Prof. Dr. Alessio Figalli

Submitted Papers

  1. Generic regularity of equilibrium measures for the logarithmic potential with external fields (with G. Colombo)
  2. Constraint maps: singularities vs free boundaries (with A. Guerra, S. Kim, and H. Shahgholian)
  3. Sharp stability of the Brunn-Minkowski inequality via optimal mass transportation (with P. van Hintum and M. Tiba)
  4. Serrin’s overdetermined problem in rough domains (with Y. Ru-Ya Zhang)
  5. Sharp quantitative stability of the Brunn-Minkowski inequality (with P. van Hintum and M. Tiba)
  6. Regularity theory for nonlocal obstacle problems with critical and subcritical scaling (with X. Ros-Oton and J. Serra)
  7. Strong stability of convexity with respect to the perimeter (with Y. Ru-Ya Zhang)
  8. Sharp stability for Sobolev and log-Sobolev inequalities, with optimal dimensional dependence (with J. Dolbeault, M. J. Esteban, R. L. Frank, and M. Loss)
  9. Effective dimension of machine learning models (with A. Abbas, D. Sutter, and S. Woerner)