L. Schiavo

activity

20162026

most citedThe Dirichlet-Ferguson Diffusion on the Space of Probability Measures over a Closed Riemannian Manifold

24 citations · 74 across the 23 of their papers we have counts for

collaborators

Showing 2025Show all

3 papers · 1 filter

math.FA2025

Non-linear Dirichlet Functionals: Markovianity, Locality, Invariance

Giovanni Brigati, Lorenzo Dello Schiavo

We present in a unified setting the foundations for a theory of non-linear Dirichlet functionals on Hilbert spaces. We prove known and new equivalences between non-linear semigroup…

math.FA2025

The Hellinger-Kantorovich metric measure geometry on spaces of measures

Lorenzo Dello Schiavo, Giacomo Enrico Sodini

Let $(M, g)$ be a Riemannian manifold with Riemannian distance $d_{g}$ , and $M (M)$ be the space of all non-negative Borel measures on $M$ , endowed with the Hellinge…

math.PR2025

Ill-posedness of the pure-noise Dean-Kawasaki equation

Lorenzo Dello Schiavo, Vitalii Konarovskyi

We prove that the Dean-Kawasaki-type stochastic partial differential equation $\partial ρ = \nabla \cdot (ρ ξ) + \nabla \cdot (ρ H (ρ))$ with vector-valued sp…