Growth of balls in the universal cover of surfaces and graphs

DOI10.1090/S0002-9947-2015-06189-3zbMath1316.53050arXiv1304.3567WikidataQ125975240 ScholiaQ125975240MaRDI QIDQ5251599

Steve Karam

Publication date: 20 May 2015

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1304.3567

zbMATH Keywords

volume growthuniform lower bounds

Mathematics Subject Classification ID

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

Related Items (4)

Notes on the values of volume entropy of graphs ⋮ Magnitude and Topological Entropy of Digraphs ⋮ Short homotopically independent loops on surfaces ⋮ Macroscopic Schoen conjecture for manifolds with nonzero simplicial volume

Cites Work

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• Short loop decompositions of surfaces and the geometry of Jacobians
• Volumes of balls in large Riemannian manifolds
• Systolic invariants of groups and 2-complexes via Grushko decomposition
• Filling Riemannian manifolds
• Topological entropy for geodesic flows
• Entropy and rigidity of locally symmetric spaces of strictly negative curvature
• The Patterson-Sullivan embedding and minimal volume entropy for outer space.
• Minimal volume entropy for graphs
• Girth of sparse graphs
• 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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