| Publication | Date of Publication | Type |
|---|
| Symplectomorphisms with positive metric entropy | 2023-09-20 | Paper |
| KAM, Lyapunov exponents, and the Spectral Dichotomy for typical one-frequency Schrodinger operators | 2023-07-20 | Paper |
| Dry Ten Martini Problem in the non-critical case | 2023-06-28 | Paper |
| Continuity of the Lyapunov exponents of random matrix products | 2023-05-10 | Paper |
| The spectrum of Schrödinger operators with randomly perturbed ergodic potentials | 2023-04-27 | Paper |
| Analytic maps of parabolic and elliptic type with trivial centralisers | 2023-03-21 | Paper |
| Quantitative weak mixing for interval exchange transformations | 2023-03-14 | Paper |
| Schrödinger operators with potentials generated by hyperbolic transformations. I: Positivity of the Lyapunov exponent | 2023-03-09 | Paper |
| The Spectrum of Schr\"odinger Operators with Randomly Perturbed Ergodic Potentials | 2022-11-03 | Paper |
| Lebesgue measure of Feigenbaum Julia sets | 2022-03-04 | Paper |
| Absolute continuity, Lyapunov exponents, and rigidity II: systems with compact center leaves | 2022-01-17 | Paper |
| Non-differentiable irrational curves for twist map | 2022-01-17 | Paper |
| On the abominable properties of the almost Mathieu operator with well approximated frequencies | 2021-10-15 | Paper |
| Mixing for smooth time-changes of general nilflows | 2021-06-14 | Paper |
| Invariant graphs and spectral type of Schr\"odinger operators | 2021-06-07 | Paper |
| Quantitative weak mixing for interval exchange transformations | 2021-05-21 | Paper |
| Smooth Siegel disks everywhere | 2021-05-11 | Paper |
| Stable accessibility with 2-dimensional center | 2021-05-11 | Paper |
| \(C^1\) density of stable ergodicity | 2021-01-25 | Paper |
| Schr\"odinger Operators With Potentials Generated by Hyperbolic Transformations: I. Positivity of the Lyapunov Exponent | 2020-11-19 | Paper |
| Some Monoids of Pisot Matrices | 2020-07-07 | Paper |
| On mixing diffeomorphisms of the disc | 2020-06-02 | Paper |
| Analytic maps of parabolic and elliptic type with trivial centralisers | 2020-03-30 | Paper |
| Recurrence for the wind-tree model | 2020-01-16 | Paper |
| Livšic theorem for diffeomorphism cocycles | 2019-09-11 | Paper |
| The Kontsevich-Zorich cocycle over Veech-McMullen family of symmetric translation surfaces | 2019-06-27 | Paper |
| Weak mixing properties of interval exchange transformations and translation flows | 2018-11-23 | Paper |
| Statistical properties of quadratic polynomials with a neutral fixed point | 2018-08-24 | Paper |
| Second phase transition line | 2018-02-12 | Paper |
| Zorich conjecture for hyperelliptic Rauzy-Veech groups | 2018-02-12 | Paper |
| Sharp phase transitions for the almost Mathieu operator | 2017-11-06 | Paper |
| Symplectic and isometric \(\mathrm{SL}(2,\mathbb{R})\)-invariant subbundles of the Hodge bundle | 2017-11-01 | Paper |
| Spectral theory of extended Harper's model and a question by Erdős and Szekeres | 2017-10-27 | Paper |
| Diffeomorphisms with positive metric entropy | 2017-02-07 | Paper |
| Towers for commuting endomorphisms, and combinatorial applications | 2017-02-03 | Paper |
| On the Hausdorff dimension of the Rauzy gasket | 2017-01-12 | Paper |
| Diffusion for chaotic plane sections of 3-periodic surfaces | 2016-12-23 | Paper |
| An integrable deformation of an ellipse of small eccentricity is an ellipse | 2016-12-07 | Paper |
| Weak mixing directions in non-arithmetic Veech surfaces | 2016-07-25 | Paper |
| Global theory of one-frequency Schrödinger operators | 2015-11-20 | Paper |
| Monotonic cocycles | 2015-11-04 | Paper |
| The visits to zero of a random walk driven by an irrational rotation | 2015-09-29 | Paper |
| Absolute continuity, Lyapunov exponents and rigidity. I: Geodesic flows | 2015-09-21 | Paper |
| On manifolds supporting distributionally uniquely ergodic diffeomorphisms | 2015-04-08 | Paper |
| On the Kotani-Last and Schrödinger conjectures | 2015-02-02 | Paper |
| Complex one-frequency cocycles | 2014-12-05 | Paper |
| Singular density of states measure for subshift and quasi-periodic Schrödinger operators | 2014-07-29 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5494662 | 2014-07-28 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5494663 | 2014-07-28 | Paper |
| On rigidity of critical circle maps | 2014-06-24 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5401576 | 2014-03-10 | Paper |
| \(\mathrm{SL}(2,\mathbb R)\)-invariant probability measures on the moduli spaces of translation surfaces are regular | 2014-02-18 | Paper |
| Small eigenvalues of the Laplacian for algebraic measures in moduli space, and mixing properties of the Teichmüller flow | 2013-09-02 | Paper |
| The full renormalization horseshoe for unimodal maps of higher degree: exponential contraction along hybrid classes | 2012-12-03 | Paper |
| Exponential mixing for the Teichmüller flow in the space of quadratic differentials | 2012-08-17 | Paper |
| Mixing for the time-changes of Heisenberg nilflows | 2012-06-28 | Paper |
| Nonuniform hyperbolicity, global dominated splittings and generic properties of volume-preserving diffeomorphisms | 2012-05-29 | Paper |
