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[Johannes Kellendonk] Mathematics of Aperiodic Order(pdf){Zzzzz}[BЯ]

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Description

 							
  
  
  
  What is
order that is not based on simple repetition, that is, periodicity? How must atoms be arranged in a material so that it
diffracts like a quasicrystal? How can we describe aperiodically ordered systems mathematically?
  
 
Originally triggered by the – later Nobel prize-winning – discovery of quasicrystals, the investigation of
aperiodic order has since become a well-established and rapidly evolving field of mathematical research with close ties
to a surprising variety of branches of mathematics and physics.
  
  This book offers an overview of the state
of the art in the field of aperiodic order, presented in carefully selected authoritative surveys. It is intended for
non-experts with a general background in mathematics, theoretical physics or computer science, and offers a highly
accessible source of first-hand information for all those interested in this rich and exciting field. Topics covered
include the mathematical theory of diffraction, the dynamical systems of tilings or Delone sets, their cohomology and
non-commutative geometry, the Pisot substitution conjecture, aperiodic Schrödinger operators, and connections to
arithmetic number theory.
  
  Product Description
  From the Back Cover
  
  What is
order that is not based on simple repetition, that is, periodicity? How must atoms be arranged in a material so that it
diffracts like a quasicrystal? How can we describe aperiodically ordered systems mathematically?
  
 
Originally triggered by the – later Nobel prize-winning – discovery of quasicrystals, the investigation of
aperiodic order has since become a well-established and rapidly evolving field of mathematical research with close ties
to a surprising variety of branches of mathematics and physics.
  
  This book offers an overview of the state
of the art in the field of aperiodic order, presented in carefully selected authoritative surveys. It is intended for
non-experts with a general background in mathematics, theoretical physics or computer science, and offers a highly
accessible source of first-hand information for all those interested in this rich and exciting field. Topics covered
include the mathematical theory of diffraction, the dynamical systems of tilings or Delone sets, their cohomology and
non-commutative geometry, the Pisot substitution conjecture, aperiodic Schrödinger operators, and connections to
arithmetic number theory.
  
  Publisher: Birkhäuser; 2015 edition (14 July
2015)
  Language: English
  ISBN-10: 3034809026
  ISBN-13: 978-3034809023
  
  
 
 						

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