Peter K. Friz Martin Hairer With an Introduction to Regularity Structures Second Edition
Page 1 Universitext Peter K. Friz Martin Hairer A Course on Rough Paths With an …

We develop the algebraic theory of rough path translation. Particular attention is given to the
case of branched rough paths, whose underlying algebraic structure (Connes-Kreimer …

We construct an explicit transitive free action of a Banach space of Hölder functions on the
space of branched rough paths, which yields in particular a bijection between these two …

In this paper, we show how one can view certain models in regularity structures as some
form of geometric rough paths. This is performed by identifying the deformed Butcher …

Abstract The Hairer–Kelly map has been introduced for establishing a correspondence
between geometric and non-geometric rough paths. Recently, a new renormalisation on …

We introduce a canonical way of performing the joint lift of a Brownian motion $ W $ and a
low-regularity adapted stochastic rough path $\mathbf {X} $, extending [Diehl, Oberhauser …

We study functionals, such as heat and work, along trajectories of a class of multi-
dimensional generalized Langevin systems in various limiting situations that correspond to …

The rapidly emerging theories of Rough Paths and Regularity Structures have swiftly come
to prominence as the golden standard for the modern theoretical underpinning of various …

We construct a procedure for Bogoliubov-Parasiuk-Hepp-Zimmermann (BPHZ)
renormalization of a rough path in view of the relation between rough path theory and …

Le présent travail se veut une contribution à l'extension du domaine des applications de la
théorie des chemins rugueux à travers l'étude de la convergence des processus discrets …