My profile in
arXiv. My profile in
Google Scholar.
ORCID.
PREPRINTS (available in here):
- "Quasi-isometric center action in dimension 3" with M. Espita and S. Martinchich (2024) Submitted.
- "Quasi-isometric free group representations into SL_3(R)" with León Carvajales and Pablo Lessa (2024) Submitted.
- "The stability conjecture for geodesic flows of compact manifolds without conjugate points and quasi-convex universal covering" with R. O. Ruggiero (2023) Submitted.
- "Intersection of transverse foliations in 3-manifolds: Hausdorff leaf space implies leafwise quasigeodesic" with S. Fenley (2023) Submitted.
- "Transverse minimal foliations on unit tangent bundles and applications" with S. Fenley (2023) Submitted.
- "Geometric properties of partially hyperbolic measures and applications to measure rigidity" with A. Eskin and Z. Zhang (2023) Preprint.
EXPOSITORY WORK AND SURVEYS:
- ''Anosov flows in dimension 3: an outside look'' submitted to the proceedings of the conference Symplectic Dynamics and Anosov flows.
- ''Partially hyperbolic dynamics and 3-manifold topology '' Notices of the AMS.
July 2021 Issue 885-891.
- ``Research announcement: Partially hyperbolic diffeomorphisms homotopic to identity in 3-manifolds'' with T. Barthelme, S. Fenley and S. Frankel. Matrix Book Series. 2018 MATRIX Annals. Eds. D.R. Wood, J. de Gier, C.E. Praeger, T. Tao. Springer International Publishing, 2020.
- "Robust dynamics, invariant structures and topological classification'' Proceedings of ICM 2018 Vol 2 2057-2080. VIDEO OF THE TALK.
- "Partial hyperbolicity and classification: a survey" with A. Hammerlindl Ergodic Theory and Dynamical Systems. 38 (2) (2018) 401-443.
- Introduction to non-uniform and partial hyperbolicity, Lecture notes for a
minicourse (joint with
M. C. Arnaud) in
CIMPA "Hamiltonian and Lagrangian Dynamics" (Salto, March 2015). Published in Publicaciones Matematicas del Uruguay 16 (2016)
- "On the work of Jorge Lewowicz on expansive homeomorphisms" Publicaciones Matematicas del Uruguay 14 (2014) 6-22.
PUBLISHED AND ACCEPTED RESEARCH PAPERS:
- "Partial hyperbolicity and pseudo Anosov dynamics" with S. Fenley to appear in GAFA.
- "Accesibility and ergodicity of collapsed Anosov flows" with S. Fenley to appear in American Journal of Math.
- "Robust transitivity and domination for endomorphisms with critical points" with C. Lizana, E. Pujals and W. Ranter Ergodic Theory and Dynamical Systems.
Volume 44 Issue 2 (2024) 594--629.
- "Collapsed Anosov flows and self orbit equivalences" with T. Barthelme and S. Fenley Commentarii Math. Helvetici. Volume 98, Issue 4 (2023) 771--875
- "A remark on uniform expansion" Revista UMA. (Special Issue MCA 2021) 64(1) (2022) 11--21.
- ''Eigenvalue gaps for hyperbolic groups and semigroups'' with F. Kassel , Journal of Modern Dynamics 18 (2022) 161--208
- ''Topology of leaves for minimal laminations by hyperbolic surfaces'' with S. Alvarez, J. Brum and M. Martínez and an appendix with M. Wolff . Journal of Topology 15 (2022) 302--346
- ''Ergodicity of partially hyperbolic diffeomorphisms in hyperbolic 3-manifolds'' with S. Fenley Advances in Mathematics 401 (2022), Paper No. 108315, 45 pp.
- "Partially hyperbolic diffeomorphisms homotopic to the identity in dimension 3. Part II: Branching foliations" with T. Barthelme, S. Fenley and S. Frankel Geometry and Topology. Vol 27, Issue 8 (2023) 3095--3181.
- "Partially hyperbolic diffeomorphisms homotopic to the identity in dimension 3. Part I: The dynamically coherent case" with T. Barthelme, S. Fenley and S. Frankel to appear in Annales Scientifiques de l'ENS .
