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Publications
Some aspects of topological dynamics of Polish groups (with an introduction to descriptive set theory), preprint (2026), to appear in Cours Spécialisés [PDF]
Dense and comeager conjugacy classes in zero-dimensional dynamics, joint work with M. Doucha and T. Tsankov, preprint (2025) [PDF]
A dynamical proof of Matui's absorption theorem preprint (2025) [PDF]
Clopen type semigroups of actions on 0-dimensional spaces , to appear in Groups, Geometry and Dynamics [PDF].
A topometric Effros theorem, joint work with I. Ben Yaacov to appear in Journal of Symbolic Logic [PDF].
From invariant measures to orbit equivalence, via locally finite groups, with S. Robert, Annales Henri Lebesgue 6 (2023), 259--295 [PDF].
There is an error in one of the main arguments of this paper. Please see the corrigendum.
Generic properties of homeomorphisms preserving a given dynamical simplex, Ergodic Theory and Dynamical Systems 43 (2023), no. 2, 646--662 [PDF].
Dense locally finite subgroups of automorphism groups of ultraextensive spaces, with M. Etedadialiabadi, S. Gao,
and F. Le Maître, Advances in Mathematics 391 (2021), no 107966 [PDF].
Dynamical simplices and Borel complexity of orbit equivalence, Israel Journal of Mathematics 236, 317-344 (2020) [PDF].
Homogeneous actions on Urysohn space, with P. Fima , F. Le Maître and S. Moon, to appear in Colloquium Mathematicum [PDF].
Dynamical simplices and Fraïssé theory, Ergodic Theory and Dynamical Systems 39 (2019), no. 11, 3111-3126 [PDF] .
Metrizable universal minimal flows of Polish groups have a comeagre orbit, joint work with I. Ben Yaacov and T. Tsankov,
Geometric and Functional Analysis 27(2017), no.1, 67-77 [PDF].
From isolated subgroups to generic permutation representations, with Y. Glasner et D. Kitroser, Journal of the LMS (2)94 (2016), no.3, 688--708 [PDF].
A Polish metric space whose group of isometries induces a universal relation for Polish group actions ,
Fundamenta Mathematicae 239 (2017), no.1, 43--49 [PDF].
Dynamical simplices and minimal homeomorphisms , joint work with T. Ibarlucia, Proceedings of the AMS 145(2017), no.11, 4981--4994 [PDF].
Polish groups and Baire category methods, preprint (2015), submitted (this paper is based on my Habilitation thesis, with a few additions and substractions), Confluentes Mathematici 8 (2016), no.1, 89--164 [PDF].
Isometrisable group actions, joint work with I. Ben Yaacov,
Proceedings of the AMS 144 (2016), no.9, 4081-4088 [PDF].
Polish groups with metrizable universal minimal flows, joint work with
Lionel Nguyen Van Thé and
T. Tsankov,International Mathematical Research Notices 2016, no. 5, 1285--1307 [PDF].
Grey subsets of Polish spaces, joint work with I. Ben Yaacov,
preprint (2014), Journal of Symbolic Logic 80 (2015), no. 4, 1379-1397 [PDF]
Full groups of minimal homeomorphisms and Baire category methods, joint work with T. Ibarlucia, preprint (2013), Ergodic Theory and Dynamical Systems 36 (2016), no. 2, 550-573 [PDF]
Elements of finite order in automorphism groups of homogeneous structures, joint work with D. Bilge,
Contributions to Discrete Mathematics 8 (2013), no.2
[PDF]
Extensions of generic measure-preserving actions, Annales de l'Institut Fourier 64 (2014), no.2, 607-623. [PDF]
Generic representations of abelian groups and extreme amenability, joint work with T. Tsankov,
Israel Journal of Mathematics 198
(2013) no.1, 129-167.
[PDF]
Polish topometric groups, joint work with I. Ben Yaacov
and A. Berenstein
Transactions of the AMS 365 (2013), no.7, 3877-3897.
[PDF]
A note on Hjorth's
oscillation theorem,
Journal of Symbolic Logic 75
(2010) no.2, 1359-1365. [PDF]
Topology of the
Isometry group of the Urysohn space
Fundamenta Mathematicae 207
(2010) no.3, 273-287. [PDF]
Linearly rigid
metric spaces, joint work with
F. Petrov and A.M Vershik, Fundamenta
Mathematicae 199 (2008) no.2, 177-194.[PDF]
The above paper led
to the publication of a note:
Linearly
rigid metric spaces (joint with F.
Petrov and A.M Vershik)Comptes
Rendus de l'Académie des Sciences de Paris 344
(2007), 235-240.
Some geometric and dynamical
properties of the Urysohn space
Topology and its Applications 155
(2008), no. 14,1531-1560. [PDF]
Computing the complexity of the
relation of isometry between separable Banach spaces
Mathematical Logic Quarterly 53
(2007) 128-131. [PDF]
On the geometry of
Urysohn's universal metric space
Topology and its Applications 154 (2007),
384-403. [PDF]
Compact metrizable groups are isometry groups of
compact metric spaces
Proceedings of the AMS 136
(2008), no. 4, 1451-1455.
[PDF]
Stabilizers of closed sets in the Urysohn space
Fundamenta
Mathematicae 189 (2006), no. 1, 53-60.
[PDF]
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