A short guide to pure point diffraction in cut-and-project sets
نویسندگان
چکیده
منابع مشابه
Pure Point Diffraction and Cut and Project Schemes for Measures: the Smooth Case
We present cut and project formalism based on measures and continuous weight functions of sufficiently fast decay. The emerging measures are strongly almost periodic. The corresponding dynamical systems are compact groups and homomorphic images of the underlying torus. In particular, they are strictly ergodic with pure point spectrum and continuous eigenfunctions. Their diffraction can be calcu...
متن کاملAperiodic Order and Pure Point Diffraction
We give a leisurely introduction into mathematical diffraction theory with a focus on pure point diffraction. In particular, we discuss various characterisations of pure point diffraction and common models arising from cut and project schemes. We finish with a list of open problems.
متن کاملWeighted Dirac combs with pure point diffraction
A class of translation bounded complex measures, which have the form of weighted Dirac combs, on locally compact Abelian groups is investigated. Given such a Dirac comb, we are interested in its diffraction spectrum which emerges as the Fourier transform of the autocorrelation measure. We present a sufficient set of conditions to ensure that the diffraction measure is a pure point measure. Simu...
متن کاملfeatures of short story in translated and non-translated literature: a polysystemic perspective
ترجمه متون ادبی در دنیای امروز از اهمیت ویژه ای برخوردار است. فرهنگ های مختلف با استفاده از متون ادبی ملل و فرهنگ های دیگر سعی در غنی کردن فرهنگ و ادبیات کشور خود دارند. کشور ما نیز از این قاعده مستثنی نیست. در ایران، ترجمه متون ادبی اروپائی که با دوران مشروطه ایرانی آغاز می شود موجب تغییرات اساسی در فرهنگ، شیوه زندگی و تفکر ایرانیان شده است. در این دوران نه تنها در امورات سیاسی و فکری کشور تغی...
15 صفحه اولPure Point Diffraction Implies Zero Entropy for Delone Sets with Uniform Cluster Frequencies
Delone sets of finite local complexity in Euclidean space are investigated. We show that such a set has patch counting and topological entropy 0 if it has uniform cluster frequencies and is pure point diffractive. We also note that the patch counting entropy vanishes whenever the repetitivity function satisfies a certain growth restriction. 2000 AMS Subject Classification: 37A35, 37B40, 52C23
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Physics A: Mathematical and Theoretical
سال: 2017
ISSN: 1751-8113,1751-8121
DOI: 10.1088/1751-8121/aa5d44