3 papers
math.GR2026
Compact Invariant Random Subgroups
Tal Cohen, Helge Glöckner, 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 -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…