Ely Kerman: Publications and Preprints

  • Primes and period growth for Hamiltonain diffeomorphisms,
    in preparation.

  • A symplectic proof of a theorem of Franks, (with B. Collier, B. Reiniger, B. Turmunkh, and A. Zimmer)
    Preprint posted: July, 2011.

  • A Geometric Approach to Low-Rank Matrix Completion, (with Wei Dai and Olgica Milenkovic)
    to appear in IEEE Transactions on Information Theory
    Preprint posted: June, 2010.

  • Subspace evolution and transfer (SET) for low-rank matrix completion, (with Wei Dai and Olgica Milenkovic)
    to appear in IEEE Transactions on Signal Processing
    Preprint posted: June, 2010.

  • New obstructions to symplectic embeddings, (with R. Hind)
    Preprint posted: June 23, 2009.(submitted)

  • Homological resonances for Hamiltonian diffeomorphisms and Reeb flows, (with V. L. Ginzburg)
    International Mathematics Research Notices, 2010, no.1, 53--68.
    Preprint arXiv:0901.4644: posted January 29, 2009.

  • Action selectors and Maslov class rigidity,
    International Mathematics Research Notices, (2009), doi:10.1093/imrn/rnp093.
    Preprint posted: January 12, 2009.

  • Maslov class rigidity for Lagrangian submanifolds via Hofer's geometry, (with N. I. Sirikci)
    Commentarii Mathematici Helvetici, 85, 907--949.
    Preprint posted: August 10, 2008.

  • Displacement energy of coisotropic submanifolds and Hofer's geometry,
    Journal of Modern Dynamics, Volume: 2, Number: 3, July 2008.
    Preprint posted: May 3, 2007.

  • Hofer's geometry and Floer theory under the quantum limit,
    International Mathematics Research Notices, (2008), doi:10.1093/imrn/rnm137.

  • Squeezing in Floer theory and refined Hofer-Zehnder capacities of sets near symplectic submanifolds,
    Geometry and Topology, 9 (2005), 1775--1834.

  • Symplectic homology and periodic orbits near symplectic submanifolds (with K. Cieliebak and V. L. Ginzburg),
    Commentarii Mathematici Helvetici, 79 (2004), 554--581.

  • Length minimizing Hamiltonian paths for symplectically aspherical manifolds (with F. Lalonde),
    Annales de l'Institut Fourier, 53 (2003), 1503--1526.

  • New smooth counterexamples to the Hamiltonian Seifert conjecture,
    The Journal of Symplectic Geometry, 2 (2002), 253--267.

  • Periodic orbits of Hamiltonian flows near symplectic extrema (with V. L. Ginzburg),
    Pacific Journal of Mathematics, 206 (2002), 69--91.

  • Periodic orbits of Hamiltonian flows near symplectic critical submanifolds,
    International Mathematics Research Notices, 17 (1999), 953--969.

  • Periodic orbits in magnetic fields in dimensions greater than two (with V. L. Ginzburg),
    Geometry and Topology in Dynamics, Ed.: M. Barge and K. Kuperberg: Publ. of AMS, Cont. Math. Series, 246 (1999), 113--121.

  • Symplectic geometry and the motion of a particle in a magnetic field ,
    Ph.D. Thesis, University of California at Santa Cruz (2000).

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