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 exhibit an explicit natural isomorphism between spaces of branched and geometric rough paths. Thi...
We provide a theory of manifold-valued rough paths of bounded 3 > p-variation, which we do not assum...
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...
Rough path theory is focused on capturing and making precise the interactions between highly oscilla...
We introduce the class of “smooth rough paths” and study their main properties. Working in a smooth ...
Abstract. In this article we consider rough differential equations (RDEs) driven by non-geometric ro...
In this article we consider rough differential equations (RDEs) driven by non-geometric rough paths,...
In both physical and social sciences, we usually use controlled differential equation to model vario...
We provide a theory of manifold-valued rough paths of bounded 3 >p-variation, which we do not assume...
AbstractWe formulate indefinite integration with respect to an irregular function as an algebraic pr...
We introduce a notion of rough paths on embedded submanifolds and demonstrate that this class of rou...
We extend the work of T. Lyons [T.J. Lyons, Differential equations driven by rough signals, Rev. Mat...
Solutions to linear controlled differential equations can be expressed in terms of global iterated p...
We exhibit an explicit natural isomorphism between spaces of branched and geometric rough paths. Thi...
We provide a theory of manifold-valued rough paths of bounded 3 > p-variation, which we do not assum...
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...
Rough path theory is focused on capturing and making precise the interactions between highly oscilla...
We introduce the class of “smooth rough paths” and study their main properties. Working in a smooth ...
Abstract. In this article we consider rough differential equations (RDEs) driven by non-geometric ro...
In this article we consider rough differential equations (RDEs) driven by non-geometric rough paths,...
In both physical and social sciences, we usually use controlled differential equation to model vario...
We provide a theory of manifold-valued rough paths of bounded 3 >p-variation, which we do not assume...
AbstractWe formulate indefinite integration with respect to an irregular function as an algebraic pr...
We introduce a notion of rough paths on embedded submanifolds and demonstrate that this class of rou...
We extend the work of T. Lyons [T.J. Lyons, Differential equations driven by rough signals, Rev. Mat...
Solutions to linear controlled differential equations can be expressed in terms of global iterated p...
We exhibit an explicit natural isomorphism between spaces of branched and geometric rough paths. Thi...
We provide a theory of manifold-valued rough paths of bounded 3 > p-variation, which we do not assum...
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