Marcelo Viana
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Marcelo Vianamathematics Degrees
Mathematics
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Measure Theory
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Mathematics
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(Suggest an Edit or Addition)Marcelo Viana's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- SRB measures for partially hyperbolic systems whose central direction is mostly expanding (2000) (411)
- Abundance of strange attractors (1993) (359)
- SRB measures for partially hyperbolic systems whose central direction is mostly contracting (2000) (329)
- Lectures on Lyapunov Exponents (2014) (199)
- The Lyapunov exponents of generic volume-preserving and symplectic maps (2005) (186)
- What’s new on lorenz strange attractors? (2000) (184)
- Simplicity of Lyapunov spectra: proof of the Zorich-Kontsevich conjecture (2005) (163)
- Ergodic Theory of Interval Exchange Maps (2006) (161)
- High dimension diffeomorphisms displaying infinitely many periodic attractors (1994) (156)
- Multidimensional nonhyperbolic attractors (1997) (154)
- Extremal Lyapunov exponents: an invariance principle and applications (2010) (134)
- Singular-hyperbolic attractors are chaotic (2005) (130)
- Statistical stability for robust classes of maps with non-uniform expansion (2000) (124)
- GÉNÉRICITÉ D'EXPOSANTS DE LYAPUNOV NON-NULS POUR DES PRODUITS DÉTERMINISTES DE MATRICES GENERICITY OF NON-ZERO LYAPUNOV EXPONENTS FOR DETERMINISTIC PRODUCTS OF MATRICES (2003) (100)
- Almost all cocycles over any hyperbolic system have nonvanishing Lyapunov exponents (2008) (95)
- Strong stochastic stability and rate of mixing for unimodal maps (1996) (95)
- Lyapunov exponents with multiplicity 1 for deterministic products of matrices (2004) (94)
- Strange attractors in higher dimensions (1993) (85)
- Existence, uniqueness and stability of equilibrium states for non-uniformly expanding maps (2008) (76)
- Lorenz attractors with arbitrary expanding dimension (1997) (75)
- The Entropy Conjecture for Diffeomorphisms away from Tangencies (2010) (75)
- On the continuity of Hausdorff dimension and limit capacity for horseshoes (1988) (68)
- Strange attractors in saddle-node cycles: prevalence and globality (1996) (65)
- Absolute continuity, Lyapunov exponents and rigidity I : geodesic flows (2011) (64)
- Solution of the basin problem for Hénon-like attractors (2001) (61)
- Physical Measure and Absolute Continuity for One-Dimensional Center Direction (2010) (59)
- Dynamics: A Probabilistic and Geometric Perspective (1998) (49)
- HOLONOMY INVARIANCE: ROUGH REGULARITY AND APPLICATIONS TO LYAPUNOV EXPONENTS par (2012) (48)
- Simplicity of Lyapunov spectra: a sufficient criterion (2006) (45)
- Thermodynamical formalism for robust classes of potentials and non-uniformly hyperbolic maps (2008) (43)
- UNIFORM (PROJECTIVE) HYPERBOLICITY OR NO HYPERBOLICITY: A DICHOTOMY FOR GENERIC CONSERVATIVE MAPS (2002) (42)
- Random perturbations and statistical properties of Henon-like maps (2006) (40)
- Continuity of Lyapunov exponents for random two-dimensional matrices (2016) (38)
- Hyperbolic Dynamical Systems (2008) (38)
- Geometric and Measure-Theoretical Structures of Maps with Mostly Contracting Center (2014) (38)
- Foundations of Ergodic Theory (2016) (34)
- Continuity of Lyapunov Exponents for Random 2D Matrices (2010) (31)
- Abundance of stable ergodicity (2004) (30)
- Infinite-modal maps with global chaotic behavior (1998) (29)
- Lyapunov exponents of linear cocycles over Markov shifts (2014) (26)
- Cocycles over Partially Hyperbolic Maps (2013) (23)
- Discontinuity of the Hausdorff dimension of hyperbolic sets (1995) (23)
- Measure-theoretical properties of center foliations (2016) (22)
- The Lyapunov exponents of generic volume preserving and symplectic systems (2002) (21)
- Equilibrium states for hyperbolic potentials (2017) (19)
- (Dis)continuity of Lyapunov exponents (2018) (19)
- Existence and uniqueness of maximizing measures for robust classes of local diffeomorphisms (2006) (17)
- Dynamics, games and science (2011) (15)
- Hausdorff dimension for non-hyperbolic repellers II: DA diffeomorphisms (2005) (14)
- Invariant measures for interval maps with critical points and singularities (2008) (14)
- Transverse stability of solitary waves propagating in coupled nonlinear dispersive transmission lines. (2008) (13)
