5 papers
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…
The Yang--Mills measure on compact surfaces as a universal scaling limit of lattice gauge models
Nguyen Viet Dang, Elias Nohra
In this article, we study the 2 dimensional Yang--Mills measure on compact surfaces from a unified continuum and discrete perspective. We construct the Yang--Mills measure as a ran…
Asymptotics of zeta determinants of Laplacians on large degree abelian covers
Nguyen Viet Dang, Jiasheng Lin, Frédéric Naud
Let be some smooth, closed, compact Riemannian manifold and be an increasing sequence of large degree cyclic covers of that converges when $N\rightar…
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 construc…
Dirac operators and local invariants on perturbations of Minkowski space
Nguyen Viet Dang, András Vasy, MichaŠWrochna
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…