4 papers
Remainders of generalised Taylor expansions and a priori bounds for rough differential equations
Lorenzo Agabiti, Alberto Bonicelli, Lorenzo Zambotti
In this article we establish global a priori estimates on the solution of a generic rough differential equation driven by an -Hölder path covering the full range of regularity…
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…
Convergence of dynamical stationary fluctuations
Cyril Labbé, Benoît Laslier, Fabio Toninelli +1
We present a general black box theorem that ensures convergence of a sequence of stationary Markov processes, provided a few assumptions are satisfied. This theorem relies on a con…
Hairer's multilevel Schauder estimates without Regularity Structures
Lucas Broux, Francesco Caravenna, Lorenzo Zambotti
We investigate the regularising properties of singular kernels at the level of germs, i.e. families of distributions indexed by points in . First we construct a suita…