- Continuity of Lyapunov exponents in the C0 topology (2016) (13)
- Foundations of Ergodic Theory: Index of notation (2016) (13)
- Absolute continuity, Lyapunov exponents, and rigidity II: systems with compact center leaves (2021) (13)
- Parameter exclusions in Hénon-like systems (2003) (12)
- Stable accessibility with 2-dimensional center (2020) (12)
- Homoclinic tangencies and fractal invariants in arbitrary dimension (2001) (12)
- Dynamics in the moduli space of Abelian differentials (2005) (11)
- Hausdorff Dimension of Non-Hyperbolic Repellers. I: Maps with Holes (2001) (10)
- Discontinuity of Hausdorff dimension and limit capacity on arcs of diffeomorphisms (1989) (9)
- Dynamical Systems: Moving into the Next Century (2001) (8)
- Global attractors and bifurcations (1996) (8)
- Maximal entropy measures of diffeomorphisms of circle fiber bundles (2019) (8)
- Moduli of continuity for the Lyapunov exponents of random 𝐺𝐿(2)-cocycles (2019) (8)
- The intermittency route to chaotic dynamics (2001) (7)
- Foundations of Ergodic Theory: Ergodic theorems (2016) (6)
- Simple Lyapunov spectrum for certain linear cocycles over partially hyperbolic maps (2016) (6)
- Thermodynamical u-formalism I: measures of maximal u-entropy for maps that factor over Anosov (2020) (5)
- Mathematics of Energy and Climate Change (2015) (5)
- Saddle-Node Cycles and Prevalence of Strange Attractors (1994) (4)
- Homoclinic Bifurcations and Persistence of Nonuniformly Hyperbolic Attractors (1995) (4)
- A probabilistic and geometric perspective. (1998) (3)
- Multiplicative ergodic theorem (2014) (3)
- Corrigendum: Infinite-modal maps with global chaotic behavior (1999) (3)
- Lyapunov Exponents and Strange Attractors (2006) (3)
- Continuity of Lyapunov exponents in the C0 topology (2019) (2)
- Parameter Exclusions in H ´ Enon-like Systems (2008) (2)
- Absolutely continuous invariant measures for the quadratic family (2002) (2)
- Geometric methods in dynamics : volume in honor of Jacob Palis (2003) (2)
- Lyapunov exponents of probability distributions with non-compact support (2018) (2)
- The statistics of attractors (1996) (1)
- Homoclinic Bifurcations and Strange Attractors (1995) (1)
- Partially volume expanding diffeomorphisms (2020) (1)
- Chaotic dynamics of quadratic maps 1 (2004) (1)
- Foundations of Ergodic Theory: Expanding maps (2016) (0)
- Abundance of strange (1993) (0)
- Mathematical Congress of the Americas (2012) (0)
- Série SIMPLICITY OF LYAPUNOV SPECTRA : A SUFFICIENT CRITERION (2007) (0)
- Foundations of Ergodic Theory: Hints or solutions for selected exercises (2016) (0)
- Letters to the Editor (2019) (0)
- Foundations of Ergodic Theory: Entropy (2016) (0)
- Foundations of Ergodic Theory: Correlations (2016) (0)
- Lectures on Lyapunov Exponents: Exponents and invariant measures (2014) (0)
- Foundations of Ergodic Theory: Preface (2016) (0)
- Asymmetry Spectrum Analysis of ADCP Data and Characterization of Tidal Currents Non-Stationary Dynamics (2006) (0)
- Foundations of Ergodic Theory: References (2016) (0)
- Extremal Lyapunov exponents (2014) (0)
- Foundations of Ergodic Theory: Equivalent systems (2016) (0)
- Foundations of Ergodic Theory: Ergodicity (2016) (0)
- Foundations of Ergodic Theory: Recurrence (2016) (0)
- Hyperbolicity and Rigidity for Fibred Partially Hyperbolic Systems (2022) (0)
- Foundations of Ergodic Theory: Variational principle (2016) (0)
- Foundations of Ergodic Theory: Topics in measure theory, topology and analysis (2016) (0)
- Math in Brazil: Sowing the Seeds (2017) (0)
- Foundations of Ergodic Theory: Existence of invariant measures (2016) (0)
- Foundations of Ergodic Theory: Unique ergodicity (2016) (0)
- Foundations of Ergodic Theory: Ergodic decomposition (2016) (0)
- Geometric and Measure-Theoretical Structures of Maps with Mostly Contracting Center (2016) (0)
- Maximal transverse measures of expanding foliations (2022) (0)
- Mathematics and energy and climate change : International Conference and Advanced School Planet Earth, Portugal, March 21-28, 2013 (2015) (0)
- COCYCLES OVER PARTIALLY HYPERBOLIC MAPS par (2012) (0)
- Absolutely continuous invariant measures for non-uniformly expanding skew-products (2009) (0)
- Dynamics, games and science : International Conference and Advanced School Planet Earth, DGS II, Portugal, August 28-September 6, 2013 (2015) (0)
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