- ''Minimality of the action on the universal circle of uniform foliations'' with S. Fenley Groups, Geometry and Dynamics 15 (2021), no. 4, 1489–1521.
- "Dynamical incoherence for a large class of partially hyperbolic diffeomorphisms" with T. Barthelme, S. Fenley and S. Frankel Ergodic Theory and Dynamical Systems 41 (2021), no. 11, 3227-3243.
- ''Anomalous partially hyperbolic diffeomorphisms III: abundance and incoherence'' with C. Bonatti , A. Gogolev and A. Hammerlindl Geometry and Topology. 24:4, 1751--1790, (2020).
- ''Some remarks on projectively Anosov flows'' with C. Bonatti and J. Bowden, Matrix Book Series. 2018 MATRIX Annals. Eds. D.R. Wood, J. de Gier, C.E. Praeger, T. Tao. Springer International Publishing, 2020.
- ``Classification of systems with center stable tori'' with A. Hammerlindl . Michigan Mathematical Journal, 68 (2019), no. 1, 147–166.
- ``Finiteness of partially hyperbolic attractors with one dimensional center'' with S. Crovisier and M. Sambarino, Annales Scientifiques de l'ENS, 53 (2020) 559-588.
- ``Seifert manifolds admitting partially hyperbolic diffeomorphisms'' with A. Hammerlindl and M. Shannon, Journal of Modern Dynamics. 12 (2018) 193-222.
- "Rotation intervals and entropy on attracting annular continua" with A. Passeggi and M. Sambarino. Geometry and Topology. 22 (4) (2018) 2145-2186.
- "Anosov representations and dominated splittings" with J. Bochi and A. Sambarino Journal of the European Math. Soc. 21 (2019), no. 11, pp. 3343-3414.
- ``Free orbits for minimal actions on the circle'' with J. Brum and M. Martinez. Proceedings AMS. 146 (2) (2018) 581-587.
- "Many intermingled basins in dimension 3" with C. Bonatti , Israel Journal of Math. 224 (1) (2018) 293-314.
- "Eigenvalues and entropy of a Hitchin representation" with
A. Sambarino Inventiones Math. 209 Issue 3 (2017) 885-925.
- "Anomalous
partially hyperbolic diffeomorphisms II: stably ergodic examples" with
C. Bonatti and
A. Gogolev, Inventiones Math. Vol.206 Iss. 3. (2016) pp.801-836.
- "Anomalous partially hyperbolic diffeomorphisms I:
dynamically coherent examples" with
C.Bonatti and K.Parwani, Annales Scientifiques de l'ENS. Vol. 49 Fas. 6 (2016).
- "Livsic theorem
for low-dimensional diffeomorphism cocycles" with
A. Kocsard.
Comentarii Math.
Helvetici. Vol 91 Issue 1 (2016) p.39-64.
- "Partially hyperbolic diffeomorphisms with a trapping property" Discrete and Continuous Dynamical Systems A Vol. 35 Issue. 10 (2015).
- "Classification of partially hyperbolic diffeomorphisms in 3-manifolds with solvable fundamental group" with A. Hammerlindl. Journal of Topology. 8 (3) (2015)
- "A few remarks on partially hyperbolic diffeomorphisms of T3 isotopic to Anosov" Journal of Dynamics and Differential Equations 26 (3) (2014) pp 805-815..
- "Dynamical coherence for partially hyperbolic diffeomorphisms of tori isotopic to Anosov" with T. Fisher and M. Sambarino. Mathematische Zeitchcrift 278 (2014) pp 149-168
- "Pointwise partial hyperbolicity in three dimensional nilmanifolds" with A. Hammerlindl. Journal of the London Math. Society 89 n3 (2014) 853-875.
- "Partial hyperbolicity and foliations in T3" Journal of Modern Dynamics Vol. 9 Issue 1 (2015) 81-121.
- "Tame dynamics and robust transitivity: Chain recurrence classes versus homoclinic classes" with C. Bonatti, S. Crovisier and N. Gourmelon. Transactions of the AMS 366 n9 (2014) 4849-4871.
- "Wild Milnor attractors accumulated by lower dimensional dynamics" Ergodic Theory and Dynamical Systems 34 n1 (2014) 236-262.
