Waltraud Lederle

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math.GR2026

Compact Invariant Random Subgroups

Tal Cohen, Helge GlÃ¶ckner, Gil Goffer +1

We study ergodic invariant random subgroups that give full measure to the subset of compact subgroups. We show that in real Lie groups, compactly generated $p$ -adic Lie groups, loc…

math.GR2025

Critical exponents of boomerang subgroups in the free group

Waltraud Lederle

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…

math.GR2025

Elementwise conservative actions and new constructions of boomerang subgroups

Yair Glasner, Tobias Hartnick, Waltraud Lederle

We show that countable non-abelian free groups admit uncountably many mutually singular elementwise conservative non-singular random subgroups, which are supported on infinite subg…

math.GR2024

Strong subgroup recurrence and the Nevo-Stuck-Zimmer theorem

Yair Glasner, Waltraud Lederle

Let $I^$ be a countable group and $Sub (I^)$ its Chabauty space, namely the compact $I^$ -space consisting of all subgroups of $I^$ . We call a subgroup $Î\in \mathrm{Sub}(Î…

math.GR2024

On compact uniformly recurrent subgroups

Pierre-Emmanuel Caprace, Gil Goffer, Waltraud Lederle +1

Let a group $I^$ act on a paracompact, locally compact, Hausdorff space $M$ by homeomorphisms and let $2^{M}$ denote the set of closed subsets of $M$ . We endow $2^{M}$ with the Chabaut…