Limit formulas for metric measure invariants and phase transition property

DOI10.1007/s00209-015-1447-2zbMath1321.53048arXiv1402.6831OpenAlexW2136606945MaRDI QIDQ2516469

Takashi Shioya, Ryunosuke Ozawa

Publication date: 3 August 2015

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.6831

zbMATH Keywords

pyramiddissipationseparation distanceconcentration of measuremetric measure spaceobservable diameter

Mathematics Subject Classification ID

Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23)

Related Items (7)

Concentration function for pyramid and quantum metric measure space ⋮ Metric measure geometry: An approach to high-dimensional and infinite-dimensional spaces ⋮ Invariants for Gromov's pyramids and their applications ⋮ Convergence of metric transformed spaces ⋮ High-dimensional metric-measure limit of Stiefel and flag manifolds ⋮ Stability of RCD condition under concentration topology ⋮ Estimate of observable diameter of \(l_p\)-product spaces

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• Metric measure limits of spheres and complex projective spaces
• Metric structures for Riemannian and non-Riemannian spaces. Transl. from the French by Sean Michael Bates. With appendices by M. Katz, P. Pansu, and S. Semmes. Edited by J. LaFontaine and P. Pansu

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