L. Schiavo

activity

20182022

most citedConfiguration spaces over singular spaces -- I. Dirichlet-Form and Metric Measure Geometry

6 citations · 8 across the 2 of their papers we have counts for

collaborators

4 papers

math.MG2022★ 2 cited

Configuration Spaces over Singular Spaces -- II. Curvature

Lorenzo Dello Schiavo, Kohei Suzuki

This is the second paper of a series on configuration spaces $Υ$ over singular spaces $X$ . Here, we focus on geometric aspects of the extended metric measure space $(Υ, \mathsf{d}_…

math.PR2021★ 6 cited

Configuration spaces over singular spaces -- I. Dirichlet-Form and Metric Measure Geometry

Lorenzo Dello Schiavo, Kohei Suzuki

We construct a canonical differential structure on the configuration space $Υ$ over a singular base space $X$ and with a general invariant measure $μ$ on $Υ$ . We present an analyti…

math.PR2018

Characteristic Functionals of Dirichlet Measures

L. Dello Schiavo

We compute characteristic functionals of Dirichlet-Ferguson measures over a locally compact Polish space and prove continuous dependence of the random measure on the parameter meas…

math.FA2018

A Rademacher-type Theorem on $L^{2}$ -Wasserstein Spaces over Closed Riemannian Manifolds

Lorenzo Dello Schiavo

Let $P$ be any Borel probability measure on the $L^{2}$ -Wasserstein space $(P_{2} (M), W_{2})$ over a closed Riemannian manifold $M$ . We consider the Dirichlet form $\mat…

Configuration Spaces over Singular Spaces -- II. Curvature

Configuration spaces over singular spaces -- I. Dirichlet-Form and Metric Measure Geometry

Characteristic Functionals of Dirichlet Measures

A Rademacher-type Theorem on L2-Wasserstein Spaces over Closed Riemannian Manifolds

A Rademacher-type Theorem on $L^{2}$ -Wasserstein Spaces over Closed Riemannian Manifolds