24 citations · 74 across the 23 of their papers we have counts for
6 papers · 1 filter
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…
The Hellinger-Kantorovich metric measure geometry on spaces of measures
Lorenzo Dello Schiavo, Giacomo Enrico Sodini
Let be a Riemannian manifold with Riemannian distance , and be the space of all non-negative Borel measures on , endowed with the Hellinge…
Gradient flows of -convex functions with negative
Lorenzo Dello Schiavo, Mattia Magnabosco, Chiara Rigoni
We discuss -convexity and gradient flows for -convex functionals on metric spaces, in the case of real and negative . In this generality, it is necessary to co…
Ergodic Decompositions of Dirichlet Forms under Order Isomorphisms
Lorenzo Dello Schiavo, Melchior Wirth
We study ergodic decompositions of Dirichlet spaces under intertwining via unitary order isomorphisms. We show that the ergodic decomposition of a quasi-regular Dirichlet space is…
Rademacher-type Theorems and Sobolev-to-Lipschitz Properties for Strongly Local Dirichlet Spaces
Lorenzo Dello Schiavo, Kohei Suzuki
We extensively discuss the Rademacher and Sobolev-to-Lipschitz properties for generalized intrinsic distances on strongly local Dirichlet spaces possibly without square field opera…
A Rademacher-type Theorem on -Wasserstein Spaces over Closed Riemannian Manifolds
Lorenzo Dello Schiavo
Let be any Borel probability measure on the -Wasserstein space over a closed Riemannian manifold . We consider the Dirichlet form $\mat…