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

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書目名稱Mathematics of Aperiodic Order影響因子(影響力)




書目名稱Mathematics of Aperiodic Order影響因子(影響力)學科排名




書目名稱Mathematics of Aperiodic Order網(wǎng)絡公開度




書目名稱Mathematics of Aperiodic Order網(wǎng)絡公開度學科排名




書目名稱Mathematics of Aperiodic Order被引頻次




書目名稱Mathematics of Aperiodic Order被引頻次學科排名




書目名稱Mathematics of Aperiodic Order年度引用




書目名稱Mathematics of Aperiodic Order年度引用學科排名




書目名稱Mathematics of Aperiodic Order讀者反饋




書目名稱Mathematics of Aperiodic Order讀者反饋學科排名

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Non-Periodic Systems with Continuous Diffraction Measures,e in the traditional approach. We furthermore introduce a ‘Palm-type’ measure for general complex-valued random measures that are stationary and ergodic, and relate its intensity measure to the autocorrelation measure.

extinguish

On the Pisot Substitution Conjecture,hich the Pisot Substitution Conjecture has been verified and present algorithmic procedures for checking pure discrete spectrum. We conclude with a discussion of possible extensions to higher dimensions.

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Tilings with Infinite Local Complexity,s and complexity functions. Three examples with infinite local complexity of distinctly different origin are fully analyzed using the tools and techniques contained in this chapter. We conclude with some important classes of open questions about tiling spaces with infinite local complexity.

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Pigeon

0743-1643 ract mathematical theories.Following D. Shechtman being awar.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 tr

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On the Pisot Substitution Conjecture,mical systems arising from substitutions should have pure discrete dynamical spectrum. We describe the various contexts (symbolic, geometrical, arithmetical) in which substitution dynamical systems arise and review the relevant properties of these systems. The Pisot Substitution Conjecture is stated

Anguish

Cohomology of Hierarchical Tilings,ompute these cohomologies. We then consider the uses of tiling cohomology to distinguish spaces, to understand deformations, and to help understand maps between tiling spaces. The emphasis of this chapter is on substitution tilings and their generalizations, but the underlying ideas apply equally we