| Publication | Date of Publication | Type |
|---|
| Length spectrum rigidity for piecewise analytic Bunimovich billiards | 2023-10-25 | Paper |
| Marked length spectral determination of analytic chaotic billiards with axial symmetries | 2023-06-28 | Paper |
| Birkhoff Conjecture for nearly centrally symmetric domains | 2023-06-21 | Paper |
| On some invariants of Birkhoff billiards under conjugacy | 2022-11-04 | Paper |
| Inverse problems and rigidity questions in billiard dynamics | 2022-02-04 | Paper |
| On some invariants of Birkhoff billiards under conjugacy | 2021-05-30 | Paper |
| On the finite dimensionality of integrable deformations of strictly convex integrable billiard tables | 2020-05-29 | Paper |
| Arnold Diffusion for Smooth Systems of Two and a Half Degrees of Freedom | 2020-05-29 | Paper |
| Marked length spectrum, homoclinic orbits and the geometry of open dispersing billiards | 2020-04-07 | Paper |
| Dynamics of the dominant Hamiltonian | 2019-06-05 | Paper |
| Asymptotic density of collision orbits in the restricted circular planar 3 body problem | 2019-06-03 | Paper |
| Global instability in the restricted planar elliptic three body problem | 2019-03-26 | Paper |
| On the integrability of Birkhoff billiards | 2019-02-27 | Paper |
| Density of convex billiards with rational caustics | 2018-10-18 | Paper |
| Nonisometric domains with the same Marvizi-Melrose invariants | 2018-10-16 | Paper |
| On the local Birkhoff conjecture for convex billiards | 2018-06-19 | Paper |
| Nearly circular domains which are integrable close to the boundary are ellipses | 2018-05-24 | Paper |
| On the marked length spectrum of generic strictly convex billiard tables | 2018-03-06 | Paper |
| A locally integrable non-separable analytic geodesic flow | 2018-03-03 | Paper |
| Dynamical spectral rigidity among \(\mathbb{Z}_2\)-symmetric strictly convex domains close to a circle | 2017-07-21 | Paper |
| Random Iteration of Cylinder Maps and diffusive behavior away from resonances | 2017-05-24 | Paper |
| Arnold diffusion in arbitrary degrees of freedom and normally hyperbolic invariant cylinders | 2017-03-28 | Paper |
| Erratum to: ``Growth of Sobolev norms in the cubic defocusing nonlinear Schrödinger equation | 2017-03-13 | Paper |
| An integrable deformation of an ellipse of small eccentricity is an ellipse | 2016-12-07 | Paper |
| Kirkwood gaps and diffusion along mean motion resonances in the restricted planar three-body problem | 2016-11-22 | Paper |
| A second order expansion of the separatrix map for trigonometric perturbations of a priori unstable systems | 2016-10-21 | Paper |
| A note on micro-instability for Hamiltonian systems close to integrable | 2016-03-03 | Paper |
| Normally Hyperbolic Invariant Laminations and diffusive behaviour for the generalized Arnold example away from resonances | 2015-11-16 | Paper |
| Growth of Sobolev norms in the cubic defocusing nonlinear Schrödinger equation | 2015-03-25 | Paper |
| Random Iteration of Maps on a Cylinder and diffusive behavior | 2015-01-14 | Paper |
| Orbits of nearly integrable systems accumulating to KAM tori | 2014-12-22 | Paper |
| Dynamics of the dominant Hamiltonian, with applications to Arnold diffusion | 2014-10-07 | Paper |
| Generic diffusion for a class of non-convex Hamiltonians with two degrees of freedom | 2014-08-19 | Paper |
| Arnol′d Diffusion in a Pendulum Lattice | 2014-04-30 | Paper |
| A strong form of Arnold diffusion for two and a half degrees of freedom | 2012-12-05 | Paper |
| An example of a nearly integrable Hamiltonian system with a trajectory dense in a set of maximal Hausdorff dimension | 2012-11-29 | Paper |
| Finiteness of central configurations of five bodies in the plane | 2012-08-30 | Paper |
| A Cr unimodal map with an arbitrary fast growth of the number of periodic points | 2012-05-24 | Paper |
