大葉大學圖書館 |

Mathematics of aperiodic order[electronic resource] /

纪录类型:	书目-语言数据,印刷品 : Monograph/item
[NT 15000414] null:	516.11
[NT 47271] Title/Author:	Mathematics of aperiodic order/ edited by Johannes Kellendonk, Daniel Lenz, Jean Savinien.
[NT 51406] other author:	Kellendonk, Johannes.
出版者:	Basel : : Springer Basel :, 2015.
面页册数:	xii, 428 p. : : ill., digital ;; 24 cm.
Contained By:	Springer eBooks
标题:	Aperiodic tilings.
标题:	Aperiodicity.
标题:	Mathematics.
标题:	Convex and Discrete Geometry.
标题:	Dynamical Systems and Ergodic Theory.
标题:	Operator Theory.
标题:	Number Theory.
标题:	Global Analysis and Analysis on Manifolds.
ISBN:	9783034809030 (electronic bk.)
ISBN:	9783034809023 (paper)
[NT 15000228] null:	Preface -- 1.M. Baake, M. Birkner and U. Grimm: Non-Periodic Systems with Continuous Diffraction Measures -- 2.S. Akiyama, M. Barge, V. Berthe, 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 Schrodinger 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.
[NT 15000229] null:	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 Schrodinger operators, and connections to arithmetic number theory.
电子资源:	http://dx.doi.org/10.1007/978-3-0348-0903-0

Mathematics of aperiodic order[electronic resource] /
Mathematics of aperiodic order[electronic resource] /edited by Johannes Kellendonk, Daniel Lenz, Jean Savinien. - Basel :Springer Basel :2015. - xii, 428 p. :ill., digital ;24 cm. - Progress in mathematics,v.3090743-1643 ;. - Progress in mathematics ;v.295..

Preface -- 1.M. Baake, M. Birkner and U. Grimm: Non-Periodic Systems with Continuous Diffraction Measures -- 2.S. Akiyama, M. Barge, V. Berthe, 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 Schrodinger 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.

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 Schrodinger operators, and connections to arithmetic number theory.

ISBN: 9783034809030 (electronic bk.)

Standard No.: 10.1007/978-3-0348-0903-0doiSubjects--Topical Terms:

627578
Aperiodic tilings.

LC Class. No.: QA640.72

Dewey Class. No.: 516.11

Mathematics of aperiodic order[electronic resource] /
LDR:03239nam a2200349 a 4500 001 439533
003 DE-He213
005 20160122091732.0
006 m d
007 cr nn 008maaau
008 160322s2015 sz s 0 eng d
020 $a 9783034809030 (electronic bk.)
020 $a 9783034809023 (paper)
024 7 $a 10.1007/978-3-0348-0903-0 $2 doi
035 $a 978-3-0348-0903-0
040 $a GP $c GP
041 0 $a eng
050 4 $a QA640.72
072 7 $a PBMW $2 bicssc
072 7 $a PBD $2 bicssc
072 7 $a MAT012020 $2 bisacsh
072 7 $a MAT008000 $2 bisacsh
082 0 4 $a 516.11 $2 23
090 $a QA640.72 $b .M426 2015
245 0 0 $a Mathematics of aperiodic order $h [electronic resource] / $c edited by Johannes Kellendonk, Daniel Lenz, Jean Savinien.
260 $a Basel : $b Springer Basel : $b Imprint: Birkhauser, $c 2015.
300 $a xii, 428 p. : $b ill., digital ; $c 24 cm.
490 1 $a Progress in mathematics, $x 0743-1643 ; $v v.309
505 0 $a Preface -- 1.M. Baake, M. Birkner and U. Grimm: Non-Periodic Systems with Continuous Diffraction Measures -- 2.S. Akiyama, M. Barge, V. Berthe, 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 Schrodinger 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 $a 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 Schrodinger operators, and connections to arithmetic number theory.
650 0 $a Aperiodic tilings. $3 627578
650 0 $a Aperiodicity. $3 627579
650 1 4 $a Mathematics. $3 172349
650 2 4 $a Convex and Discrete Geometry. $3 470189
650 2 4 $a Dynamical Systems and Ergodic Theory. $3 464934
650 2 4 $a Operator Theory. $3 464906
650 2 4 $a Number Theory. $3 464120
650 2 4 $a Global Analysis and Analysis on Manifolds. $3 464933
700 1 $a Kellendonk, Johannes. $3 627575
700 1 $a Lenz, Daniel. $3 627576
700 1 $a Savinien, Jean. $3 627577
710 2 $a SpringerLink (Online service) $3 463450
773 0 $t Springer eBooks
830 0 $a Progress in mathematics ; $v v.295. $3 464947
856 4 0 $u http://dx.doi.org/10.1007/978-3-0348-0903-0
950 $a Mathematics and Statistics (Springer-11649)