50 citations · 179 across the 40 of their papers we have counts for
40 papers
Metric Geometry of the Signature Group for -Variation Rough Paths
Felix Medwed, Sylvie Paycha, Alexander Schmeding
The signatures of -rough paths form a subgroup of sufficiently high-level truncated tensor algebras, whose inverse limit is a subgroup of the full tensor algebra. For …
A Pseudodifferential Analytic Perspective on Getzler's Rescaling
Georges Habib, Sylvie Paycha
Inspired by Gilkey's invariance theory, Getzler's rescaling method and Scott's approach to the index via Wodzicki residues, we give a localisation formula for the -gra…
Locality Galois groups of meromorphic germs in several variables
Li Guo, Sylvie Paycha, Bin Zhang
Meromorphic germs in several variables with linear poles naturally arise in mathematics in various disguises. We investigate their rich structures under the prism of locality, incl…
A topological splitting of the space of meromorphic germs in several variables and continuous evaluators
Rafael Dahmen, Sylvie Paycha, Alexander Schmeding
We prove a topological decomposition of the space of meromorphic germs at zero in several variables with prescribed linear poles as a sum of spaces of holomorphic and polar germs.…
Tensor products and the Milnor-Moore theorem in the locality setup
Pierre J. Clavier, Loic Foissy, Diego A. López +1
The present exploratory paper deals with tensor products in the locality framework {developed in previous work}, a natural setting for an algebraic formulation of the locality prin…
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…