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.
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