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math.DS2018
Maximally highly proximal flows
Andy Zucker
For a Polish group, we consider -flows which either contain a comeager orbit or have all orbits meager. We single out a class of flows, the maximally highly proximal (MHP) f…
math.DS2018
Bernoulli disjointness and maximally almost periodic groups
Andy Zucker
We show that any discrete group containing an infinite, normal, maximally almost periodic subgroup has the Bernoulli Disjointness Property, or BDJ. Also, any group containing enoug…
math.DS2018
Fraïssé structures and a conjecture of Furstenberg
Dana Bartošová, Andy Zucker
We study problems concerning the Samuel compactification of the automorphism group of a countable first-order structure. A key motivating question is a problem of Furstenberg and a…