55 citations · 313 across the 40 of their papers we have counts for
43 papers
From skew to reflected SPDEs
Cyril Labbé, Thomas Le Guerch, Lorenzo Zambotti
In this article, we prove that the solution of the skew stochastic heat equation converges to the solution of the stochastic heat equation with reflection in the limit of infinite…
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 $…
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…
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…
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…
Shifted Substitution in Non-Commutative Multivariate Power Series with a View Toward Free Probability
Kurusch Ebrahimi-Fard, Frédéric Patras, Nikolas Tapia +1
We study a particular group law on formal power series in non-commuting variables induced by their interpretation as linear forms on a suitable graded connected word Hopf algebra.…