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Titlebook: Beyond Quasicrystals; Les Houches, March 7 Françoise Axel,Denis Gratias Conference proceedings 1995 Springer-Verlag Berlin Heidelberg 1995

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期刊全称Beyond Quasicrystals
期刊简称Les Houches, March 7
影响因子2023Françoise Axel,Denis Gratias
视频video
学科分类Centre de Physique des Houches
图书封面Titlebook: Beyond Quasicrystals; Les Houches, March 7 Françoise Axel,Denis Gratias Conference proceedings 1995 Springer-Verlag Berlin Heidelberg 1995
影响因子This book is the collection of most of the written versions of the Courses given at the Winter School "Beyond Quasicrystals" in Les Houches (March 7-18, 1994). The School gathered lecturers and participants from all over the world and was prepared in the spirit of a general effort to promote theoretical and experimental interdisciplinary communication between mathematicians, theoretical and experimental physicists on the topic of the nature of geometric order in solids beyond standard periodicity and quasi periodicity. The overall structure of the book reflects the wish of the editors to pose this fundamental question of geometric order in solids from both the experimental and theoretical point of view. The first part is devoted more specifically to quasicrystals. These materials were the common starting point of most of the audience and present a first concrete example of a non-trivial geometric order. We chose to focus on a few fundamental aspects of quasicrystals related to hidden symmetries in solids which are not easily found in standard textbooks on the topic, not to reach an exhaustive survey which is already available elsewhere.
Pindex Conference proceedings 1995
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Satellite Capabilities and Orbitsentanglement instead of singularity, since we will encounter defects which are not singular. The aim of a general theory of defects is to associate topological entanglements to the set M of microscopic states of matter, and to classify them.
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https://doi.org/10.1007/978-3-319-54036-8 the behaviour of the particle is whether its walk is .: i.e., it returns to the origin infinitely often (with probability one), or ., i.e., eventually the walk will leave any ball around the origin (with probability one). The answer has already been given by Polya in 1921: if . ≤ 2 then the walk is recurrent, if . ≥ 3 then it is transient [25].
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Matching Rules and Quasiperiodicity: the Octagonal Tilings able to propagate throughout the structure. This point of view deals with the existence of local constraints which would enforce the quasiperiodic order: these are the so-called “local rules”, or “matching rules” in tiling language.
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Conference proceedings 19958, 1994). The School gathered lecturers and participants from all over the world and was prepared in the spirit of a general effort to promote theoretical and experimental interdisciplinary communication between mathematicians, theoretical and experimental physicists on the topic of the nature of ge
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