17 citations · 31 across the 6 of their papers we have counts for
4 papers · 1 filter
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…