By connecting dynamical systems and number theory, this graduate textbook on ergodic theory acts as an introduction to a highly active area of mathematics, where a variety of strands of research open up. The text explores various concepts in infinite ergodic theory, always using continued fractions and other number-theoretic dynamical systems as illustrative examples.
Contents:
Preface
Mathematical symbols
Number-theoretical dynamical systems
Basic ergodic theory
Renewal theory and α-sum-level sets
Infinite ergodic theory
Applications of infinite ergodic theory
Bibliography
Index
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Format PDF ● Pagini 204 ● ISBN 9783110439427 ● Editura De Gruyter ● Publicat 2016 ● Descărcabil 3 ori ● Valută EUR ● ID 6586230 ● Protecție împotriva copiilor Adobe DRM
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