24 citations · 74 across the 23 of their papers we have counts for
5 papers · 1 filter
Polychromatic Partitions, Kingman Theory, and Ewens Sampling Formula
Lorenzo Dello Schiavo, Filippo Quattrocchi
A polychromatic partition is a partition of a set of colored (marked) elements in which each block is recorded only by the number of elements of each color in that block. We introd…
A Characterization of Maps of Bounded Compression
Lorenzo Dello Schiavo
A measurable map between measure spaces is shown to have bounded compression if and only if its image via the measure-algebra functor is Lipschitz-continuous w.r.t. the measure-alg…
Local Conditions for Global Convergence of Gradient Flows and Proximal Point Sequences in Metric Spaces
Lorenzo Dello Schiavo, Jan Maas, Francesco Pedrotti
This paper deals with local criteria for the convergence to a global minimiser for gradient flow trajectories and their discretisations. To obtain quantitative estimates on the spe…
Wasserstein geometry and Ricci curvature bounds for Poisson spaces
Lorenzo Dello Schiavo, Ronan Herry, Kohei Suzuki
Let be the configuration space over a complete and separable metric base space, endowed with the Poisson measure . We study the geometry of from the…
Polyharmonic Fields and Liouville Quantum Gravity Measures on Tori of Arbitrary Dimension: from Discrete to Continuous
Lorenzo Dello Schiavo, Ronan Herry, Eva Kopfer +1
For an arbitrary dimension , we study: (a) the Polyharmonic Gaussian Field on the discrete torus , that is th…