26 citations · 55 across the 25 of their papers we have counts for
4 papers · 2 filters
Finite ergodic index and asymmetry for infinite measure preserving actions
Alexandre I. Danilenko
Given and an Abelian countable discrete group with elements of infinite order, we construct rigid funny rank-one infinite measure preserving (i.m.p.) -actions of…
Directional recurrence and directional rigidity for infinite measure preserving actions of nilpotent lattices
Alexandre I. Danilenko
Let be a lattice in a simply connected nilpotent Lie group . Given an infinite measure preserving action of and a "direction" in (i.e. an element of the proj…
Simple mixing actions with uncountably many prime factors
Alexandre I. Danilenko, Anton V. Solomko
Via (C,F)-construction we produce a 2-fold simple mixing transformation which has uncountably many non-trivial proper factors and all of them are prime.
Actions of finite rank: weak rational ergodicity and partial rigidity
Alexandre I. Danilenko
A simple proof of the fact that each rank-one infinite measure preserving (i.m.p.) transformation is subsequence weakly rationally ergodic is found. Some classes of funny rank-one…