3 papers
math.DG2025
Hausdorff dimension and failure of synthetic curvature bounds in the sub-Lorentzian Heisenberg group
Samuël Borza, Chiara Rigoni, Omar Zoghlami
We study the geodesics, Hausdorff dimension, and curvature bounds of the sub-Lorentzian Heisenberg group. Through an elementary variational approach, we provide a new proof of the…
math.PR2024
A description based on optimal transport for a class of stochastic McKean-Vlasov control problems
Francesco C. De Vecchi, Chiara Rigoni
We study the convergence of an -particle Markovian controlled system to the solution of a family of stochastic McKean-Vlasov control problems, either with a finite horizon or Sc…
math.DG2023
Gromov-Hausdorff stability of tori under Ricci and integral scalar curvature bounds
Shouhei Honda, Christian Ketterer, Ilaria Mondello +2
We establish a nonlinear analogue of a splitting map into a Euclidean space, as a harmonic map into a flat torus. We prove that the existence of such a map implies Gromov-Hausdorff…