39 citations · 99 across the 19 of their papers we have counts for
11 papers · 1 filter
Dense and comeager conjugacy classes in zero-dimensional dynamics
Michal Doucha, Julien Melleray, Todor Tsankov
Given a countable group , we initiate a systematic study of the Polish spaces of all minimal and topologically transitive actions of on the Cantor space by homeomorphisms, w…
Non-singular and probability measure-preserving actions of infinite permutation groups
Todor Tsankov
We prove two theorems in the ergodic theory of infinite permutation groups. First, generalizing a theorem of Nessonov for the infinite symmetric group, we show that every non-singu…
Topological dynamics of kaleidoscopic groups
Gianluca Basso, Todor Tsankov
Kaleidoscopic groups are a class of permutation groups recently introduced by Duchesne, Monod, and Wesolek. Starting with a permutation group , the kaleidoscopic construction pr…
Invariant measures on products and on the space of linear orders
Colin Jahel, Todor Tsankov
Let be an -categorical structure and assume that has no algebraicity and has weak elimination of imaginaries. Generalizing classical theorems of de Finetti and Ry…
Universal minimal flows of homeomorphism groups of high-dimensional manifolds are not metrizable
Yonatan Gutman, Todor Tsankov, Andy Zucker
Answering a question of Uspenskij, we prove that if is a closed manifold of dimension or higher or the Hilbert cube, then the universal minimal flow of …
Bernoulli disjointness
Eli Glasner, Todor Tsankov, Benjamin Weiss +1
Generalizing a result of Furstenberg, we show that for every infinite discrete group , the Bernoulli flow is disjoint from every minimal -flow. From this, we deduce tha…
A model-theoretic approach to rigidity of strongly ergodic, distal actions
Tomás Ibarlucía, Todor Tsankov
We develop a model-theoretic framework for the study of distal factors of strongly ergodic, measure-preserving dynamical systems of countable groups. Our main result is that all su…
Realizing uniformly recurrent subgroups
Nicolás Matte Bon, Todor Tsankov
We show that every uniformly recurrent subgroup of a locally compact group is the family of stabilizers of a minimal action on a compact space. More generally, every closed invaria…
Metrizable universal minimal flows of Polish groups have a comeagre orbit
Itaï Ben Yaacov, Julien Melleray, Todor Tsankov
We prove that, whenever is a Polish group with metrizable universal minimal flow , there exists a comeagre orbit in . It then follows that there exists an extremely…
Polish groups with metrizable universal minimal flows
Julien Melleray, Lionel Nguyen Van Thé, Todor Tsankov
We prove that if the universal minimal flow of a Polish group is metrizable and contains a orbit , then it is isomorphic to the completion of the homogeneous…
Subequivalence Relations and Positive-Definite Functions
A. Ioana, A. S. Kechris, T. Tsankov
We study a positive-definite function associated to a measure-preserving equivalence relation on a standard probability space and use it to measure quantitatively the proximity of…