extended metric measure spaces 1functional inequalities 1measure concentration 1observable distance 1pyramids 1
From the 1 of 3 linked papers with an AI index.
3 papers
math.MG2026
Pyramids and Extended Metric Measure Spaces
Nicola Gigli, Kohei Suzuki, Simone Vincini
The paper proves that every Gromov pyramid can be represented by an extended metric measure space via a 1‑Lipschitz order, introduces concentrated emm‑spaces and an observable dist…
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
Elastic bodies with kinematic constraints on many small regions
Andrea Braides, Giovanni Noselli, Simone Vincini
We study the equilibrium of hyperelastic solids subjected to kinematic constraints on many small regions, which we call perforations. Such constraints on the displacement are g…