55 citations · 313 across the 40 of their papers we have counts for
5 papers · 1 filter
Post-Lie algebras of derivations and regularity structures
Jean-David Jacques, Lorenzo Zambotti
Given a commutative algebra , we exhibit a canonical structure of post-Lie algebra on the space where ${\rm Der}(\mathcal{A…
A Microlocal Approach to Renormalization in Stochastic PDEs
Claudio Dappiaggi, Nicolò Drago, Paolo Rinaldi +1
We present a novel framework for the study of a large class of non-linear stochastic PDEs, which is inspired by the algebraic approach to quantum field theory. The main merit is th…
Large deviations of the current in stochastic collisional dynamics
Raphael Lefevere, Mauro Mariani, Lorenzo Zambotti
We consider a class of deterministic local collisional dynamics, showing how to approximate them by means of stochastic models and then studying the fluctuations of the current of…
Macroscopic fluctuations theory of aerogel dynamics
Raphael Lefevere, Mauro Mariani, Lorenzo Zambotti
We consider the thermodynamic potential describing the macroscopic fluctuation of the current and local energy of a general class of Hamiltonian models including aerogels. We argue…
Hot scatterers and tracers for the transfer of heat in collisional dynamics
Raphael Lefevere, Lorenzo Zambotti
We introduce stochastic models for the transport of heat in systems described by local collisional dynamics. The dynamics consists of tracer particles moving through an array of ho…