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math.GR2020
Harmonic Functions on Compactly Generated Groups
Darren Creutz
A compactly generated group is noncompact if and only if it admits a nonconstant harmonic function (for some, equivalently for every, reasonable measure). This generalizes the know…
math.DS2020
Stabilizers of Stationary Actions of Lattices in Semisimple Groups
Darren Creutz
Every stationary action of a strongly irreducible lattice or commensurator of such a latiice in a general semisimple group, with at least one higher-rank connected factor, either h…