Preprints and papers

 

-Infinitely many periodic orbits of exact magnetic flows on surfaces for almost every subcritical energy level, with Alberto Abbondandolo, Leonardo Macarini and Marco Mazzucchelli, arXiv:1404.7641.

-Invariant distributions, Beurling transforms and tensor tomography in higher dimensions, with Mikko Salo and Gunther Uhlmann, arXiv:1404.7009.

-Symplectic and contact properties of the Mañé critical value of the universal cover, with Alfonso Sorrentino, to appear in NoDEA.

-Conformal great circle flows on the three-sphere, with Adam Harris, arXiv:1308.6591.

-Floer homology for non-resonant magnetic fields on flat tori , with Urs Frauenfelder and Will J. Merry, arXiv:1305.3141.

-On the existence of three closed magnetic geodesics for subcritical energies, with Alberto Abbondandolo and Leonardo Macarini, to appear in Comment. Math. Helv.

-Tensor tomography: progress and challenges, with Mikko Salo and Gunther Uhlmann, to appear in Chinese Ann. Math. Ser. B.

-On the range of the attenuated ray transform for unitary connections, with Mikko Salo and Gunther Uhlmann, to appear in IMRN.

-Spectral rigidity and invariant distributions on Anosov surfaces, with Mikko Salo and Gunther Uhlmann, to appear in J. of Differential Geom.

-Equivariant symplectic homology of Anosov contact structures, with Leonardo Macarini, Bull. Braz. Math. Soc. 43 (2012) 513--527.

-Inverse problems for connections, survey article, Inverse problems and applications: inside out. II, 369--409, Math. Sci. Res. Inst. Publ., 60, Cambridge Univ. Press, Cambridge, 2013.

-Tensor tomography on surfaces, with Mikko Salo and Gunther Uhlmann, Invent. Math. 193 (2013) 229--247.

-Floer homology for magnetic fields with at most linear growth on the universal cover, with Urs Frauenfelder and Will J. Merry, J. Funct. Anal. 262 (2012) 1070--1083

-The attenuated ray transform for connections and Higgs fields, with Mikko Salo and Gunther Uhlmann, Geom.Funct. Anal. 22 (2012) 1460--1489.

-On the growth rate of leaf-wise intersections, with Leonardo Macarini and Will J. Merry, J. Symplectic Geom. 10 (2012) 601--653

-Transparent pairs, J. Geom. Anal. 22 (2012) 1211--1235.

-The contact geometry of the restricted 3-body problem, with Peter Albers, Urs Frauenfelder and Otto van Koert, Comm. Pure Appl. Math. 65 (2012) 229--263.

-Index computations in Rabinowitz Floer homology, with Will J. Merry, J. Fixed Point Theory Appl. 10 (2011) 88--111.

-On the stability of Mañé critical hypersurfaces, with Leonardo Macarini, Calc. Var. Partial Differential Equations 39 (2010) 579--591.

-Stability is not open, with Kai Cieliebak and Urs Frauenfelder, Ann. Inst. Fourier 60 (2010) 2449--2459 (Volume in honour of P. Berard and S. Gallot 60th birthday).

-Bäcklund transformations for transparent connections, J. Reine Angew. Math. 658 (2011) 27--37.

-Stability of Anosov Hamiltonian structures, with Will J. Merry, J. Topol. Anal. 2 (2010) 419--451.

-Symplectic topology of Mañé's critical values, with Kai Cieliebak and Urs Frauenfelder, Geometry & Topology 14 (2010) 1765--1870.

-Helicity and the Mañé critical value, Algebraic & Geometric Topology 9 (2009) 1413--1422.

-Transparent connections over negatively curved surfaces, J. Modern Dynamics 3 (2009) 311--333.

-On the cohomological equation of magnetic flows, with Nurlan Dairbekov, Matemática Contemporânea 34 (2008) 155--193 (Volume in honour of Manfredo DoCarmo's 80th birthday).

