Marco Mazzucchelli
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Prépublications

Articles

  • (avec Gonzalo Contreras, Gerhard Knieper, et Benjamin Schulz) Surfaces of section for geodesic flows of closed surfaces
    à paraître dans Ergodic Theory and Dynamical Systems
  • (avec Philippe Bolle et Andrea Venturelli) On potentials whose level sets are orbits
    Calculus of Variations and Partial Differential Equations 63 (2024), no. 7, Paper No. 187
    doi
  • (avec Luca Baracco, Olga Bernardi, et Christian Lange) On the local maximizers of higher capacity ratios
    à paraître dans Annali della Scuola Normale Superiore di Pisa, Classe di Scienze
    doi
  • (avec Viktor L. Ginzburg et Başak Z. Gürel) Barcode entropy of geodesic flows
    à paraître dans Journal of the European Mathematical Society
  • (avec Gonzalo Contreras) Proof of the C2-stability conjecture for geodesic flows of closed surfaces
    Duke Mathematical Journal 173 (2024), no. 2, 347-390
    doi
  • (avec Gonzalo Contreras) Existence of Birkhoff sections for Kupka-Smale Reeb flows of closed contact 3-manifolds
    Geometric And Functional Analysis 32 (2022), no. 5, 951-979
    doi
  • (avec Marco Radeschi) On the structure of Besse convex contact spheres
    Transactions of the American Mathematical Society 376 (2023), no. 3, 2125-2153
    doi
  • (avec Colin Guillarmou et Leo Tzou) Asymptotically Euclidean metrics without conjugate points are flat
    The Journal of Geometric Analysis 33 (2023), no. 2, paper no. 37
    doi
  • (avec Alberto Abbondandolo et Christian Lange) Higher systolic inequalities for 3-dimensional contact manifolds
    Journal de l'École polytechnique - Mathématiques 9 (2022), 807-851
    doi
  • (avec Guido De Philippis, Michele Marini, et Stefan Suhr) Closed geodesics on reversible Finsler 2-spheres
    Journal of Fixed Point Theory and Applications 24 (2022), no. 2, paper no. 19 (Claude Viterbo's 60th birthday Festschrift)
    doi
  • (avec Alberto Abbondandolo) The monotonicity of the systole of convex Riemannian two-spheres
    appendice de l'article Relative Hofer–Zehnder capacity and positive symplectic homology de Gabriele Benedetti et Jungsoo Kang
    Journal of Fixed Point Theory and Applications 24 (2022), no. 2, paper no. 44 (Claude Viterbo's 60th birthday Festschrift)
    doi
  • (avec Stefan Suhr) A min-max characterization of Zoll Riemannian metrics
    Mathematical Proceedings of the Cambridge Philosophical Society 172 (2022), no. 3, 591-615
    doi
  • (avec Viktor L. Ginzburg et Başak Z. Gürel) On the spectral characterization of Besse and Zoll Reeb flows
    Annales de l'Institut Henri Poincaré C, Analyse Non Linéaire 38 (2021), no. 3, 549-576
    doi
  • (avec Colin Guillarmou et Leo Tzou) Boundary and lens rigidity for non-convex manifolds
    American Journal of Mathematics 143 (2021), no. 2, 533-575
    doi
  • (avec Luca Asselle et Gabriele Benedetti) Minimal boundaries in Tonelli Lagrangian systems
    International Mathematics Research Notices 2021, no. 20, 15746-15787
    doi
  • (avec Daniel Cristofaro-Gardiner) The action spectrum characterizes closed contact 3-manifolds all of whose Reeb orbits are closed
    Commentarii Mathematici Helvetici 95 (2020), no. 3, 461-481.
    doi
  • (avec Luca Asselle) Waist theorems for Tonelli systems in higher dimensions
    Manuscripta Mathematica 163 (2020), no. 1-2, 185-199
    doi
  • (avec Luca Asselle) On Tonelli periodic orbits with low energy on surfaces
    Transactions of the American Mathematical Society 371 (2019), no. 5, 3001-3048
    doi
  • (avec Stefan Suhr) A characterization of Zoll Riemannian metrics on the 2-sphere
    Bulletin of the London Mathematical Society 50 (2018), 997-1006
    doi corrigendum
  • (avec Luca Asselle) Closed geodesics with local homology in maximal degree on non-compact manifolds
    Differential Geometry and its Applications 58 (2018), 17-51
    doi corrigendum
  • (avec Colin Guillarmou) Marked boundary rigidity for surfaces
    Ergodic Theory and Dynamical Systems 38 (2018), no. 4, 1459-1478
    doi
  • (avec Leonardo Macarini) Isometry-invariant geodesics and the fundamental group, II
    Advances in Mathematics 308 (2017), 671-698
    doi
  • (avec A. Abbondandolo, L. Asselle, G. Benedetti, et I. A. Taimanov) The multiplicity problem for periodic orbits of magnetic flows on the 2-sphere
    Advanced Nonlinear Studies 17 (2017), no. 1, 17-30
    doi
  • (avec Luca Asselle) On the existence of infinitely many closed geodesics on non-compact manifolds
    Proceedings of the American Mathematical Society 145 (2017), no. 6, 2689-2697
    doi
  • (avec A. Abbondandolo, L. Macarini, et G. P. Paternain) Infinitely many periodic orbits of exact magnetic flows on surfaces for almost every subcritical energy level
    Journal of the European Mathematical Society 19 (2017), no. 2, 551-579
    doi
  • The Morse index of Chaperon's generating families
    Publicaciones Matemáticas del Uruguay 16 (2016), 81-125
    doi
  • (avec 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
    doi
  • Isometry-invariant geodesics and the fundamental group
    Mathematische Annalen 362 (2015), no. 1-2, 265-280
    doi
  • On the multiplicity of isometry-invariant geodesics on product manifolds
    Algebraic & Geometric Topology 14 (2014), 135-156
    doi
  • Symplectically degenerate maxima via generating functions
    Mathematische Zeitschrift 275 (2013), no. 3-4, 715-739
    doi
  • On the multiplicity of non-iterated periodic billiard trajectories
    Pacific Journal of Mathematics 252 (2011), no. 1, 181-205
    doi
  • (avec Peter Albers) Periodic bounce orbits of prescribed energy
    International Mathematics Research Notices 2011, no. 14, 3289-3314
    doi
  • The Lagrangian Conley conjecture
    Commentarii Mathematici Helvetici 86 (2011), no. 1, 189-246
    doi
  • (avec Alessandra Cherubini) On the Decidability of the Word Problem for Amalgamated Free Products of Inverse Semigroups
    Semigroup Forum 76 (2008), no. 2, 309-329
    doi

Livres

  • Critical point theory for Lagrangian systems
    Progress in Mathematics, vol. 293, Birkhäuser
    page web de l'editeur : doi corrigendum

Thèses

Mes coordonnées :
Marco Mazzucchelli, UMPA, ENS de Lyon, 46 allée d'Italie, 69364 Lyon, France
+33426233839
marco.mazzucchelli@ens-lyon.fr