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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…