Prof. Dr. Alessio Figalli

Submitted Papers

  1. Constraint maps: singularities vs free boundaries (with A. Guerra, S. Kim, and H. Shahgholian)
  2. Sharp stability of the Brunn-Minkowski inequality via optimal mass transportation (with P. van Hintum, and M. Tiba)
  3. Serrin’s overdetermined problem in rough domains (with Y. Ru-Ya Zhang)
  4. On optimal transport maps between 1/d-concave densities (with G. Carlier, and F. Santambrogio)
  5. A two-scale complexity measure for deep learning models (with M. Datres, G. Leonardi, and D. Sutter)
  6. Sharp quantitative stability of the Brunn-Minkowski inequality (with P. van Hintum and M. Tiba)
  7. Regularity theory for nonlocal obstacle problems with critical and subcritical scaling (with X. Ros-Oton and J. Serra)
  8. Strong stability of convexity with respect to the perimeter (with Y. Ru-Ya Zhang)
  9. Sharp stability for Sobolev and log-Sobolev inequalities, with optimal dimensional dependence (with J. Dolbeault, M. J. Esteban, R. L. Frank, M. Loss)
  10. Effective dimension of machine learning models (with A. Abbas, D. Sutter, and S. Woerner)
  11. Complete classification of global solutions to the obstacle problem (with S. Eberle and G.S. Weiss)