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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… Click to show full abstract
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 $${\mathbb {S}}(G\cup \{*\})$$ S ( G ∪ { ∗ } ) . Some sharp estimates are obtained while many challenging questions remain.
Keywords:
groups defined;
isoperimetric profiles;
profiles random;
defined piecewise;
walks groups;
random walks
Journal Title: Probability Theory and Related Fields
Year Published: 2021
Link to full text (if available)
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Journal Title: Probability Theory and Related Fields
Year Published: 2021
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!