Publications


Papers

WARNING: The electronic files included here are the preprint versions and NOT the final published ones.

  • T. Claeys, M. Girotti, D. Stivigny, Large gap asymptotics at the hard edge for product random matrices and Muttalib-Borodin ensembles, to appear on Internat. Math. Res. Notices.
  • M. Girotti, Riemann-Hilbert approach to gap probabilities for the Bessel process, Physica D, 295-296C, 103-121, 2015.
  • M. Girotti, Asymptotics of the Tacnode process: a transition between the gap probabilities from the Tacnode to the Airy process, Nonlinearity 27, 1937-1968, 2014.
  • M. Girotti, Riemann-Hilbert approach to gap probabilities for the Generalized Bessel process, Math. Phys. Anal. Geom. 17 (1), 183-211, 2014.
  • M. Girotti, Vanishing time-relaxation for a phase-field model with entropy balance, Adv. Math. Sci. Appl., 22(2), 553-575, 2012.
  • Ph.D. thesis

    My Ph.D. thesis investigates gap probabilities of some universal kernels that appear in Random Matrix Theory (the file is in PFD/A format).

  • Riemann-Hilbert approach to Gap Probabilities of Determinantal Point Processes, Concordia University, 2014.
  • Master and Bachelor theses

    My Master (Laurea Magistrale) thesis investigates well-posedness and uniqueness of the solution of a system of PDEs describing the evolution of a first-order phase transition in the regime as a time coefficients vanishes. The thesis in written in Italian. The results have also been published (see above).

  • Time-relaxation for a phase-field model with entropy balance, Universitá degli Studi di Milano, 2010.
  • My Bachelor (Laurea Triennale) thesis is a review of the classical theory of magnetic monopole, who was originally introduced by P.A.M. Dirac in 1931. The thesis in written in Italian.

  • Dirac’s magnetic monopole, Universitá degli Studi di Milano, 2008.