Zobrazeno 1 - 10
of 238
pro vyhledávání: '"Romito, Marco"'
Autor:
Rehmeier, Marco, Romito, Marco
In this note we contribute two results to the theory of the $2D$ Euler equations in vorticity form on the full plane. First, we establish a generalized Lagrangian representation of weak (in general measure-valued) solutions, which includes and extend
Externí odkaz:
http://arxiv.org/abs/2407.16609
Autor:
Romito, Marco, Triggiano, Francesco
The existence of non-unique solutions of finite kinetic energy for the three dimensional Navier-Stokes equations is proved in the slightly supercritical hyper-dissipative setting introduced by Tao. The result is based on the convex integration techni
Externí odkaz:
http://arxiv.org/abs/2406.05853
Autor:
Romito, Marco, Triggiano, Francesco
The signature is a fundamental object that describes paths (that is, continuous functions from an interval to a Euclidean space). Likewise, the expected signature provides a statistical description of the law of stochastic processes. We propose a fea
Externí odkaz:
http://arxiv.org/abs/2310.10836
We consider a system of N point vortices in a bounded domain with null total circulation, whose statistics are given by the Canonical Gibbs Ensemble at inverse temperature $\beta\geq 0$. We prove that the space-time fluctuation field around the (cons
Externí odkaz:
http://arxiv.org/abs/2308.00163
The continuation of point vortex dynamics after a vortex collapse is investigated by means of a regularization procedure consisting in introducing a small stochastic diffusive term, that corresponds to a vanishing viscosity. In contrast with determin
Externí odkaz:
http://arxiv.org/abs/2307.05133
Autor:
Romito, Marco, Tolomeo, Leonardo
We introduce a new notion of irregularity of paths, in terms of control of growth of the size of small balls by means of the occupation measure of the path. This notion ensures Besov regularity of the occupation measure and thus extends the analysis
Externí odkaz:
http://arxiv.org/abs/2207.02716
Publikováno v:
Meridiana, 2023 Jan 01(107), 9-34.
Externí odkaz:
https://www.jstor.org/stable/27269696
Having access to an exploring restart distribution (the so-called wide coverage assumption) is critical with policy gradient methods. This is due to the fact that, while the objective function is insensitive to updates in unlikely states, the agent m
Externí odkaz:
http://arxiv.org/abs/2106.15503
We consider the stochastically forced Burgers equation with an emphasis on spatially rough driving noise. We show that the law of the process at a fixed time $t$, conditioned on no explosions, is absolutely continuous with respect to the stochastic h
Externí odkaz:
http://arxiv.org/abs/2104.07492
Publikováno v:
In Physica D: Nonlinear Phenomena January 2024 457