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Ergodic Theory and Dynamical Systems in their Interactions with Arithmetics and Combinatorics : CIRM Jean-Morlet Chair, Fall 2016 - Author

Ergodic Theory and Dynamical Systems in their Interactions with Arithmetics and Combinatorics

CIRM Jean-Morlet Chair, Fall 2016

By: Author

eText | 15 June 2018

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This book concentrates on the modern theory of dynamical systems and its interactions with number theory and combinatorics. The greater part begins with a course in analytic number theory and focuses on its links with ergodic theory, presenting an exhaustive account of recent research on Sarnak's conjecture on Mobius disjointness. Selected topics involving more traditional connections between number theory and dynamics are also presented, including equidistribution, homogenous dynamics, and Lagrange and Markov spectra. In addition, some dynamical and number theoretical aspects of aperiodic order, some algebraic systems, and a recent development concerning tame systems are described.

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Non-FictionMathematicsCalculus & Mathematical AnalysisApplied MathematicsNonlinear ScienceNumber TheoryCombinatorics & Graph TheoryGeometryOptimisationLinear ProgrammingReference, Information & Interdisciplinary SubjectsResearch & Information
Information theoryCybernetics & Systems TheoryDiscrete MathematicsLibrary & Info SciencesLibrary & Information Services

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