58 citations · 62 across the 4 of their papers we have counts for
7 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…
Dirac operators and local invariants on perturbations of Minkowski space
Nguyen Viet Dang, András Vasy, Michał Wrochna
For small perturbations of Minkowski space, we show that the square of the Lorentzian Dirac operator has real spectrum apart from possible poles in a horizontal strip. Fu…
Length orthospectrum and the correlation function on flat tori
Nguyen Viet Dang, Matthieu Léautaud, Gabriel Rivière
This note presents some of the results obtained in arXiv:2207.05410 and it has beenthe object of a talk of the second author during the Journées "Équations auxDérivées Partielles"…
The extension of distributions on manifolds, a microlocal approach
Nguyen Viet Dang
Let be a smooth manifold, a closed embedded submanifold of and an open subset of . In this paper, we find conditions using a geometric notion of scaling…
Extension of distributions, scalings and renormalization of QFT on Riemannian manifolds
Nguyen Viet Dang
Let be a smooth manifold and a closed subset of . In this paper, we introduce a natural condition of \emph{moderate growth} along for a distribution in…
The Euler characteristic of a surface from its Fourier analysis in one direction
Nguyen Viet Dang
In this paper, we prove that we can recover the genus of a closed compact surface in from the restriction to a generic line of the Fourier transform of the canon…