- "Recurrence of non-resonant torus homeomorphisms" Proceedings of the AMS. 140 (2012) 3973-3981.
- "Generic bi-Lyapunov stable homoclinic classes" Nonlinearity 23 n7 (2010) 1631-1650.
- "Codimension one homoclinic classes with non-empty interior" with M. Sambarino, Bulletin of the Brazil Math. Soc. 41 n1 (2010) 125-138.
- "Local implications of almost global stability" with P. Monzon, Dynamical Systems: An International Journal. 24 n1 (2009) 109-115.
- "Local product structure for expansive homeomorphisms" with A. Artigue and J. Brum. Topology and its applications. 156 n4 (2009) 674-685.
- "Local and global aspects of almost global stability" with P. Monzon. Proceedings of the 45th IEEE Conference on Decicion and Control (2006).
COLLABORATORS: List of colleagues I am working, have worked with or have ongoing projects with.
Sebastien Alvarez
Alejandro Passeggi
Martín Sambarino
Mario Shannon
OTHER LINKS TO WEB PAGES OF SOME MATHEMATICIANS WHO WORK IN SUBJETS I AM INTERESTED IN AND CONTAIN PREPRINTS, NOTES, ETC:
Ian Agol Alexander Arbieto Marie Claude Arnaud Artur Avila Viviane Baladi Thierry Barbot Juliette Bavard Yves Benoist
Francois Beguin Pierre Berger Martin Bridgeman Misha Brin Aaron Brown Abed Bounemoura Jonathan Bowden Keith Burns Clark Buttler
Jerome Buzzi Richard Canary Eleonora Catsigeras Danny Calegari Indira Chatterji Vaughan Climenhaga Gonzalo Contreras
Daniel Coronel Francoise Dal'bo Jeffrey Danciger Bertrand Deroin Lorenzo Diaz Dimitry Dolgopyat Romain Dujardin Alex Eskin
Benson Farb Bassam Fayad Simion Filip David Fisher Alex Furman Shaobo Gan Katrin Gelfert Etienne Ghys Bill Goldman Marcel Guardia
Mikail Gromov Olivier Guichard Boris Hasselblatt Steve Hurder Sebastian Hurtado Sergei Ivanov Tobias Jaeger Boris Kalinin
Vadim Kaloshin Misha Kapovich Fanny Kassel Anatole Katok Svetlana Katok Bruce Kleiner Andres Koropecki Francois Labourie
Pablo Lessa Frederic Le Roux Misha Lyubich Yuri Lima Kathryn Mann Vlad Markovic Ludovic Marquis Marco Martens Carlos Matheus
Curt McMullen John Milnor Emmanuel Militon Andres Navas Maria Jose Pacifico Pierre Pansu Gabriel Paternain Yakov Pesin Mario Ponce
Enrique Pujals Jean-Francois Quint Ludovic Rifford Juan Rivera-Letelier Jana Rodriguez Hertz Victoria Sadovskaya Bruno Santiago
Omri Sarig Mike Shub Ali Tahzibi Philippe Thieullin Nicolas Tholozan Michele Triestino Carlos Vasquez Marcelo Viana Raul Ures
Anna Wienhard Amie Wilkinson Dave Witte-Morris Maxime Wolff Alex Wright Jean-Cristophe Yoccoz Lai-Sang Young
PERMANENT PREPRINTS AND (NOT REVISED) LECTURE NOTES:
- "Partially hyperbolic diffeomorphisms homotopic to identity in dimension 3" with T. Barthelme, S. Fenley and S. Frankel (2019) This paper was split in two for submission. Announcement (2018).
- Anosov representations. Lecture notes for a minicourse in Beyond Uniform Hyperbolicity (Provo, UTAH, june 2017) joint with F. Kassel.
- Introduction to partially hyperbolic dynamics, (with S. Crovisier). Lecture notes for a minicourse in School and Conference in Dynamical Systems (ICTP, Trieste, July 2015).
- Entropía y Topologia: Lecture notes for a minicourse (joint with M. Shub) in Montevideo, March-April 2014 (In spanish).
