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Recurrence in topological dynamics : Furstenberg families and Ellis actions / Ethan Akin.
Math/Physics/Astronomy Library QA611.5 .A38 1997
Available
- Format:
- Book
- Author/Creator:
- Akin, Ethan, 1946-
- Series:
- University series in mathematics (Plenum Press)
- The university series in mathematics
- Language:
- English
- Subjects (All):
- Topological dynamics.
- Point mappings (Mathematics).
- Physical Description:
- ix, 265 pages : illustrations ; 24 cm.
- Place of Publication:
- New York : Plenum Press, [1997]
- Summary:
- This groundbreaking volume is the first to elaborate the theory of set families as a tool for studying the phenomenon of recurrence. The theory is implicit in such seminal works as Hillel Furstenberg's Recurrence in Ergodic Theory and Combinational Number Theory , but Ethan Akin's study elaborates it in detail, defining such elements of theory as: open families of special subsets the unification of several ideas associated with transitivity, ergodicity, and mixing the Ellis theory of enveloping semigroups for compact dynamical systems and new notions of equicontinuity, distality, and rigidity.
- Notes:
- Includes bibliographical references (pages 261-262) and index.
- ISBN:
- 0306455501
- OCLC:
- 37043993
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