has no quasi-conformal deformations. This enables us to give some information concerning Devaney's semi-conjugacy between E and the shift map on sequences of integers.

UR - https://www.scopus.com/pages/publications/84934046138

U2 - 10.1017/S0143385700002984

DO - 10.1017/S0143385700002984

M3 - Article

AN - SCOPUS:84934046138

SN - 0143-3857

VL - 5

SP - 329

EP - 335

JO - Ergodic Theory and Dynamical Systems

JF - Ergodic Theory and Dynamical Systems

IS - 3

ER -

On the measurable dynamics of [formula omitted]

Abstract

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