Volume 1A: Handbook of Dynamical Systems, Volume 1A
Edited By B. Hasselblatt, Tufts University, Department of Mathematics, Medford, MA 0215-5597 USA A. Katok, The Pensylvania State University, Department of Mathematics, University Park, PA 16802-6401, USA
Description Volumes 1A and 1B.
These volumes give a comprehensive survey of dynamics written by specialists in the various subfields of dynamical
systems. The presentation attains coherence through a major introductory survey by the editors that organizes the entire subject, and
by ample cross-references between individual surveys.
The volumes are a valuable resource for dynamicists seeking to acquaint themselves
with other specialties in the field, and to mathematicians active in other branches of mathematics who wish to learn about contemporary
ideas and results dynamics. Assuming only general mathematical knowledge the surveys lead the reader towards the current state of research
in dynamics.
Volume 1B will appear 2005.
Contents Volume 1A.
Principal structures (B. Hasselblatt, A. Katok).
Entropy, Isomorphism and Equivalence (J.-P. Thouvenot).
Hyperbolic
dynamics (B. Hasselblatt).
Invariant measures for hyperbolic dynamical systems (N. Chernov).
Periodic orbits and zeta functions
(M. Pollicott).
Hyperbolic dynamics and Riemannian geometry (G. Knieper).
Topological Methods in Dynamics (J. Franks, M. Misiurewicz).
One-Dimensional Maps (M. Jakobson, G. Ĺwiatek).
Ergodic theory and dynamics of G-spaces (R. Feres, A. Katok).
Symbolic
and algebraic dynamical systems (D. Lind, K. Schmidt).
Homogeneous flows, applications to number theory, and related topics (D. Kleinbock,
N. Shah, A. Starkov).
Random transformations in ergodic theory (A. Furman).
Rational billiards and flat structures (H. Masur,
S. Tabachnikov).
Variational methods for Hamiltonian systems (P.H. Rabinowitz).
Pseudoholomorphic curves and dynamics in three
dimensions (H. Hofer, K. Wysocki, E. Zehnder).
Bibliographic & ordering Information
Hardbound, 1232 pages, publication date: AUG-2002 ISBN: 0-444-82669-6
Imprint: JAI
Price and Ordering
Price: EUR 189 USD 215
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