AbstractThe stack of iterated integrals of a path is embedded in a larger algebraic structure where iterated integrals are indexed by decorated rooted trees and where an extended Chen's multiplicative property involves the Dürr–Connes–Kreimer coproduct on rooted trees. This turns out to be the natural setting for a non-geometric theory of rough paths
Solutions to linear controlled differential equations can be expressed in terms of global iterated p...
We introduce the class of “smooth rough paths” and study their main properties. Working in a smooth ...
We introduce a notion of rough paths on embedded submanifolds and demonstrate that this class of rou...
The stack of iterated integrals of a path is embedded in a larger algebraic structure where iterated...
AbstractThe stack of iterated integrals of a path is embedded in a larger algebraic structure where ...
This is a review paper on recent work about the connections between rough path theory, the Connes-Kr...
Abstract. In this article we consider rough differential equations (RDEs) driven by non-geometric ro...
International audienceThis article provides another point of view on the theory of rough paths, whic...
This article aims to be an introduction to the theory of rough paths, in which integrals of differen...
AbstractWe formulate indefinite integration with respect to an irregular function as an algebraic pr...
In this article we consider rough differential equations (RDEs) driven by non-geometric rough paths,...
We provide a theory of manifold-valued rough paths of bounded 3 > p-variation, which we do not assum...
AbstractWe extend the work of T. Lyons [T.J. Lyons, Differential equations driven by rough signals, ...
We construct an explicit transitive free action of a Banach space of Hölder functions on the space o...
We develop the structure theory for transformations of weakly geometric rough paths of bounded $1 < ...
Solutions to linear controlled differential equations can be expressed in terms of global iterated p...
We introduce the class of “smooth rough paths” and study their main properties. Working in a smooth ...
We introduce a notion of rough paths on embedded submanifolds and demonstrate that this class of rou...
The stack of iterated integrals of a path is embedded in a larger algebraic structure where iterated...
AbstractThe stack of iterated integrals of a path is embedded in a larger algebraic structure where ...
This is a review paper on recent work about the connections between rough path theory, the Connes-Kr...
Abstract. In this article we consider rough differential equations (RDEs) driven by non-geometric ro...
International audienceThis article provides another point of view on the theory of rough paths, whic...
This article aims to be an introduction to the theory of rough paths, in which integrals of differen...
AbstractWe formulate indefinite integration with respect to an irregular function as an algebraic pr...
In this article we consider rough differential equations (RDEs) driven by non-geometric rough paths,...
We provide a theory of manifold-valued rough paths of bounded 3 > p-variation, which we do not assum...
AbstractWe extend the work of T. Lyons [T.J. Lyons, Differential equations driven by rough signals, ...
We construct an explicit transitive free action of a Banach space of Hölder functions on the space o...
We develop the structure theory for transformations of weakly geometric rough paths of bounded $1 < ...
Solutions to linear controlled differential equations can be expressed in terms of global iterated p...
We introduce the class of “smooth rough paths” and study their main properties. Working in a smooth ...
We introduce a notion of rough paths on embedded submanifolds and demonstrate that this class of rou...
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