Research

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Publications

  • Y. Canzani, D. Jakobson and J. Toth. On the distribution of perturbations of Schrödinger eigenfunctions. Submitted for publication. Preprint arXiv: 1210.4499.


  • Y. Canzani. On the multiplicity of eigenvalues of conformally covariant operators. Submitted for publication. Preprint arXiv: 1207.0648.


  • Y. Canzani, D. Jakobson, R. Gover and R. Ponge. Conformal invariants from nodal sets. To appear in International Mathematics Research Notices. Preprint arXiv: 1208.3040.


  • Y. Canzani, D. Jakobson, R. Gover and R. Ponge. Nullspaces of Conformally Invariant Operators. Applications to Q_k-curvature. Submitted for publication. Preprint arXiv: 1206.0517.


  • Y. Canzani, D. Jakobson and I. Wigman. Scalar curvature and Q-curvature of random metrics.
    Short announcement: Electronic Research announcements in Mathematical Sciences, Volume 17, 2010, pp. 43-56. Journal link.
    Long version: to appear in the Journal of Geometric Analysis. Preprint arXiv: 1002.0030.



Ongoing projects

  • Y. Canzani and J.Toth. Counting intersections of nodal sets of Laplace eigenfunctions with real analytic curves.


  • Y. Canzani, D. Jakobson, R. Gover and R. Ponge. Conformal invariants II: high-dimensional nullspace