Sébastien Ferenczi – författare
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2 produkter
2 produkter
Del 2213 - Lecture Notes in Mathematics
Ergodic Theory and Dynamical Systems in their Interactions with Arithmetics and Combinatorics
CIRM Jean-Morlet Chair, Fall 2016
Häftad, Engelska, 2018
745 kr
Skickas inom 10-15 vardagar
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 Möbius disjointness.
798 kr
Skickas inom 10-15 vardagar
A certain category of infinite strings of letters on a finite alphabet is presented here, chosen among the 'simplest' possible one may build, both because they are very deterministic and because they are built by simple rules (a letter is replaced by a word, a sequence is produced by iteration). These substitutive sequences have a surprisingly rich structure.The authors describe the concepts of quantity of natural interactions, with combinatorics on words, ergodic theory, linear algebra, spectral theory, geometry of tilings, theoretical computer science, diophantine approximation, trancendence, graph theory. This volume fulfils the need for a reference on the basic definitions and theorems, as well as for a state-of-the-art survey of the more difficult and unsolved problems.