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Symbolic dynamics and its applications : American Mathematical Society, Short Course, January 4-5, 2002, San Diego, California / Susan G. Wiliams, editor.

American Mathematical Society eBooks Available online

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Format:
Book
Conference/Event
Contributor:
Williams, Susan G., 1953- editor.
American Mathematical Society. Short Course, organizer of meeting.
Conference Name:
American Mathematical Society Short Course on Symbolic Dynamics and its Applications (2002 : San Diego, Calif.)
Series:
Proceedings of symposia in applied mathematics ; Volume 60.
Proceedings of Symposia in Applied Mathematics ; Volume 60
Language:
English
Subjects (All):
Symbolic dynamics--Congresses.
Symbolic dynamics.
Physical Description:
1 online resource (166 p.)
Place of Publication:
Providence, Rhode Island : American Mathematical Society, 2004.
Language Note:
English
Summary:
Symbolic dynamics originated as a tool for analyzing dynamical systems and flows by discretizing space as well as time. The development of information theory gave impetus to the study of symbol sequences as objects in their own right. Today, symbolic dynamics has expanded to encompass multi-dimensional arrays of symbols and has found diverse applications both within and beyond mathematics. This volume is based on the AMS Short Course on Symbolic Dynamics and its Applications. It contains introductory articles on the fundamental ideas of the field and on some of its applications. Topics include the use of symbolic dynamics techniques in coding theory and in complex dynamics, the relation between the theory of multi-dimensional systems and the dynamics of tilings, and strong shift equivalence theory. Contributors to the volume are experts in the field and are clear expositors. The book is suitable for graduate students and research mathematicians interested in symbolic dynamics and its applications.
Contents:
""Contents""; ""Preface""; ""Introduction to symbolic dynamics""; ""Combining modulation codes and error correcting codes""; ""Complex dynamics and symbolic dynamics""; ""Multi-dimensional symbolic dynamics""; ""Symbolic dynamics and tilings of R[sup(d)]""; ""Strong shift equivalence theory""; ""Index""; ""A""; ""B""; ""C""; ""D""; ""E""; ""F""; ""G""; ""H""; ""I""; ""J""; ""L""; ""M""; ""N""; ""O""; ""P""; ""Q""; ""R""; ""S""; ""T""; ""U""; ""V""; ""W""; ""Z""
Notes:
Description based upon print version of record.
Includes bibliographical references at the end of each chapters and index.
Description based on print version record.
ISBN:
0-8218-9275-4

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