17 citations · 31 across the 6 of their papers we have counts for
8 papers
Poincar{é} series for analytic convex bodies
Nguyen Viet Dang, Yannick Guedes Bonthonneau, Matthieu Léautaud +1
We study Poincar{é} series associated to strictly convex bodies in the Euclidean space. These series are Laplace transforms of the distribution of lengths (measured with the Finsle…
Global harmonic analysis for on closed Riemannian manifolds
I. Bailleul, N. V. Dang, L. Ferdinand +1
Following Parisi \& Wu's paradigm of stochastic quantization, we constructed in \cite{BDFT} a measure on an arbitrary closed, compact Riemannian manifold of dimension as…
measures on compact Riemannian -manifolds
I. Bailleul, N. V. Dang, L. Ferdinand +1
We construct the measure on an arbitrary 3-dimensional compact Riemannian manifold without boundary as an invariant probability measure of a singular stochastic partial dif…
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…