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Title: Distribution of patches in tilings, tiling spaces and tiling dynamical systems (Natural extension of arithmetic algorithms and S-adic system)
Authors: Nagai, Yasushi
Keywords: 37B50
52C22
52C23
tiling
tiling dynamical system
Issue Date: Jul-2016
Publisher: Research Institute for Mathematical Sciences, Kyoto University
Journal title: 数理解析研究所講究録別冊 = RIMS Kokyuroku Bessatsu
Volume: B58
Start page: 33
End page: 59
Abstract: We introduce a basic theory of tilings, continuous hulls and tiling dynamical systems with detailed proofs. As a way to construct interesting tilings, tiling substitution is investigated. We put emphasis on two points: first, we introduce two topologies on the space of patches (and so the space of tilings) and describe the relation between them. Second, we discuss relations between properties of tilings and those of continuous hulls and tiling dynamical systems.
Description: "Natural extension of arithmetic algorithms and S-adic system". July 20~24, 2015. edited by Shigeki Akiyama. The papers presented in this volume of RIMS Kôkyûroku Bessatsu are in final form and refereed.
Rights: © 2016 by the Research Institute for Mathematical Sciences, Kyoto University. All rights reserved.
URI: http://hdl.handle.net/2433/243577
Appears in Collections:B58 Natural extension of arithmetic algorithms and S-adic system

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