Recurrence in Topological Dynamics

¸±±êÌâ: Furstenberg Families and Ellis Actions (University Series in Mathematics)

ISBN: 9780306455506

³ö°æÉç: Springer

³ö°æÄê: 1997-07-31

Ò³Êý: 276

¶¨¼Û: USD 179.00

×°Ö¡: Hardcover

ÄÚÈݼò½é

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.