Zobrazeno 1 - 10
of 39
pro vyhledávání: '"Rigoni, Chiara"'
We study the convergence of an $N$-particle Markovian controlled system to the solution of a family of stochastic McKean-Vlasov control problems, either with a finite horizon or Schr\"odinger type cost functional. Specifically, under suitable assumpt
Externí odkaz:
http://arxiv.org/abs/2405.12960
We establish a nonlinear analogue of a splitting map into a Euclidean space, as a harmonic map into a flat torus. We prove that the existence of such a map implies Gromov-Hausdorff closeness to a flat torus in any dimension. Furthermore, Gromov-Hausd
Externí odkaz:
http://arxiv.org/abs/2311.01342
Publikováno v:
In Nonlinear Analysis December 2024 249
Autor:
Magnabosco, Mattia, Rigoni, Chiara
The aim of this paper is to show the existence of a canonical distance $\mathsf d'$ defined on a locally Minkowski metric measure space $(\mathsf X,\mathsf d,\mathfrak m)$ such that: i) $\mathsf d'$ is equivalent to $\mathsf d$, ii) $(\mathsf X, \mat
Externí odkaz:
http://arxiv.org/abs/2203.09643
Autor:
Braun, Mathias, Rigoni, Chiara
Given any $d$-dimensional Lipschitz Riemannian manifold $(M,g)$ with heat kernel $\mathsf{p}$, we establish uniform upper bounds on $\mathsf{p}$ which can always be decoupled in space and time. More precisely, we prove the existence of a constant $C>
Externí odkaz:
http://arxiv.org/abs/2111.12607
Autor:
Braun, Mathias, Rigoni, Chiara
Publikováno v:
In Stochastic Processes and their Applications April 2024 170
Autor:
Magnabosco, Mattia, Rigoni, Chiara
In this paper we investigate two important properties of metric measure spaces satisfying the reduced curvature-dimension condition for negative values of the dimension parameter: the existence of a transport map between two suitable marginals and th
Externí odkaz:
http://arxiv.org/abs/2105.12017
We study the problem of whether the curvature-dimension condition with negative values of the generalized dimension parameter is stable under a suitable notion of convergence. To this purpose, first of all we introduce an appropriate setting to intro
Externí odkaz:
http://arxiv.org/abs/2104.03588
Autor:
Gigli, Nicola, Rigoni, Chiara
We study partial derivatives on the product of two metric measure structures, in particular in connection with calculus via modules as proposed by the first named author. Our main results are 1) The extension to this non-smooth framework of Schwarz's
Externí odkaz:
http://arxiv.org/abs/2012.03602
It is well-known that the flows generated by two smooth vector fields commute, if the Lie bracket of these vector fields vanishes. This assertion is known to extend to Lipschitz continuous vector fields, up to interpreting the vanishing of their Lie
Externí odkaz:
http://arxiv.org/abs/2011.07351