000			04247nam a22006255i 4500
001			978-3-0348-0903-0
003			DE-He213
005			20180115171557.0
007			cr nn 008mamaa
008			150605s2015 sz | s |||| 0|eng d
020			_a9783034809030 _9978-3-0348-0903-0
024	7		_a10.1007/978-3-0348-0903-0 _2doi
050		4	_aQA639.5-640.7
050		4	_aQA640.7-640.77
072		7	_aPBMW _2bicssc
072		7	_aPBD _2bicssc
072		7	_aMAT012020 _2bisacsh
072		7	_aMAT008000 _2bisacsh
082	0	4	_a516.1 _223
245	1	0	_aMathematics of Aperiodic Order _h[electronic resource] / _cedited by Johannes Kellendonk, Daniel Lenz, Jean Savinien.
264		1	_aBasel : _bSpringer Basel : _bImprint: Birkhäuser, _c2015.
300			_aXII, 428 p. 59 illus., 17 illus. in color. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aProgress in Mathematics, _x0743-1643 ; _v309
505	0		_aPreface -- 1.M. Baake, M. Birkner and U. Grimm: Non-Periodic Systems with Continuous Diffraction Measures -- 2.S. Akiyama, M. Barge, V. Berthé, J.-Y. Lee and A. Siegel: On the Pisot Substitution Conjecture -- 3. L. Sadun: Cohomology of Hierarchical Tilings -- 4.J. Hunton: Spaces of Projection Method Patterns and their Cohomology -- 5.J.-B. Aujogue, M. Barge, J. Kellendonk, D. Lenz: Equicontinuous Factors, Proximality and Ellis Semigroup for Delone Sets -- 6.J. Aliste-Prieto, D. Coronel, M.I. Cortez, F. Durand and S. Petite: Linearly Repetitive Delone Sets -- 7.N. Priebe Frank: Tilings with Infinite Local Complexity -- 8. A.Julien, J. Kellendonk and J. Savinien: On the Noncommutative Geometry of Tilings -- 9.D. Damanik, M. Embree and A. Gorodetski: Spectral Properties of Schrödinger Operators Arising in the Study of Quasicrystals -- 10.S. Puzynina and L.Q. Zamboni: Additive Properties of Sets and Substitutive Dynamics -- 11.J.V. Bellissard: Delone Sets and Material Science: a Program.
520			_aWhat 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.
650		0	_aMathematics.
650		0	_aDynamics.
650		0	_aErgodic theory.
650		0	_aGlobal analysis (Mathematics).
650		0	_aManifolds (Mathematics).
650		0	_aOperator theory.
650		0	_aConvex geometry.
650		0	_aDiscrete geometry.
650		0	_aNumber theory.
650	1	4	_aMathematics.
650	2	4	_aConvex and Discrete Geometry.
650	2	4	_aDynamical Systems and Ergodic Theory.
650	2	4	_aOperator Theory.
650	2	4	_aNumber Theory.
650	2	4	_aGlobal Analysis and Analysis on Manifolds.
700	1		_aKellendonk, Johannes. _eeditor.
700	1		_aLenz, Daniel. _eeditor.
700	1		_aSavinien, Jean. _eeditor.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9783034809023
830		0	_aProgress in Mathematics, _x0743-1643 ; _v309
856	4	0	_uhttp://dx.doi.org/10.1007/978-3-0348-0903-0
912			_aZDB-2-SMA
999			_c371216 _d371216