(All the publications
appearing on this page must specify the reference ANR-12-BS01-0020)
- Alberto Abbondandolo, Luca Asselle, Gabriele Benedetti, Marco Mazzucchelli, Iskander A. Taimanov, The multiplicity problem for periodic orbits of magnetic flows on the 2-sphere, preprint
- Xifeng Su, Philippe Thieullen, Convergence of discrete Aubry-Mather model in the continuous limit, preprint
- Luca Asselle, Marco Mazzucchelli, On the existence of infinitely many closed geodesics on non-compact manifolds, to appear in Proc. Amer. Math. Soc.
- Colin Guillarmou, Marco Mazzucchelli, Marked boundary rigidity for surfaces, to appear in Ergodic Theory Dynam. Systems.
- Luca Asselle, Marco Mazzucchelli, On Tonelli periodic orbits with low energy on surfaces, preprint.
- Leonardo Macarini, Marco Mazzucchelli, Isometry-invariant geodesics and the fundamental group, II, preprint.
- Marco Mazzucchelli, The Morse index of Chaperon's generating families, to appear in Publicaciones Matemáticas del Uruguay.
- Marco Mazzucchelli, Alfonso Sorrentino, Remarks on the symplectic invariance of Aubry-Mather sets, Comptes Rendus de l'Académie des Sciences de Paris - Séries I 354 (2016), no. 4, 419-423.
- Kohei Soga, Stochastic and variational approach to finite difference approximation of Hamilton-Jacobi equations, preprint.
- Kohei Soga, Selection problems of Z^2-periodic entropy solutions and viscosity solutions, preprint
- A. Bouillard, E. Faou, M. Zavidovique, Fast weak KAM integrators for separable Hamiltonian systems, to appear in Mathematics of Computation.
- A. Davini, A. Fathi et R. Iturriaga, M. Zavidovique, Convergence of the solutions of the discounted equation, preprint
- A. Davini, M. Zavidovique, On the (non) existence of viscosity solutions of multi-time Hamilton-Jacobi equations, J. Differential Equations 258 (2015), no. 2, 362–378.
- A.
Davini, M. Zavidovique, Aubry sets for weakly coupled systems of
Hamilton-Jacobi equations, SIAM J. Math. Anal. 46 (2014), no. 5,
3361–3389.
- Marie-Claude Arnaud, When are the invariant submanifolds of symplectic dynamics Lagrangian?, DCDS-A (Vol. 34, No. 5) May 2014.
- M. Arcostanzo, M.-C. Arnaud, P. Bolle, M. Zavidovique, Tonelli Hamiltonians without conjugate points and C0 integrability, to appear in Mathematische Zeitschrift.
- Marie-Claude Arnaud, Lyapunov exponents of minimizing measures for globally positive diffeomorphisms in all dimensions, preprint.
- Marie-Claude Arnaud, Lyapunov exponents for conservative twisting dynamics: a survey, preprint
- Marie-Claude Arnaud, Pierre Berger, The non-hyperbolicity of irrational invariant curves for twist maps and all that follows, preprint.
- J.
Féjoz, M. Guàrdia, V. Kaloshin and P. Roldán, Arnold diffusion in the
restricted elliptic planar 3-body problem, to appear in J. Eur. Math.
Soc. (2014).
- Jacques Féjoz, On action-angle variables and Poincaré
coordinates, Regular and Chaotic Dynamics, special issue dedicated to
Alain Chenciner on the occasion of his 70th anniversary 18:6 (2013)
708-723.
- Jacques Féjoz, Le problème de la stabilité du Système
solaire, de Lagrange à nos jours, Journée annuelle de la SMF 2013: 200
ans après Lagrange, organisée par P. Pansu.
- G. Contreras, A. Figalli, L. Rifford, Generic hyperbolicity of Aubry sets on surfaces, to appear in Invent. Math.
- G. Barles and E. Topp, Existence, Uniqueness and
Asymptotic Behavior for Nonlocal Parabolic Problems with Dominating
Gradient Terms, preprint.
- Olivier Ley, Vinh Duc Nguyen, Large time behavior for some nonlinear degenerate parabolic equations, J. Math. Pures Appl. 102, 293-314, 2014.
- Guy Barles, Shigeaki Koike, Olivier Ley, Erwin Topp,
Regularity Results and Large Time Behavior for Integro-Differential
Equations with Coercive Hamiltonians, to appear in Calc. Var. Partial
Differential Equations.
- Olivier Ley, Vinh Duc Nguyen, Gradient bounds for
nonlinear degenerate parabolic equations and application to large time
behavior of systems, preprint.
- Alberto Abbondandolo, Leonardo Macarini, Marco Mazzucchelli, and Gabriel P. Paternain, Infinitely many periodic orbits of exact magnetic flows on surfaces for almost every subcritical energy level, to appear in J. Eur. Math. Soc.
- Marco Mazzucchelli, Isometry-invariant geodesics and the fundamental group, Mathematische Annalen 362 (2015), no. 1-2, 265-280.
- Marco Mazzucchelli, On the multiplicity of isometry-invariant geodesics on product manifolds, Algebraic & Geometric Topology 14 (2014) 135–156.
- Albert Fathi, Pierre Pageault, Aubry-Mather theory for homeomorphisms, preprint.
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