Titlebook: Mathematics of Aperiodic Order; Johannes Kellendonk,Daniel Lenz,Jean Savinien Book 2015 Springer Basel 2015 Pisot substitution conjecture.

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有偏见

Tilings with Infinite Local Complexity,nfinitely many possible adjacencies, infinitely many shapes, or infinitely many labels. Our main requirement is that the set of tiles used to construct tilings should be compact..We consider tilings constructed in a number of ways, including the hierarchical methods of self-similarity, substitution,

FLIRT

graphy

Additive Properties of Sets and Substitutive Dynamics,tutions of Pisot type. Central sets, first introduced by Furstenberg using notions from topological dynamics, constitute a special class of subsets of N possessing strong combinatorial properties: Each central set contains arbitrarily long arithmetic progressions, and solutions to all partition regu

胆大

Gum-Disease

Mathematics of Aperiodic Order978-3-0348-0903-0Series ISSN 0743-1643 Series E-ISSN 2296-505X

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柏树

Progress in Mathematicshttp://image.papertrans.cn/m/image/626925.jpg

有常识

Spaces of Projection Method Patterns and their Cohomology,We explain from the basics why the Čech cohomology of a tiling space can be realised in terms of group cohomology, and use this to explain how to compute the cohomology of a projection pattern.

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Equicontinuous Factors, Proximality and Ellis Semigroup for Delone Sets,We discuss the application of various concepts from the theory of topological dynamical systems to Delone sets and tilings. In particular, we consider the maximal equicontinuous factor of a Delone dynamical system, the proximality relation and the enveloping semigroup of such systems.