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Rafaël Potrie

Pointwise partial hyperbolicity in three-dimensional nilmanifolds
2014 · A. Hammerlindl, R. Potrie · Journal of the London Mathematical Society · 74
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Eigenvalues and entropy of a Hitchin representation
2017 · Rafael Potrie, Andrés Sambarino · Inventiones mathematicae · 72
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Partial hyperbolicity and foliations in $\mathbb{T}^3$
2015 · Rafael Potrie, ,Centro de Matemática, Facultad de Ciencias, Universidad de la República, Igua 4225, Montevideo, 11400 · Journal of Modern Dynamics · 43
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Classification of partially hyperbolic diffeomorphisms in 3-manifolds with solvable fundamental group
2015 · Andy Hammerlindl, Rafael Potrie · Journal of Topology · 39
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Eigenvalue gaps for hyperbolic groups and semigroups
2022 · Fanny Kassel, Rafael Potrie · Journal of Modern Dynamics · 37
Dynamical coherence of partially hyperbolic diffeomorphisms of tori isotopic to Anosov
2014 · Todd Fisher, Rafael Potrie, et al. · Mathematische Zeitschrift · 34
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Partial hyperbolicity and classification: a survey
2016 · ANDY HAMMERLINDL, RAFAEL POTRIE · Ergodic Theory and Dynamical Systems · 31
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Local and global aspects of almost global stability
2006 · Pablo Monzon, Rafael Potrie · IEEE Conference on Decision and Control (CDC) · 30
Anomalous partially hyperbolic diffeomorphisms II: stably ergodic examples
2016 · Christian Bonatti, Andrey Gogolev, et al. · Inventiones mathematicae · 29
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Anomalous partially hyperbolic diffeomorphisms I: dynamically coherent examples
2016 · Christian Bonatti, Kamlesh Parwani, et al. · Annales Scientifiques de l École Normale Supérieure · 24
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Partial hyperbolicity and attracting regions in 3-dimensional manifolds
2012 · Potrie, Rafael · Americanae (AECID Library) · 22
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Local implications of almost global stability
2008 · Rafael Potrie, Pablo Monzón · Dynamical Systems · 22
Livšic theorem for low-dimensional diffeomorphism cocycles
2016 · Alejandro Kocsard, Rafael Potrie · Commentarii Mathematici Helvetici · 21
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Collapsed Anosov flows and self orbit equivalences
2023 · Thomas Barthelmé, Sérgio R. Fenley, et al. · Commentarii Mathematici Helvetici · 20
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Generic bi-Lyapunov stable homoclinic classes
2010 · Rafael Potrie · Nonlinearity · 19
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Rotation intervals and entropy on attracting annular continua
2018 · Alejandro Passeggi, Rafael Potrie, et al. · Geometry & Topology · 18
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Ergodicity of partially hyperbolic diffeomorphisms in hyperbolic 3-manifolds
2022 · Sergio R. Fenley, Rafael Potrie · Advances in Mathematics · 17
Seifert manifolds admitting partially hyperbolic diffeomorphisms
2018 · Andy Hammerlindl, Rafael Potrie, et al. · Journal of Modern Dynamics · 16
Partial Hyperbolicity and Pseudo-Anosov Dynamics
2024 · Sergio R. Fenley, Rafael Potrie · Geometric and Functional Analysis · 15
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Geometric properties of partially hyperbolic measures and applications to measure rigidity
2023 · Eskin, Alex, Potrie, Rafael, et al. · arXiv (Cornell University) · 14
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A Few Remarks on Partially Hyperbolic Diffeomorphisms of $${\mathbb T}^3$$ T 3 Isotopic to Anosov
2014 · Rafael Potrie · Journal of Dynamics and Differential Equations · 13
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Partially hyperbolic diffeomorphisms homotopic to the identity in dimension 3, II : Branching foliations
2023 · Thomas Barthelmé, Sérgio R Fenley, et al. · Geometry & Topology · 11
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Robust Dynamics, Invariant Structures and Topological Classification
2019 · RAFAEL POTRIE · International Congress of Mathematicians (ICM) · 11
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Tame dynamics and robust transitivity chain-recurrence classes versus homoclinic classes
2014 · C. Bonatti, S. Crovisier, et al. · Transactions of the American Mathematical Society · 11
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Partially hyperbolic diffeomorphisms homotopic to the identity in dimension $3$ Part I: the dynamically coherent case
2024 · Thomas BARTHELMÉ, Sergio R. FENLEY, et al. · Annales Scientifiques de l École Normale Supérieure · 10
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Works count: 86
Citation count: 803
H-index: 17
I10-index: 27
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