Discrete Geometric Analysis

Discrete Geometric Analysis

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This is a volume of lecture notes based on three series of lectures given by visiting professors of RIMS, Kyoto University during the year-long project "Discrete Geometric Analysis," which took place in the Japanese academic year 20122013. The aim of the project was to make comprehensive research on topics related to discreteness in geometry, analysis and optimization. Discrete geometric analysis is a hybrid field of several traditional disciplines, including graph theory, geometry, discrete group theory, and probability. The name of the area was coined by Toshikazu Sunada, and since being int...