3 papers
math.PR2024
Generalized Euler-Maclaurin formula and Signatures
Carlo Bellingeri, Peter K. Friz, Sylvie Paycha
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…
math.DG2010
The logarithmic residue density of a generalised Laplacian
Jouko Mickelsson, Sylvie Paycha
We show that the residue density of the logarithm of a generalised Laplacian on a closed manifold defines an invariant polynomial valued differential form. We express it in terms o…
math.DG2005
Conformal Anomalies via Canonical Traces
S. Paycha, S. Rosenberg
Using Laurent expansions of the Kontsevich-Vishik canonical trace of holomorphic families of classical pseudodifferential operators, we define functionals on the space of Riemannia…