Entropy and isoperimetry for linear and non-linear group actions.

DOI10.4171/GGD/48zbMath1280.20043OpenAlexW2016790029MaRDI QIDQ955217

Mikhael Gromov

Publication date: 19 November 2008

Published in: Groups, Geometry, and Dynamics (Search for Journal in Brave)

Full work available at URL: http://www.ems-ph.org/journals/show_pdf.php?issn=1661-7207&vol=2&iss=4&rank=2

zbMATH Keywords

entropygroup algebraspolynomial growthwreath productsfinitely generated groupsisoperimetric inequalitiesexponential growthgrowth functionsFølner setsamenable groupsisoperimetric profiles

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) Metric geometry (51F99) Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Extensions, wreath products, and other compositions of groups (20E22) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Other problems of combinatorial convexity (52A37) Means on groups, semigroups, etc.; amenable groups (43A07)

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Cites Work

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