Shigeki Akiyama - Böcker
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2 produkter
2 produkter
Del 2273 - Lecture Notes in Mathematics
Substitution and Tiling Dynamics: Introduction to Self-inducing Structures
CIRM Jean-Morlet Chair, Fall 2017
Häftad, Engelska, 2020
433 kr
Skickas inom 5-8 vardagar
This book presents a panorama of recent developments in the theory of tilings and related dynamical systems. It contains an expanded version of courses given in 2017 at the research school associated with the Jean-Morlet chair program.Tilings have been designed, used and studied for centuries in various contexts. This field grew significantly after the discovery of aperiodic self-similar tilings in the 60s, linked to the proof of the undecidability of the Domino problem, and was driven futher by Dan Shechtman's discovery of quasicrystals in 1984. Tiling problems establish a bridge between the mutually influential fields of geometry, dynamical systems, aperiodic order, computer science, number theory, algebra and logic. The main properties of tiling dynamical systems are covered, with expositions on recent results in self-similarity (and its generalizations, fusions rules and S-adic systems), algebraic developments connected to physics, games and undecidability questions, and the spectrum of substitution tilings.
Del 49 - Advanced Studies in Pure Mathematics
Probability And Number Theory -- Kanazawa 2005
Inbunden, Engelska, 2007
1 307 kr
Skickas inom 5-8 vardagar
This volume is the Proceedings of the international conference on Probability and Number Theory held at Kanazawa, Japan, in June 2005, and includes several survey articles on probabilistic number theory, and research papers on various recent topics around the border area between probability theory and number theory. This volume is useful for all researchers and graduate students who are interested in probability theory and number theory.Published by Mathematical Society of Japan and distributed by World Scientific Publishing Co. for all markets except North America