Title
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Joint with...
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“Slides”
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Published in ...
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Link/File
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An isolated Lyapunov exponent
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Submitted
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On the distribution of the angle between Oseledets spaces
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Pablo Lessa
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Submitted
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Ergodic optimization for a class of contracting skew-products (working title)
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Cagri Sert
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...
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Complete regularity of linear cocycles and the Baire category of the set of Lyapunov-Perron regular points
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Yakov Pesin, Omri Sarig
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Submitted
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Monochromatic nonuniform hyperbolicity
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Submitted
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A Poincaré-Bendixson theorem for switched Bebutov shifts and applications to global stability of switched differential equations (working title)
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Ian D. Morris
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...
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Hypergeometric means and their completion (working title)
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...
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Spectrum maximizing products are not generically unique
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Piotr Laskawiec
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SIAM Journal on Matrix Analysis and Applications, 45 (2024), no. 1, pp. 585-600.
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The Halász-Székely barycenter
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Godofredo Iommi,
Mario Ponce
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Proceedings of the Edinburgh Mathematical Society, 65 (2022), pp. 881-911.
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Flexibility of Lyapunov exponents
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Anatole Katok,
Federico Rodriguez Hertz
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Ergodic Theory and Dynamical Systems, 42 (2022), pp. 554-591.
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On emergence and complexity of ergodic decompositions
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Pierre Berger
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Advances in Mathematics, 390 (2021), 107904.
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Extremal norms for fiber bunched cocycles
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Eduardo Garibaldi
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Journal de l'École polytechnique - Mathématiques, 6 (2019), pp. 947-1004.
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Ergodic optimization of Birkhoff averages and Lyapunov exponents
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Proceedings of the International Congress of Mathematicians 2018, Rio de Janeiro, vol. 2, pp. 1821-1842.
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Equilibrium states of generalised singular value potentials and applications to affine iterated function systems
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Ian D. Morris
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Geometric and Functional Analysis, 28 (2018), no. 4, pp. 995-1028.
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Dominated Pesin theory: convex sum of hyperbolic measures
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Christian Bonatti,
Katrin Gelfert
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Israel Journal of Mathematics, 226 (2018), no. 1, pp. 387-417.
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On the approximation of convex bodies by ellipses with respect to the symmetric difference metric
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Discrete & Computational Geometry, 60 (2018), no. 4, pp. 938-966.
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Positivity of the top Lyapunov exponent for cocycles on semisimple Lie groups over hyperbolic bases
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M. Bessa,
M. Cambrainha,
C. Matheus,
P. Varandas,
Disheng Xu
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Bulletin of the Brazilian Mathematical Society, 49 (2018), no. 1, pp. 73-87.
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A criterion for zero averages and full support of ergodic measures
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Christian Bonatti,
Lorenzo J. Díaz
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Moscow Mathematical Journal, 18 (2018), no. 1, pp. 15-61.
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Anosov representations and dominated splittings
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Rafael Potrie, Andrés Sambarino
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Journal of the European Mathematical Society 21 (2019), no. 11, pp. 3343-3414.
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Robust criterion for the existence of nonhyperbolic measures
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Christian Bonatti,
Lorenzo J. Díaz
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Communications in Mathematical Physics 344 (2016), no. 3, pp. 751-795.
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The scaling mean and a law of large permanents
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Godofredo Iommi,
Mario Ponce
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Advances in Mathematics 292 (2016), pp. 374-409.
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Ergodic optimization of prevalent super-continuous functions
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Yiwei Zhang
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International Mathematics Research Notices 2016 (2016), no. 19, pp. 5988-6017.
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Cocycles of isometries and denseness of domination
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Quarterly Journal of Mathematics 66 (2015), no. 3, pp. 773-798.
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Peano curves with smooth footprints
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Pedro H. Milet
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Monatshefte für Mathematik 180 (2016), no. 4, pp. 693-712.
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The entropy of Lyapunov-optimizing measures of some matrix cocycles
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Michał Rams
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Journal of Modern Dynamics 10 (2016), pp. 255-286.
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Continuity properties of the lower spectral radius
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Ian D. Morris
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Proceedings of the London Mathematical Society 110 (2015), pp. 477-509.
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Generic linear cocycles over a minimal base
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Studia Mathematica 218 (2013), no. 2, pp. 167-188.
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Almost reduction and perturbation of matrix cocycles
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Andrés Navas
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Annales de l'Institut Henri Poincaré - analyse non linéaire 31 (2014), no. 6, pp. 1101-1107.
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Robust vanishing of all Lyapunov exponents for iterated function systems
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Christian Bonatti,
Lorenzo J. Díaz
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Mathematische Zeitschrift 176 (2014), pp. 469-503.
