Zobrazeno 1 - 10
of 216
pro vyhledávání: '"Paycha, Sylvie"'
The Euler-Maclaurin formula which relates a discrete sum with an integral, is generalised to the setting of Riemann-Stieltjes sums and integrals on stochastic processes whose paths are a.s. rectifiable, that is continuous and bounded variation. For t
Externí odkaz:
http://arxiv.org/abs/2403.09335
Autor:
Habib, Georges, Paycha, Sylvie
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 $\mathbb Z_2$-graded Wodzicki residue of the logarithm of a class of differential opera
Externí odkaz:
http://arxiv.org/abs/2303.04013
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, including locality subalgebras, locality transformation groups and localit
Externí odkaz:
http://arxiv.org/abs/2301.02300
Publikováno v:
Complex Analysis and its Synergies 10, 4 2024
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. Evaluating the resulting holomorphic projection at zero gives rise to
Externí odkaz:
http://arxiv.org/abs/2206.13993
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 principle in quantum field theory. Locality tensor products of locality ve
Externí odkaz:
http://arxiv.org/abs/2205.14616
Publikováno v:
Vietnam J. Math. 50, 719-761 (2022)
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 geometric aspects. Specifically, a Maurer-Cartan perspective is the key to a
Externí odkaz:
http://arxiv.org/abs/2111.15539
Autor:
Garmendia, Alfonso, Paycha, Sylvie
We consider groupoids in the category of principal bundles, which we call principal bundles (PB) groupoids. Inspired by work by Th. Nikolaus and K. Waldorf, we generalise bundle gerbes over manifolds to bundle gerbes over groupoids and discuss a func
Externí odkaz:
http://arxiv.org/abs/2108.07352
We introduce the concept of TRAP (Traces and Permutations), which can roughly be viewed as a wheeled PROP (Products and Permutations) without unit. TRAPs are equipped with a horizontal concatenation and partial trace maps. Continuous morphisms on an
Externí odkaz:
http://arxiv.org/abs/2103.00855
Publikováno v:
SIGMA 17 (2021), 027, 23 pages
After some background on lattices, the locality framework introduced in earlier work by the authors is extended to cover posets and lattices. We then extend the correspondence between Euclidean structures on vector spaces and orthogonal complementati
Externí odkaz:
http://arxiv.org/abs/2007.03003