| On conjugacy of convex billiards | 2012-03-06 | Paper |
| Normally hyperbolic invariant manifolds near strong double resonance | 2012-02-05 | Paper |
| Arnold diffusion in arbitrary degrees of freedom and crumpled 3-dimensional normally hyperbolic invariant cylinders | 2011-12-12 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3099074 | 2011-12-01 | Paper |
| Destruction of invariant curves in the restricted circular planar three-body problem by using comparison of action | 2011-09-14 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3059368 | 2010-12-08 | Paper |
| Conservative homoclinic bifurcations and some applications | 2010-11-01 | Paper |
| Geometry of Arnold Diffusion | 2008-12-16 | Paper |
| An example of Arnold diffusion for near-integrable Hamiltonians | 2008-08-07 | Paper |
| Stretched exponential estimates on growth of the number of periodic points for prevalent diffeomorphisms. I | 2007-05-29 | Paper |
| Generic 3-dimensional volume-preserving diffeomorphisms with superexponential growth of number of periodic orbits | 2007-04-10 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3424668 | 2007-03-05 | Paper |
| How often surface diffeomorphisms have infinitely many sinks and hyperbolicity of periodic points near a homoclinic tangency | 2007-01-09 | Paper |
| MATHER THEORY, WEAK KAM THEORY, AND VISCOSITY SOLUTIONS OF HAMILTON-JACOBI PDE'S | 2006-11-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5490974 | 2006-09-26 | Paper |
| The effect of projections on fractal sets and measures in Banach spaces | 2006-08-10 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5290231 | 2006-04-28 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3371985 | 2006-02-22 | Paper |
| On diffusion in high-dimensional Hamiltonian systems | 2005-12-22 | Paper |
| On Finiteness in Differential Equations and Diophantine Geometry | 2005-11-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5465717 | 2005-08-12 | Paper |
| Sample path properties of the stochastic flows. | 2004-09-15 | Paper |
| A limit shape theorem for periodic stochastic dispersion | 2004-08-16 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4466586 | 2004-06-08 | Paper |
| The existential Hilbert 16-th problem and an estimate for cyclicity of elementary polycycles | 2003-08-17 | Paper |
| Hausdorff dimension in stochastic dispersion | 2003-08-06 | Paper |
| The Hilbert-Arnold problem and an estimate of the cyclicity of polycycles of the plane and in space | 2002-12-26 | Paper |
| Diophantine properties of elements of \(SO(3)\) | 2002-10-20 | Paper |
| A stretched exponential bound on the rate of growth of the number of periodic points for prevalent diffeomorphisms I | 2001-12-17 | Paper |
| A stretched exponential bound on the rate of growth of the number of periodic points for prevalent diffeomorphisms II | 2001-12-17 | Paper |
| Around Hilbert-Arnold Problem | 2001-11-05 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2714698 | 2001-06-20 | Paper |
| An extension of the Artin-Mazur theorem | 2001-05-14 | Paper |
| Prevalence in the space of smooth mappings and the prevalent Kupka-Smale theorem | 2001-02-13 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4955240 | 2000-12-04 | Paper |
| The Hilbert 16-th problem and an estimate for cyclicity of an elementary polycycle | 2000-10-17 | Paper |
| Generic diffeomorphisms with superexponential growth of number of periodic orbits | 2000-10-08 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4945323 | 2000-03-23 | Paper |
| Regularity of embeddings of infinite-dimensional fractal sets into finite-dimensional spaces | 2000-02-28 | Paper |
| Prevalence in the space of finitely smooth maps | 1998-10-11 | Paper |
| How projections affect the dimension spectrum of fractal measures | 1998-08-16 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4346157 | 1997-08-05 | Paper |
