René Quilodrán - Papers

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Preprints and papers:

  1. Nonexistence of extremals for the adjoint restriction inequality on the hyperboloid.
    Submitted.   (arXiv:1108.6324)
  2. On extremizing sequences for the adjoint restriction inequality on the cone.
    Accepted for publication.   (arXiv:1108.6081)
  3. Gaussians rarely extremize adjoint Fourier restriction inequalities for paraboloids.
    (with M. Christ)
    Accepted for publication.   (arXiv:1012.1346)
  4. The joints problem in Rn.
    SIAM J. Discrete Math. Volume 23, Issue 4, pp. 2211-2213 (2010).   (arXiv:0906.0555)   (Publisher web site)

Expository papers:

  1. Introduction to extremals for Fourier restriction inequalities, 2011.

  2. Introduction to the joints problem, 2011.

Dissertations:

  1. On extremizers for adjoint Fourier restriction inequalities and a result in incidence geometry. (Abstract).
    PhD thesis, University of California, Berkeley, May 2012. Advisor: Michael Christ.
  2. Estudio de ecuaciones diferenciales para un lattice de partículas. (in Spanish) (Abstract).
    Study of differential equations for a lattice of particles. M. Eng. dissertation, University of Chile, August 2006.
    Memoria para el título de Ingeniero Civil Matemático, Universidad de Chile, Agosto 2006. Advisor: Patricio Felmer.