3 papers
math.MG2026
Pyramids and Extended Metric Measure Spaces
Nicola Gigli, Kohei Suzuki, Simone Vincini
A pyramid is a generalisation of metric measure spaces (mm-spaces) introduced by M.~Gromov (Birkhäuser 1999) to establish a geometric framework for measure-concentration problems.…
math.MG2024
Stability of the heat flow under convergence in concentration and consequences
Nicola Gigli, Simone Vincini
We extend to the framework of convergence in concentration virtually all the results concerning stability of Sobolev functions and differential operators known to be in place under…
math.AP2024
Comments on the regularity of harmonic maps between singular spaces
Luca Gennaioli, Nicola Gigli, Hui-Chun Zhang +1
In this work we are going to establish Hölder continuity of harmonic maps from an open set in an space valued into a space, with the constraint…