Prof. Dr. Alessio Figalli

Submitted Papers

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