17 citations · 29 across the 3 of their papers we have counts for
5 papers
Renormalization of Feynman amplitudes on manifolds by spectral zeta regularization and blow-ups
Nguyen Viet Dang, Bin Zhang
Our goal in this paper is to present a generalization of the spectral zeta regularization for general Feynman amplitudes. Our method uses complex powers of elliptic operators but i…
Pollicott-Ruelle spectrum and Witten Laplacians
Nguyen Viet Dang, Gabriel Riviere
We study the asymptotic behaviour of eigenvalues and eigenmodes of the Witten Laplacian on a smooth compact Riemannian manifold without boundary. We show that they converge to the…
Spectral analysis of morse-smale flows ii: resonances and resonant states
Nguyen Viet Dang, Gabriel Riviere
The goal of the present work is to compute explicitely the correlation spectrum of a Morse-Smale flow in terms of the Lyapunov exponents of the Morse--Smale flow, the topology of t…
Topology of Pollicott-Ruelle resonant states
Nguyen Viet Dang, Gabriel Riviere
We prove that the twisted De Rham cohomology of a flat vector bundleover some smooth manifold is isomorphic to the cohomology of invariant Pollicott--Ruelleresonant states associat…
Complex powers of analytic functions and meromorphic renormalization in QFT
Nguyen Viet Dang
In this article, we study functional analytic properties of the meromorphic families of distributions using Hiro…