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Universal regular control for generic semilinear systems
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Nicolas Gourmelon
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Mathematics of Control, Signals, and Systems 26 (2014), no. 4, pp. 481-518.
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A geometric path from zero Lyapunov exponents to rotation cocycles
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Andrés Navas
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Ergodic Theory and Dynamical Systems 35 (2015), no. 2, pp. 374-402.
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Perturbation of the Lyapunov spectra of periodic orbits
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Christian Bonatti
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Proceedings of the London Mathematical Society 105 (2012), no. 1, pp. 1-48.
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Nonuniform hyperbolicity, global dominated splittings and generic properties of volume-preserving diffeomorphisms
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Artur Avila
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Transactions of the American Mathematical Society 364 (2012), no. 6, pp. 2883-2907.
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Opening gaps in the spectrum of strictly ergodic Schrödinger operators
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Artur Avila, David Damanik
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Journal of the European Mathematical Society 14 (2012), no. 1, pp. 61-106.
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Nonuniform center bunching and the genericity of ergodicity among \(C^1\) partially hyperbolic symplectomorphisms
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Artur Avila, Amie Wilkinson
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Annales Scientifiques de l'École Normale Supérieure 42 (2009), no. 6, pp. 931-979.
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Some characterizations of domination
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Nicolas Gourmelon
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Mathematische Zeitschrift 263 (2009), no. 1, pp. 221-231.
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Uniformly hyperbolic finite-valued \({\rm SL}(2,\Bbb{R})\) cocycles
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Artur Avila, Jean-Christophe Yoccoz
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Commentarii Mathematici Helvetici 85 (2010), no. 4, pp. 813-884.
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\(C^1\)-generic symplectic diffeomorphisms: partial hyperbolicity and zero centre Lyapunov exponents
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Journal of the Institute of Mathematics of Jussieu, 9 (2010), no. 1, pp. 49-93.
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Cantor spectrum for Schrödinger operators with potentials arising from generalized skew-shifts
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Artur Avila, David Damanik
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Duke Mathematical Journal 146 (2009), no. 2, pp. 253-280.
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A uniform dichotomy for generic \({\rm SL}(2,\Bbb{R})\) cocycles over a minimal base
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Artur Avila
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Bulletin de la Société Mathématique de France 135 (2007), 407-417.
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Generic expanding maps without absolutely continuous invariant \(\sigma\)-finite measure
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Artur Avila
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Mathematical Research Letters 14 (2007), no. 5, 721-730.
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A generic \(C^1\) map has no absolutely continuous invariant probability measure
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Artur Avila
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Nonlinearity 19 (2006), 2717-2725.
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Dichotomies between uniform hyperbolicity and zero Lyapunov exponents for \({\rm SL}(2,\Bbb{R})\) cocycles
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Bassam Fayad
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Bulletin of the Brazilian Mathematical Society 37 (2006), no. 3, 307-349.
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A remark on conservative diffeomorphisms
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Bassam Fayad, Enrique Pujals
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Comptes Rendus Acad. Sci. Paris, Ser. I 342 (2006), 763-766.
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\(L^p\)-generic cocycles have one-point Lyapunov spectrum
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Alexander Arbieto
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Stochastics and Dynamics 3 (2003), 73-81. Corrigendum. ibid, 3 (2003), 419-420.
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Lyapunov exponents: How frequently are dynamical systems hyperbolic?
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Marcelo Viana
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Modern dynamical systems and applications, 271-297, Brin, Hasselblatt, Pesin (eds.) Cambridge Univ. Press, 2004.
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Correction:
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Inequalities for numerical invariants of sets of matrices
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Linear Algebra and its Applications, 368 (2003), 71-81.
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The Lyapunov exponents of generic volume preserving and symplectic maps
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Marcelo Viana
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Annals of Mathematics, 161 (2005), no. 3, 1423-1485.
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Robust transitivity and topological mixing for \(C^1\)-flows
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Flavio Abdenur, Artur Avila
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Proceedings of American Mathematical Society, 132 (2004), 699-705.
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Uniform (projective) hyperbolicity or no hyperbolicity: a dichotomy for generic conservative maps
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Marcelo Viana
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Annales de l'Institut Henri Poincaré - analyse non linéaire, 19 (2002), 113-123.
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A formula with some applications to the theory of Lyapunov exponents
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Artur Avila
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Israel Journal of Mathematics, 131 (2002), 125-137.
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Genericity of zero Lyapunov exponents
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Ergodic Theory and Dynamical Systems, 22 (2002), 1667-1696.
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Discontinuity of the Lyapunov exponent for non-hyperbolic cocycles
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Permanent preprint
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