24 citations · 74 across the 23 of their papers we have counts for
12 papers · 1 filter
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 with vector-valued sp…
Massive Particle Systems, Wasserstein Brownian Motions, and the Dean-Kawasaki Equation
Lorenzo Dello Schiavo
We develop a unifying theory for four different objects: (1) infinite systems of interacting massive particles; (2) solutions to the Dean-Kawasaki equation with singular drift and…
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…
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…
Scaling Limits of Random Walks, Harmonic Profiles, and Stationary Non-Equilibrium States in Lipschitz Domains
Lorenzo Dello Schiavo, Lorenzo Portinale, Federico Sau
We consider the open symmetric exclusion (SEP) and inclusion (SIP) processes on a bounded Lipschitz domain , with both fast and slow boundary. For the random walks on dual t…
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 over a singular base space and with a general invariant measure on . We present an analyti…
Conformally invariant random fields, quantum Liouville measures, and random Paneitz operators on Riemannian manifolds of even dimension
Lorenzo Dello Schiavo, Ronan Herry, Eva Kopfer +1
For large classes of even-dimensional Riemannian manifolds , we construct and analyze conformally invariant random fields. These centered Gaussian fields , called co-…
The Dirichlet-Ferguson Diffusion on the Space of Probability Measures over a Closed Riemannian Manifold
L. Dello Schiavo
We construct a recurrent diffusion process with values in the space of probability measures over an arbitrary closed Riemannian manifold of dimension . The process is assoc…
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…
A Mecke-type characterization of the Dirichlet-Ferguson measure
Lorenzo Dello Schiavo, Eugene W. Lytvynov
We prove a characterization of the Dirichlet-Ferguson measure over an arbitrary finite diffuse measure space. We provide an interpretation of this characterization in analogy with…
Moments and Cumulants in Infinite Dimensions with Applications to Poisson, Gamma and Dirichlet-Ferguson Random Measures
L. Dello Schiavo
We show that the chaos representation of some Compound Poisson Type processes displays an underlying intrinsic combinatorial structure, partly independent of the chosen process. Fr…