-Magnetic flows on Sol-manifolds: dynamical and symplectic aspects, with Leo Butler, Comm. Math. Phys. 284 (2008) 187--202.

-On the injectivity of the X-ray transform for Anosov thermostats, with Dan Jane, Discrete Contin. Dyn. Syst. 24 (2009) 471--487.

-Dynamically convex Finsler metrics and J-holomorphic embedding of asymptotic cylinders, with Adam Harris, Ann. Global Anal. Geom. 34 (2008) 115--134.

-The boundary rigidity problem in the presence of a magnetic field, with Nurlan Dairbekov, Plamen Stefanov and Gunther Uhlmann, Adv. Math. 216 (2007) 535--609.

-Entropy production in thermostats II, with Nurlan Dairbekov, J. Statist. Phys. 127 (2007) 887--914.

-Regularity of weak foliations for thermostats, Nonlinearity 20 (2007) 87--104.

-Entropy production in Gaussian thermostats, with Nurlan Dairbekov, Comm. Math. Phys. 269 (2007) 533--543.

-Rigidity properties of Anosov optical hypersurfaces, with Nurlan Dairbekov, Ergodic Theory and Dynam. Systems 28 (2008) 707--737.

-Collapsing manifolds obtained by Kummer-type constructions, with Jimmy Petean, Trans. Amer. Math. Soc. 361 (2009) 4077--4090.

-Longitudinal KAM-cocycles and action spectra of magnetic flows, with Nurlan Dairbekov, Math. Res. Lett. 12 (2005) 719--729.

-Magnetic rigidity of horocycle flows, Pacific J. Math. 225 (2006) 301--323.

-Zero entropy and bounded topology, with Jimmy Petean, Comment. Math. Helv. 81 (2006) 287--304.

-The longitudinal KAM-cocycle of a magnetic flow, Math. Proc. Cambridge Philos. Soc. 139 (2005) 307--316.

-On the growth rate of contractible closed geodesics on reducible manifolds, with Jimmy Petean, Proceedings of the AlbertoFest, Geometry and dynamics, 191--196, Contemp. Math., 389, Amer. Math. Soc., Providence, RI, 2005.

-Entropy and collapsing of compact complex surfaces, with Jimmy Petean, Proceedings of the London Math. Soc. 89 (2004) 763--786.

-Boundary rigidity for Lagrangian submanifolds, non-removable intersections, and Aubry-Mather theory, with L. Polterovich and K.F. Siburg, Moscow Mathematical Journal 3 (2003) 593--619.

-Periodic orbits for magnetic flows on surfaces, with Gonzalo Contreras and Leonardo Macarini, IMRN 8 (2004) 361--387.

-Collective geodesic flows, with Leo Butler, Annales de l'Institut Fourier 53 (2003) 265--308.

-The pressure of Ricci curvature, with Jimmy Petean, Geom. Dedicata 100 (2003) 93--102.

-The minimal entropy problem for 3-manifolds with zero simplicial volume, with James W. Anderson, Geometric methods in Dynamics I, Asterisque 286 (2003) 63--79.

-The asymptotic Maslov index and its applications with Gonzalo Contreras, Jean-Marc Gambaudo and Renato Iturriaga, Ergodic Theory and Dynam. Systems 23 (2003) 1415--1443. (Erratum)

-Minimal entropy and collapsing with curvature bounded from below, with Jimmy Petean, Inventiones 151 (2003) 415--450.

-Genericity of geodesic flows with positive topological entropy on the 2-sphere, with Gonzalo Contreras, J. Differential Geometry 61 (2002) 1--49.

-Anosov magnetic flows, critical values and topological entropy, with Keith Burns, Nonlinearity 15 (2002) 281--314.

-Connecting orbits between static classes for generic Lagrangian systems with Gonzalo Contreras, Topology 41 (2002) 645--666.





Back to Home Page