58 citations · 175 across the 21 of their papers we have counts for
26 papers
The Yang-Mills measure on surfaces via Morse theory
Reda Chhaibi, Nguyen Viet Dang, Yannick Guedes Bonthonneau +2
We introduce a Morse theoretical approach to the construction of the Yang--Mills measure on the space of connections of a compact Riemannian surface. This provides a direct continu…
Semiclassical analysis for Yang--Mills random connections on compact surfaces
Nguyen Viet Dang, Elias Nohra
We introduce anisotropic Banach spaces of distributional 1-forms on compact surfaces designed to capture the fine regularity properties of Morse gauge-fixed Yang--Mills random conn…
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…
Spectrally cut-off GFF, regularized measure, and reflection positivity
Ismael Bailleul, Nguyen Viet Dang, Léonard Ferdinand +2
We argue that the spectrally cut-off Gaussian free field on a compact Riemannian manifold or on cannot satisfy the spatial Markov property. Moreover, when the…
Combinatorial zeta functions counting triangles
Léo Bénard, Yann Chaubet, Nguyen Viet Dang +1
In this paper, we compute special values of certain combinatorial zeta functions counting geodesic paths in the (n-1)-skeleton of a triangulation of a n-dimensional manifold. We sh…
Length orthospectrum of convex bodies on flat tori
Nguyen Viet Dang, Matthieu Léautaud, Gabriel Rivière
In analogy with the study of Pollicott-Ruelle resonances on negatively curved manifolds, we define anisotropic Sobolev spaces that are well-adapted to the analysis of the geodesic…
Lorentzian spectral zeta functions on asymptotically Minkowski spacetimes
Nguyen Viet Dang, Michał Wrochna
In this note, we consider perturbations of Minkowski space as well as more general spacetimes on which the wave operator is essentially self-adjoint. We review a recent…
Analysis of the Anderson operator
I. Bailleul, N. V. Dang, A. Mouzard
We consider the continuous Anderson operator on a two dimensional closed Riemannian manifold . We provide a short self-contained functional analysis constructi…
Dynamical residues of Lorentzian spectral zeta functions
Nguyen Viet Dang, Michał Wrochna
We define a dynamical residue which generalizes the Guillemin-Wodzicki residue density of pseudo-differential operators. More precisely, given a Schwartz kernel, the definition ref…
Complex powers of the wave operator and the spectral action on Lorentzian scattering spaces
Nguyen Viet Dang, Michał Wrochna
We consider perturbations of Minkowski space as well as more general spacetimes on which the wave operator is known to be essentially self-adjoint. We define complex po…
Poincar{é} series and linking of Legendrian knots
Nguyen Viet Dang, Gabriel Rivière
On a negatively curved surface, we show that the Poincar{é} series counting geodesic arcs orthogonal to some pair of closed geodesic curves has a meromorphic continuation to the wh…
Dynamical torsion for contact Anosov flows
Yann Chaubet, Nguyen Viet Dang
We introduce a new object, the dynamical torsion, which extends the potentially ill-defined value at of the Ruelle zeta function of a contact Anosov flow twisted by an acyclic…
Wick squares of the Gaussian Free Field and Riemannian rigidity
Nguyen Viet Dang
In the present paper, we show that on a compact Riemannian manifold of dimension whose metric has negative curvature, the renormalized partition function $Z_…
Renormalization of determinant lines in Quantum Field Theory
Nguyen Viet Dang
On a compact manifold , we consider the affine space of non self-adjoint perturbations of some invertible elliptic operator acting on sections of some Hermitian bundle, by s…
Fried conjecture in small dimensions
Nguyen Viet Dang, Colin Guillarmou, Gabriel Rivière +1
We study the twisted Ruelle zeta function for smooth Anosov vector fields acting on flat vector bundles over smooth compact manifolds. In dimension , we prove Fried…
Properties of field functionals and characterization of local functionals
Christian Brouder, Nguyen Viet Dang, Camille Laurent-Gengoux +1
Functionals (i.e. functions of functions) are widely used in quantum field theory and solid-state physics. In this paper, functionals are given a rigorous mathematical framework an…
Spectral analysis of Morse-Smale flows I: construction of the anisotropic spaces
Nguyen Viet Dang, Gabriel Riviere
We prove the existence of a discrete correlation spectrum for Morse-Smale flows acting on smooth forms on a compact manifold. This is done by constructing spaces of currents with a…
Spectral analysis of morse-smale gradient flows
Nguyen Viet Dang, Gabriel Riviere
On a smooth, compact and oriented manifold without boundary, we give a complete description of the correlation function of a Morse-Smale gradient flow satisfying a certain nonreson…
Equidistribution of the conormal cycle of random nodal sets
Nguyen Viet Dang, Gabriel Riviere
We study the asymptotic properties of the conormal cycle of nodal sets associated to a random superposition of eigenfunctions of the Laplacian on a smooth compact Riemannian manifo…
Noncommutative version of Borcherds' approach to quantum field theory
Christian Brouder, Nguyen Viet Dang, Alessandra Frabetti
Richard Borcherds proposed an elegant geometric version of renormalized perturbative quantum field theory in curved spacetimes, where Lagrangians are sections of a Hopf algebra bun…
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…
Continuity of the fundamental operations on distributions having a specified wave front set (with a counter example by Semyon Alesker)
Christian Brouder, Nguyen Viet Dang, Frédéric Hélein
The pull-back, push-forward and multiplication of smooth functions can be extended to distributions if their wave front set satisfies some conditions. Thus, it is natural to invest…