Geodesic
Entropy and isoperimetry for linear and non-linear group actions
Misha Gromov1
1Institut des Hautes Études Scientifiques, Bures-Sur-Yvette, France
Groups, geometry, and dynamics, Tome 2 (2008) no. 4, pp. 499-593

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DOI

We prove inequalities of isoperimetric type for groups acting on linear spaces and discuss related geometric and combinatorial problems, where we use the Boltzmann entropy to keep track of the cardinalities (and/or measures) of sets and of the dimensions of linear spaces.
DOI : 10.4171/ggd/48
Classification : 20-XX, 51-XX, 52-XX, 00-XX
Mots-clés : Isoperimetric inequalities, amenable groups, group algebras, entropy

Misha Gromov  1

1 Institut des Hautes Études Scientifiques, Bures-Sur-Yvette, France 
Misha Gromov. Entropy and isoperimetry for linear and non-linear group actions. Groups, geometry, and dynamics, Tome 2 (2008) no. 4, pp. 499-593. doi: 10.4171/ggd/48
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     title = {Entropy and isoperimetry for linear and non-linear group actions},
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     year = {2008},
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     number = {4},
     doi = {10.4171/ggd/48},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/48/}
}
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