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Discrete geometric analysis. (English) Zbl 1346.05003

MSJ Memoirs 34. Tokyo: Mathematical Society of Japan (ISBN 978-4-86497-035-8/pbk). xi, 157 p. (2016).

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From the preface: This is a volume of lecture notes based on three series of lectures given by three visiting professors of RIMS, Kyoto University during the year long project research “Discrete Geometric Analysis” in the Japanese academic year 2012. The aim of the project research was to make comprehensive research on topics related to discreteness in geometry, analysis and optimization. The goal is to expand and make a new stream of discrete geometric analysis by exchanging ideas in each area. The main themes during the project and also of this volume are threefold: i) Discrete probability theory and analysis on graphs, ii) Discrete convex analysis and its applications, iii) Geometric group theory.
The articles of this volume will be reviewed individually.
Indexed articles:
Barlow, Martin T., Loop erased walks and uniform spanning trees, 1-32 [Zbl 1343.05139]
Jordán, Tibor, Combinatorial rigidity. Graphs and matroids in the theory of rigid frameworks, 33-112 [Zbl 1348.52018]
Zuk, Andrzej, Analysis and geometry on groups, 113-157 [Zbl 1357.22011]

MSC:

05-06 Proceedings, conferences, collections, etc. pertaining to combinatorics
60G57 Random measures
52C25 Rigidity and flexibility of structures (aspects of discrete geometry)
20F65 Geometric group theory
05C25 Graphs and abstract algebra (groups, rings, fields, etc.)
43A07 Means on groups, semigroups, etc.; amenable groups