Publications and preprints
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Ping-pong partitions and locally discrete groups of real-analytic circle
diffeomorphisms, I : Construction,
submitted (joint work with Juan Alonso,
Sébastien Alvarez,
Dominique Malicet, and
Carlos Meniño) [arXiv]
Slides from talk at a conference in Dubrovnik, June 2019.
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Cut-off method for endogeny of recursive tree processes,
not ready for submission, needs important revision (joint work with
Victor Kleptsyn) [arXiv]
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On James Hyde's example of non-orderable subgroup of \(\mathrm{Homeo}(D,\partial D)\),
L'Enseignement Mathématique (2) [arXiv]
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Small \(C^1\) actions of semidirect products on compact manifolds,
Algebr. Geom. Topol. 16, no. 6 (2020) 3183–3203
(joint work with
Christian Bonatti,
Sang-hyun Kim and
Thomas Koberda) [DOI, arXiv]
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Groups of piecewise linear homeomorphisms of minimal flows,
Compositio Math. 156, no. 8 (2020) 1595–1622 (joint work with
Nicolás Matte Bon)
[DOI, free on-line access, arXiv]
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Property FW, differentiable structures, and smoothability of singular actions,
J. Topol. 13, no. 3 (2020) 1119–1138 (joint work with
Yash Lodha
and Nicolás Matte Bon)
[DOI, arXiv]
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One-dimensional actions of Higman's group,
Discrete Analysis 2019:20, 15pp. (joint work with Cristóbal Rivas)
[DOI, arXiv]
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Ping-pong configurations and circular orders on free groups,
Groups Geom. Dyn. 13, no. 4 (2019) 1195–1218 (joint work with
Dominique Malicet,
Kathryn Mann and
Cristóbal Rivas)
[DOI, arXiv]
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Groups with infinitely many ends acting analytically on the circle,
J. Topol. 12, no. 4 (2019) 1315–1367 (joint work with
Sébastien Alvarez, Dmitry Filimonov,
Victor Kleptsyn,
Dominique Malicet,
Carlos Meniño and
Andrés Navas)
[DOI, arXiv]
-
Hyperbolicity as obstruction to smoothability for one-dimensional actions,
Geom. Topol. 23, no. 4 (2019) 1841–1876 (joint work with
Christian Bonatti and Yash Lodha)
[DOI, arXiv]
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Stationary random metrics on hierarchical graphs via \((\min,+)\)-type recursive distributional equations,
Commun. Math. Phys. 345, no. 1 (2016), 1–76 (joint work with
Mikhail Khristoforov
and Victor Kleptsyn)
[DOI, arXiv]
- Généricité au sens probabiliste dans les difféomorphismes du cercle,
Ensaios Matemáticos 27, Soc. Brasil. Mat. (2014), 1–99
[DOI, arXiv]
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On the invariant distributions of \(C^2\) circle diffeomorphisms of irrational rotation number,
Math. Z. 274, no. 1 (2013), 315–321 (joint work
with
Andrés Navas)
[DOI, arXiv]
Proof of Zimmer's Cocycle Superrigidity: centralizers and finite
dimensional invariant subspaces,
in Arbeitsgemeinschaft: Zimmer's Conjecture, Oberwolfach Rep. 16 (2019), 2951–3052 [DOI]
Entropy, smooth ergodic theory and rigidity of group actions, by Aaron Brown.
With appendices by Sébastien Alvarez, Dominique Malicet, Davi Obata, Mario Roldán, Bruno Santiago and Michele Triestino. Edited by Michele Triestino.
Ensaios Matemáticos 33 (2019), Soc. Brasil. Mat.
[DOI, arXiv].
In preparation:
Expository notes:
Notes: Filippo Bracci, Loewner's Theory from the deterministic point of view (Cortona 2010) (eternal draft).