Critical exponents of boomerang subgroups in the free group

2025/12/23 by Waltraud Lederle, Lederle, Waltraud · 1 citation
Mathematics · #Geometric and Algebraic Topology #Advanced Operator Algebra Research #Finite Group Theory Research

paper · doi:10.48550/arxiv.2512.20767

Abstract

We construct, for the free group acting on its Cayley tree, boomerang subgroups whose critical exponent is arbitrarily close to the critical exponent of a given finitely generated subgroup.

Citations

• Elementwise conservative actions and new constructions of boomerang subgroups
• Subgroups of a free group with every growth rate
• On the spectral radius of the non-backtracking matrix of the configuration model
• Stationary random subgroups in negative curvature
• Strong subgroup recurrence and the Nevo-Stuck-Zimmer theorem
• On the set of critical exponents of discrete groups acting on regular trees
• Critical exponents of invariant random subgroups in negative curvature
• Kesten's theorem for uniformly recurrent subgroups
• Invariant random subgroups of linear groups

Cited by

• Elementwise conservative actions and new constructions of boomerang subgroups

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