| A KAM scheme for SL(2, \(\mathbb R\)) cocycles with Liouvillean frequencies | 2012-01-24 | Paper |
| Opening gaps in the spectrum of strictly ergodic Schrödinger operators | 2012-01-09 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3096559 | 2011-11-11 | Paper |
| Density of positive Lyapunov exponents for 𝑆𝐿(2,ℝ)-cocycles | 2011-09-27 | Paper |
| Bulk universality and clock spacing of zeros for ergodic Jacobi matrices with absolutely continuous spectrum | 2011-09-15 | Paper |
| Cohomological equations and invariant distributions for minimal circle diffeomorphisms | 2011-07-14 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3006444 | 2011-06-14 | Paper |
| Hölder continuity of absolutely continuous spectral measures for one-frequency Schrödinger operators | 2011-02-14 | Paper |
| On the regularization of conservative maps | 2011-01-14 | Paper |
| Parapuzzle of the Multibrot set and typical dynamics of unimodal maps | 2010-12-10 | Paper |
| Uniformly hyperbolic finite-valued \(\mathrm{SL}(2,\mathbb R)\)-cocycles | 2010-10-07 | Paper |
| Extremal Lyapunov exponents: an invariance principle and applications | 2010-06-21 | Paper |
| Almost reducibility and absolute continuity I | 2010-06-03 | Paper |
| Uniform exponential growth for some \(SL(2,\mathbb R)\) matrix products | 2010-04-06 | Paper |
| Density of positive Lyapunov exponents for quasiperiodic SL\((2, \mathbb R)\)-cocycles in arbitrary dimension | 2010-04-06 | Paper |
| Almost localization and almost reducibility | 2010-01-28 | Paper |
| Nonuniform center bunching and the genericity of ergodicity among $C^1$ partially hyperbolic symplectomorphisms | 2010-01-08 | Paper |
| Combinatorial rigidity for unicritical polynomials | 2009-10-02 | Paper |
| On the spectrum and Lyapunov exponent of limit periodic Schrödinger operators | 2009-09-25 | Paper |
| Solving the Ten Martini Problem | 2009-08-05 | Paper |
| The Ten Martini problem | 2009-07-15 | Paper |
| Global theory of one-frequency Schrodinger operators I: stratified analyticity of the Lyapunov exponent and the boundary of nonuniform hyperbolicity | 2009-05-25 | Paper |
| Cantor spectrum for Schrödinger operators with potentials arising from generalized skew-shifts | 2009-02-03 | Paper |
| A uniform dichotomy for generic ${\rm SL}(2,{\mathbb{R}})$ cocycles over a minimal base | 2008-11-14 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3530413 | 2008-10-20 | Paper |
| The absolutely continuous spectrum of the almost Mathieu operator | 2008-10-16 | Paper |
| Distortion elements in $Diff^\infty(R/Z)$ | 2008-08-17 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3504499 | 2008-06-11 | Paper |
| Absolute continuity of the integrated density of states for the almost Mathieu operator with non-critical coupling | 2008-04-23 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5457430 | 2008-04-14 | Paper |
| Generic expanding maps without absolutely continuous invariant \(\sigma\)-finite measure | 2008-03-06 | Paper |
| Simplicity of Lyapunov spectra: a sufficient criterion | 2008-03-06 | Paper |
| Hausdorff dimension and conformal measures of Feigenbaum Julia sets | 2008-02-12 | Paper |
| Reducibility or nonuniform hyperbolicity for quasiperiodic Schrödinger cocycles | 2008-02-06 | Paper |
| Weak mixing for interval exchange transformations and translation flows | 2007-08-20 | Paper |
| Simplicity of Lyapunov spectra: proof of the Zorich-Kontsevich conjecture | 2007-06-22 | Paper |
| A genericC1map has no absolutely continuous invariant probability measure | 2007-01-29 | Paper |
| Exponential mixing for the Teichmüller flow | 2007-01-19 | Paper |
| Smoothness of solenoidal attractors | 2006-09-14 | Paper |
| A generic $C^1$ map has no absolutely continuous invariant probability measure | 2006-05-29 | Paper |
| Generic singular spectrum for ergodic Schrödinger operators | 2006-03-10 | Paper |
| Dynamics in the moduli space of Abelian differentials | 2006-02-22 | Paper |
| Statistical properties of unimodal maps | 2005-09-12 | Paper |
| Statistical properties of unimodal maps: The quadratic family | 2005-09-01 | Paper |
| Siegel disks with smooth boundaries | 2005-06-29 | Paper |
| Quasisymmetric robustness of the Collet-Eckmann condition in the quadratic family | 2005-02-11 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4832191 | 2005-01-04 | Paper |
| Convergence of an exact quantization scheme | 2004-11-11 | Paper |
| Regular or stochastic dynamics in real analytic families of unimodal maps | 2004-07-07 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4463904 | 2004-06-08 | Paper |
| Robust transitivity and topological mixing for 𝐶¹-flows | 2004-01-07 | Paper |
| A formula with some applications to the theory of Lyapunov exponents | 2003-10-27 | Paper |
| Bifurcation of unimodal maps | 2003-07-10 | Paper |
| Statistical properties of unimodal maps: physical measures, periodic orbits and pathological laminations | 2003-06-10 | Paper |
| Smooth Siegel disks via semicontinuity: a remark on a proof of Buff and Cheritat | 2003-05-19 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2770245 | 2002-08-08 | Paper |
| Infinitesimal perturbations of rational maps | 2002-01-01 | Paper |
