Global Theory of Dynamical Systems Proceedings of an International C
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819 Global Theory of Dynamical Systems Proceedings of an International Conference Held at Northwestern University, Evanston, Illinois, June 18-22, 1979
Edited by Z. Nitecki and C. Robinson
Springer-verlag Berlin Heidelberg New York 1980
Editors Zbigniew Nitecki Department of Mathematics, Tufts University Medford, MA 02155 USA Clark Robinson Department of Mathematics, Northwestern University Evanston, IL 60201 USA
AMS Subject Classifications (1980): 28 D xx, 34 C xx, 34 D xx, 54 H 20, 58 Fxx, 90Dxx ISBN 3-540-10236-1 Springer-Verlag Berlin Heidelberg NewYork ISBN 0-387-10236-1 Springer-Verlag NewYork Heidelberg Berlin This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically those of translation, reprinting, re-use of illustrations, broadcasting, reproduction by photocopying machine or similar means, and storage in data banks. Under § 54 of the German Copyright Law where copies are made for other than private use, a fee is payable to the publisher, the amount of the fee to be determined by agreement with the publisher. © by Springer-Verlag Berlin Heidelberg 1980 Printed in Germany Printing and binding: Beltz Offsetdruck, Hemsbach/Bergstr. 214113140-543210
In Memoriam Rufus Bowen (February 23, 1947 - July 30, 1978) From his first paper on dynamical O. E. Lanford,
until his sudden,
systems,
was a leading figure in the development His earliest papers on topological underlying behavior.
systems
of dynamical
ful and comprehensive dynamic formalism"
character-
apsects of their stochastic he developed
theory of metric properties
and contributed
set the
relating geometric
to various
Together with Sinai and Ruelle,
axiom A systems,
systems theory.
entropy and subshifts
theme for much of his work,
istics of dynamical
written in 1968 with
tragic death in 1978, Rufus Bowen
of basic sets for
to the development
for the study of such systems.
the beauti-
of the "thermoBowen gave an
integrated exposition of this theory in his first book,
Equilibrium
States and the Ergodic Theory of Anosov Diffeomorphisms
(Springer
Lecture Notes in _Math. vol. 470, 1975).
His contributions
mical systems
the entropy conjecture,
touched diverse problems:
zeta functions, dynamics
maps of the interval,
chain-recurrence,
and ergodic theory for axiom A systems.
to dyna-
symbolic
Early in 1978,
working with C. Series, he began to study the ergodic theory of Fuchsian groups. (CBMS Regional
His second monograph,
Conference
concise but incisive theory in 1977. to be included de I'I.H.E.S.
introduction
spoken,
is a systems
of Bowen's prolific work is
in a dedicatory volume of the Publications
~thematiques
(volume 50, 1980).
in the late 1960's,
colleagues,
35, 1978)
to the state of dynamical
A complete bibliography
Those of us who knew Rufus, Berkeley
On Axiom A Diffeomorphisms
Series in Math., vol.
as (fellow)
graduate student at
and then as one of our most brilliant
remember a tall figure with a mass of red hair,
aler
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