Isoperimetric profiles and random walks on some groups defined by piecewise actions

Saloff‐Coste, Laurent; Zheng, Tianyi

doi:10.1007/s00440-021-01067-z

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Example 34 (Pocket Extension) One Of the Simplest Classes Of...1

Commutator Computations1

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2021

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“…In the case when G is finite, G ⊛ = S(X * ) and this construction leads to interesting generating sets of the symmetric group. This finite case is discussed in [39]..…”

Section: Example 34 (Pocket Extension) One Of the Simplest Classes Of...mentioning

confidence: 99%

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Isoperimetric profiles and random walks on some groups defined by piecewise actions

Saloff-Coste-Costeb¹,

Zheng²

2020

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We study the isoperimetric and spectral profiles of certain families of finitely generated groups defined via actions on labelled Schreier graphs and simple gluing of such. In one of our simplest constructions-the pocket-extension of a group G-this leads to the study of certain finitely generated subgroups of the full permutation group S(G∪{ * }). Some sharp estimates are obtained while many challenging questions remain.This work is dedicated to the memory of Harry Kesten who, among his many outstanding contributions to mathematics, initiated the study of random walks on groups.

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“…In the case when G is finite, G ⊛ = S(X * ) and this construction leads to interesting generating sets of the symmetric group. This finite case is discussed in [39]..…”

Section: Example 34 (Pocket Extension) One Of the Simplest Classes Of...mentioning

confidence: 99%

“…With finite groups, this construction is interesting in so far as it provides a way to construct interesting generating sets for some alternating and symmetric groups. See [39].…”

Section: Commutator Computationsmentioning

confidence: 99%

Isoperimetric profiles and random walks on some groups defined by piecewise actions

Saloff-Coste-Costeb¹,

Zheng²

2020

Preprint

Self Cite

View full text Add to dashboard Cite

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Isoperimetric profiles and random walks on some groups defined by piecewise actions

Saloff‐Coste

Zheng

2021

Probab. Theory Relat. Fields

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Isoperimetric profiles and random walks on some groups defined by piecewise actions

Abstract: This work is dedicated to the memory of Harry Kesten who, among his many outstanding contributions to mathematics, initiated the study of random walks on groups

Cited by 2 publications

References 34 publications

Isoperimetric profiles and random walks on some groups defined by piecewise actions

Isoperimetric profiles and random walks on some groups defined by piecewise actions

Isoperimetric profiles and random walks on some groups defined by piecewise actions

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