Publications (53)
On special Lagrangian fibrations in generic twistor families of K3 surfaces
Nicolas Bergeron, Carlos Matheus
Fast decay of correlations of equilibrium states of open classes of non-uniformly expanding maps and potentials
Alexander Arbieto, Carlos Matheus
Sharp bilinear estimates and well-posedness for the 1-D Schrödinger-Debye system
Adan Corcho, Carlos Matheus
The Lagrange and Markov spectra from the dynamical point of view
Carlos Matheus
Positivity of the top Lyapunov exponent for cocycles on semisimple Lie groups over hyperbolic bases
Mario Bessa, Jairo Bochi, Michel Cambrainha +3
An estimate on the Hausdorff dimension of stable sets of non-uniformly hyperbolic horseshoes
Carlos Matheus, Jacob Palis
Rates of mixing for the Weil-Petersson geodesic flow II: exponential mixing in exceptional moduli spaces
Keith Burns, Howard Masur, Carlos Matheus +1
Well-posedness for the 1D Zakharov-Rubenchik system
Felipe Linares, Carlos Matheus
Rates of mixing for the Weil-Petersson geodesic flow I: no rapid mixing in non-exceptional moduli spaces
Keith Burns, Howard Masur, Carlos Matheus +1
Cohomological equation and local conjugacy class of Diophantine interval exchange maps
Giovanni Forni, Stefano Marmi, Carlos Matheus
Fractal geometry of non-uniformly hyperbolic horseshoes
Carlos Matheus
Lyapunov spectrum of invariant subbundles of the Hodge bundle
Giovanni Forni, Carlos Matheus, Anton Zorich
Homology of origamis with symmetries
Carlos Matheus, Jean-Christophe Yoccoz, David Zmiaikou
A pasting lemma and some applications for conservative systems
Alexander Arbieto, Carlos Matheus
Rough solutions for the periodic Schrödinger - Kortweg-deVries system
Alexander Arbieto, Adan Corcho, Carlos Matheus
Some examples of isotropic SL(2,R)-invariant subbundles of the Hodge bundle
Carlos Matheus, Gabriela Weitze-Schmithuesen
Zorich conjecture for hyperelliptic Rauzy-Veech groups
Artur Avila, Carlos Matheus, Jean-Christophe Yoccoz
Un contre-exemple à la réciproque du critère de Forni pour la positivité des exposants de Lyapunov du cocycle de Kontsevich-Zorich
Vincent Delecroix, Carlos Matheus
Square-tiled cyclic covers
Giovanni Forni, Carlos Matheus, Anton Zorich
On the periodic Schrödinger-Debye equation
Alexander Arbieto, Carlos Matheus
Geometrical versus Topological Properties of Manifolds
Carlos Matheus, Krerley Oliveira
An example of a Teichmuller disk in genus 4 with degenerate Kontsevich-Zorich spectrum
Giovanni Forni, Carlos Matheus
The Kontsevich--Zorich cocycle over Veech--McMullen family of symmetric translation surfaces
Artur Avila, Carlos Matheus, Jean-Christophe Yoccoz
Decidability of chaos for some families of dynamical systems
Alexander Arbieto, Carlos Matheus
Stable sets of certain non-uniformly hyperbolic horseshoes have the expected dimension
Carlos Matheus, Jacob Palis, Jean-Christophe Yoccoz
Non-uniformly hyperbolic horseshoes in the standard family
Carlos Matheus, Carlos Gustavo Moreira, Jacob Palis
SL(2,R)-invariant probability measures on the moduli spaces of translation surfaces are regular
Artur Avila, Carlos Matheus, Jean-Christophe Yoccoz
Semisimplicity of the Lyapunov spectrum for irreducible cocycles
Alex Eskin, Carlos Matheus
Markov spectrum near Freiman's isolated points in $M\setminus L$
Carlos Matheus, Carlos Gustavo Moreira
Axiom A versus Newhouse phenomena for Benedicks-Carleson toy models
Carlos Matheus, Carlos Gustavo Moreira, Enrique Pujals
A criterion for the simplicity of the Lyapunov spectrum of square-tiled surfaces
Carlos Matheus, Martin Moeller, Jean-Christophe Yoccoz
Quelques contributions à la théorie de l'action de SL(2,R) sur les espaces de modules de surfaces plates
Carlos Matheus
Hodge-Teichmueller planes and finiteness results for Teichmueller curves
Carlos Matheus, Alex Wright
Global well-posedness for a NLS-KdV system on $\mathbb{T}$
Carlos Matheus
Immersions with fractal set of points of zero Gauss-Kronecker curvature
Alexander Arbieto, Carlos Matheus
A coding-free simplicity criterion for the Lyapunov exponents of Teichmueller curves
Alex Eskin, Carlos Matheus
Explicit Teichmüller curves with complemetary series
Carlos Matheus, Gabriela Weitze-Schmithüsen
An origami of genus $3$ with arithmetic Kontsevich--Zorich monodromy
Pascal Hubert, Carlos Matheus
A Pasting Lemma I: the case of vector fields
Alexander Arbieto, Carlos Matheus
Global Well-Posedness and Non-linear Stability of Periodic Traveling Waves for a Schrodinger-Benjamin-Ono System
Jaime Angulo, Carlos Matheus, Didier Pilod
$M\setminus L$ near 3
Davi Lima, Carlos Matheus, Carlos Gustavo Moreira +1
The action of the affine diffeomorphisms on the relative homology group of certain exceptionally symmetric origamis
Carlos Matheus, Jean-Christophe Yoccoz
Maximal entropy measures for Viana maps
Alexander Arbieto, Carlos Matheus, Samuel Senti
Continuity of Hausdorff dimension across generic dynamical Lagrange and Markov spectra
Aline Cerqueira, Carlos Matheus, Carlos Gustavo Moreira
Lower bounds on the dimension of the Rauzy gasket
Rodolfo Gutiérrez-Romo, Carlos Matheus
Introduction to Teichmüller theory and its applications to dynamics of interval exchange transformations, flows on surfaces and billiards
Giovanni Forni, Carlos Matheus
Lecture notes on the dynamics of the Weil-Petersson flow
Carlos Matheus
Zero Lyapunov exponents of the Hodge bundle
Giovanni Forni, Carlos Matheus, Anton Zorich
Quaternionic covers and monodromy of the Kontsevich-Zorich cocycle in orthogonal groups
Simion Filip, Giovanni Forni, Carlos Matheus
Some quantitative versions of Ratner's mixing estimates
Carlos Matheus
Equilibrium States for Random Non-uniformly Expanding Maps
Alexander Arbieto, Carlos Matheus, Krerley Oliveira
A remark on capillary surfaces in a 3-dimensional space of constant curvature
Alexander Arbieto, Carlos Matheus, Marcos Petrucio
$HD(M\setminus L)>0.353$
Carlos Matheus, Carlos Gustavo Moreira