On Isoperimetric Profiles of Finitely Generated Groups

By A. Erschler. 2003

84 citations recorded by the source corpus.

Subfields: Discrete Mathematics and Combinatorics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/2f759727b3ad29bf526b93cfecf7f3c664f4fb10

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Discrete Mathematics and Combinatorics

1. Misha Gromov
2. A. Erschler
3. L. Saloff‐Coste
4. Yehuda Shalom
5. C. Pittet
6. Volodymyr V. Nekrashevych
7. Laurent Bartholdi
8. Rostislav I. Grigorchuk

In Geometry and Topology

1. Rostislav I. Grigorchuk
2. A. Erschler
3. Volodymyr V. Nekrashevych
4. Laurent Bartholdi
5. L. Saloff‐Coste
6. Misha Gromov
7. Yehuda Shalom
8. C. Pittet

Citations in the corpus

• Entropy and isoperimetry for linear and non-linear group actions (2008, methodology): “Vershik in the late 1960s and confirmed in [27] and [9].”
• Harmonic analysis, cohomology, and the large-scale geometry of amenable groups (2004, result): “5 (this follows also from recent results of Erschler [20]).”
• On amenability of automata groups (2008, background): “where αk = k/(k + 2), which were found in [PSC99] (also see [Ers06]) and [ Ers03 ], respectively.”
• Random walks on finite rank solvable groups (2003, methodology): “For the upper bound, see [ 10 ] and apply the Nash inequality which involves the isoperimetric function as explained in [19] or apply [6, Prop.”
• Poisson-Furstenberg Boundaries, Large-scale Geometry and Growth of Groups (2011, background): “The question of Vershik is answered in [29], where we prove the following more general”