- Classification of partially hyperbolic diffeomorphisms in 3-dimensional manifolds. Lecture notes for a minicourse in "A week of dynamical systems at UFRJ" (Rio de Janeiro, January 2013)
- "Non existence of attractors and dynamics around some wild homoclinic classes" Preprint (Previous version of my paper "Wild homoclinic classes...")
- "A proof of the existence of attractors in dimension 2" Preprint (2009). Not intended for publication (The results can be cited from my thesis where there is a longer presentation of this result).
MONOGRAPHS:
PHD Thesis: Partial hyperbolicity and attracting regions in 3-dimensional manifolds. Advisors: Sylvain Crovisier and Martin Sambarino. Defended: July 2012.
Master Thesis: Clases homoclinicas genericas con interior. Advisor: Martin Sambarino. Defended: August 2008.
Degree Monograph: Transitividad robusta en superficies. Advisor: Martin Sambarino. Defended: March 2007.
``Coarse dynamics and partially hyperbolic diffeomorphisms in 3-manifolds'' Members Seminar. Institute for Advanced Study (Princeton, NJ, February 2020.) VIDEO OF THE TALK.
``Some dynamics on hyperbolic 3-manifolds'' Plenary talk. 32 Coloquio Brasilero de Matemática (IMPA, Rio, August 2019) VIDEO OF THE TALK.
``Robust dynamics, invariant geometric structures and topological classification'' Dynamical Systems Session, International Congress of Mathematicians Rio 2018. VIDEO OF THE TALK. Official version.
``Rigidité de régularité pour les représentations de Hitchin'' Seminaire Geometrie et Groupes Discretes IHES (Bures-sur-Ivette) (April 2017)
``Partial hyperbolicty and foliations in 3-manifolds'' Cuernavaca's Friends 20 years (January 2017). VIDEO OF THE TALK.
"Partial hyperbolicity and foliations in 3-manifolds" IV EBSD Campinas (October 2016).
"Dynamics in the study of discrete subgroups of Lie groups" V CLAM, Barranquilla (July 2016).
"Entropy rigidity for surface group representations" International Conference on Dynamical Systems, Buzios (July 2016)
"Anosov representations and dominated splittings" Workshop on Geometry and Groups in Montevideo. (April 2016)
"The classification problem for partially hyperbolic diffeomorphisms" Third Palis Balzan Symposium on Dynamical Systems, IHP (Paris June 2015)
"Discrete subgroups of Lie Groups" (In spanish) Seminario de Sistemas Dinamicos de Montevideo (Uruguay, April 2015).
"Partially hyperbolic examples in dimension 3" 3era Escola Brasileira de Sistemas Dinámicos, Bento Goncalves (Porto Alegre, October 2014)
"Rigidity of eigenvalues for Hitchin representations" (in spanish) Seminario de Sistemas Dinamicos de Montevideo (Uruguay, October 2014).
"Geometry of the strong foliations in partially hyperbolic attractors" International Conference in Dynamical Systems IMPA (Rio November 2013)
"Cocycles of diffeomorphisms over a hyperbolic basis" University of Chicago Dynamical Systems Seminar(November 2013)
"Global stability for partially hyperbolic diffeomorphisms isotopic to Anosov" Northwestern UniversityDynamical Systems Seminar (Evanston, November 2013)
"Partial hyperbolicity and foliations in certain 3-manifolds" SUNY Binghampton Geometry and Topology Seminar (October 2013)
"The geometry of partially hyperbolic attractors" 2nd Palis-Balzan Symposium (IHP, Paris June 2013)
Slides for the (joint with Andy Hammerlindl) minicourse "Classification of partially hyperbolic diffeomorphisms in certain 3-manifolds" in the conference Beyond Uniform Hyperbolicity (Bedlewo, Poland May 2013). See alsoAndy's page
dimension 3" IV
CLAM, Cordoba (August 2012).
“Partially hyperbolic diffeomorphisms of
T^3” Puc�n Chile Conferencia en
honor a Rodrigo Bamon (Noviembre 2011).
“Partial hyperbolicity and
foliations” EDAI
(Noviembre 2011)
“Codimension one
generic homoclinic clases with
interior” Poster
presented in the 1st seminaire MathAMSUD in
Lima, Peru (November 2008).
"Local and global aspects of almost
global stability"
For the 45th IEEE Conference on Decision and Control, San Diego (2006).