2 citations · 2 across the 3 of their papers we have counts for
5 papers
Conjugation, loop and closure invariants of the iterated-integrals signature
Joscha Diehl, Rosa Preiß, Jeremy Reizenstein
Given a feature set for the shape of a closed loop, it is natural to ask which features in that set do not change when the starting point of the path is moved. For example, in two…
A structure theorem for streamed information
Cristopher Salvi, Joscha Diehl, Terry Lyons +2
We identify the free half shuffle algebra of Schützenberger (1958) with an algebra of real-valued functionals on paths, where the half shuffle emulates integration of a functional…
From Hopf algebras to rough paths and regularity structures
Rosa Preiß
Lyon's rough paths give an algebraic and analytic framework for Stieltjes integrals in a regime of low regularity where the usual Riemann-Stieltjes integral does not converge. Befo…
Smooth rough paths, their geometry and algebraic renormalization
Carlo Bellingeri, Peter K. Friz, Sylvie Paycha +1
We introduce the class of "smooth rough paths" and study their main properties. Working in a smooth setting allows us to discard sewing arguments and focus on algebraic and geometr…
Signatures of paths transformed by polynomial maps
Laura Colmenarejo, Rosa Preiß
We characterize the signature of piecewise continuously differentiable paths transformed by a polynomial map in terms of the signature of the original path. For this aim, we define…