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papers

Publications (34)

math.DG2005

Collapsing manifolds obtained by Kummer-type constructions

Gabriel P. Paternain, Jimmy Petean

math.SG2003

Boundary rigidity for Lagrangian submanifolds, non-removable intersections, and Aubry-Mather theory

Gabriel P. Paternain, Leonid Polterovich, Karl Friedrich Siburg

math.DG2011

Transparent pairs

Gabriel P. Paternain

math.DG2007

Dynamically convex Finsler metrics and $J$-holomorphic embedding of asymptotic cylinders

Adam Harris, Gabriel P. Paternain

math.DS2004

The longitudinal KAM-cocycle of a magnetic flow

Gabriel P. Paternain

math.AP2013

On the range of the attenuated ray transform for unitary connections

Gabriel P. Paternain, Mikko Salo, Gunther Uhlmann

math.DS2005

Rigidity properties of Anosov optical hypersurfaces

Nurlan S. Dairbekov, Gabriel P. Paternain

math.DS2006

Regularity of weak foliations for thermostats

Gabriel P. Paternain

math.DG2010

Transparent connections over negatively curved surfaces

Gabriel P. Paternain

math.SG2012

Floer homology for magnetic fields with at most linear growth on the universal cover

Urs Frauenfelder, Will J. Merry, Gabriel P. Paternain

math.DG2010

Bäcklund transformations for transparent connections

Gabriel P. Paternain

math.DS2009

On the stability of Mañé critical hypersurfaces

Leonardo Macarini, Gabriel P. Paternain

math.SG2010

The contact geometry of the restricted 3-body problem

Peter Albers, Urs Frauenfelder, Otto van Koert +1

math.DG2015

Conformal great circle flows on the three-sphere

Adam Harris, Gabriel P. Paternain

math.DS2008

On the injectivity of the X-ray transform for Anosov thermostats

Dan Jane, Gabriel P. Paternain

math.SG2010

Index computations in Rabinowitz Floer homology

Will J. Merry, Gabriel P. Paternain

math.DG2015

Invariant distributions, Beurling transforms and tensor tomography in higher dimensions

Gabriel P. Paternain, Mikko Salo, Gunther Uhlmann

math.DG2012

Tensor tomography on surfaces

Gabriel P. Paternain, Mikko Salo, Gunther Uhlmann

math.DS2009

Helicity and the Mañé critical value

Gabriel P. Paternain

math.DS2000

The minimal entropy problem for 3-manifolds with zero simplicial volume

James W. Anderson, Gabriel P. Paternain

math.DS2010

Stability of Anosov Hamiltonian Structures

Will J. Merry, Gabriel P. Paternain

math.SG2011

On the growth rate of leaf-wise intersections

Leonardo Macarini, Will J. Merry, Gabriel P. Paternain

math.SG2012

Equivariant symplectic homology of Anosov contact structures

Leonardo Macarini, Gabriel P. Paternain

math.DS2008

Magnetic flows on Sol-manifolds: dynamical and symplectic aspects

Leo T. Butler, Gabriel P. Paternain

math.DS2013

Symplectic and contact properties of the Mañé critical value of the universal cover

Gabriel P. Paternain, Alfonso Sorrentino

math.DS2004

Magnetic Rigidity of Horocycle flows

Gabriel P. Paternain

math.DG2004

Zero entropy and bounded topology

Gabriel P. Paternain, Jimmy Petean

math.DS2008

On the cohomological equation of magnetic flows

Nurlan S. Dairbekov, Gabriel P. Paternain

math.DG2012

The attenuated ray transform for connections and Higgs fields

Gabriel P. Paternain, Mikko Salo, Gunther Uhlmann

math.SG2013

Floer homology for non-resonant magnetic fields on flat tori

Urs Frauenfelder, Will J. Merry, Gabriel P. Paternain

math.DG2003

Entropy and collapsing of compact complex surfaces

Gabriel P. Paternain, Jimmy Petean

math.DG2014

Spectral rigidity and invariant distributions on Anosov surfaces

Gabriel P. Paternain, Mikko Salo, Gunther Uhlmann

math.DG2013

Tensor tomography: progress and challenges

Gabriel P. Paternain, Mikko Salo, Gunther Uhlmann

math.DS2006

Entropy production in thermostats II

Nurlan S. Dairbekov, Gabriel P. Paternain