Research
Publications:
M. Braun, C. Rigoni, Heat kernel bounds and Ricci curvature for Lipschitz manifolds, Stochastic Process. Appl. 170, April 2024 [Link]
M. Magnabosco, C. Rigoni, G. Sosa, Convergence of metric measure spaces satisfying the CD condition for negative values of the dimension parameter, Nonlinear Anal. 237, December 2023 [Link];
M. Magnabosco, C. Rigoni, Optimal maps and local-to-global property in negative dimensional spaces with Ricci curvature bounded from below, Tohoku Math. J. 75 (4), December 2023 [Link];
C. Rigoni, E. Stepanov, D. Trevisan, Lie brackets of nonsmooth vector fields and commutation of their flows, J. London Math. Soc. 106 (2), September 2022 [Link];
N. Gigli, C. Rigoni, Partial derivatives in the nonsmooth setting, J. Funct. Anal. 283 (4), August 2022 [Link];
M. Erbar, C. Rigoni, K.-T. Sturm, L. Tamanini, Tamed spaces -- Dirichlet spaces with distribution-valued Ricci bounds, J. Math. Pures Appl. 161, May 2022, pp. 1 - 69 [Link] ;
N. Gigli, C. Rigoni, A note about the strong maximum principle on RCD spaces, Can. Math. Bull. 62 (2), June 2019 , pp. 259 - 266 [Link];
N. Gigli, C. Rigoni, Recognizing the flat torus among RCD*(0,N) spaces via the study of the first cohomology group, Calc. Var. Partial Differ. Equ. 57 (4), June 2018 [Link].
Submitted papers:
A description based on optimal transport for a class of stochastic McKean-Vlasov control problems (joint work with F. C. De Vecchi) [arXiv];
Gromov-Hausdorff stability of tori under Ricci and integral scalar curvature bounds (joint work with S. Honda, C. Ketterer, I. Mondello, R. Perales) [arXiv];
A canonical infinitesimally Hilbertian structure on locally Minkowski spaces (joint work with M. Magnabosco) [arXiv] .