Zobrazeno 1 - 10
of 56
pro vyhledávání: '"Dang, Nguyen Viet"'
We argue that the spectrally cut-off Gaussian free field $\Phi_\Lambda$ on a compact Riemannian manifold or on $\mathbb{R}^n$ cannot satisfy the spatial Markov property. Moreover, when the manifold is reflection positive, we show that $\Phi_\Lambda$
Externí odkaz:
http://arxiv.org/abs/2312.15511
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 show that they carry a topological meaning. As such, we recover the firs
Externí odkaz:
http://arxiv.org/abs/2303.11226
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 Journ\'ees "\'Equations auxD\'eriv\'ees Partielles" (Obernai, june 2022). We study properties of geodesics that ar
Externí odkaz:
http://arxiv.org/abs/2302.04512
Publikováno v:
Cambridge Journal of Mathematics, 2023, 11 (4), pp.917-1043
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 vector field associated with any translation invariant Finsler metric
Externí odkaz:
http://arxiv.org/abs/2207.05410
Autor:
Dang, Nguyen Viet, Wrochna, Michał
In this note, we consider perturbations of Minkowski space as well as more general spacetimes on which the wave operator $\square_g$ is essentially self-adjoint. We review a recent result which gives the meromorphic continuation of the Lorentzian spe
Externí odkaz:
http://arxiv.org/abs/2202.06408
Autor:
Dang, Nguyen Viet, Wrochna, Michał
We define a dynamical residue which generalizes the Guillemin-Wodzicki residue density of pseudo-differential operators. More precisely, given a Schwartz kernel, the definition refers to Pollicott-Ruelle resonances for the dynamics of scaling towards
Externí odkaz:
http://arxiv.org/abs/2108.07529
Autor:
Dang, Nguyen Viet, Wrochna, Michał
We consider perturbations of Minkowski space as well as more general spacetimes on which the wave operator $\square_g$ is known to be essentially self-adjoint. We define complex powers $(\square_g-i\varepsilon)^{-\alpha}$ by functional calculus, and
Externí odkaz:
http://arxiv.org/abs/2012.00712
Autor:
Dang, Nguyen Viet, Rivière, Gabriel
On a negatively curved surface, we show that the Poincar{\'e} series counting geodesic arcs orthogonal to some pair of closed geodesic curves has a meromorphic continuation to the whole complex plane. When both curves are homologically trivial, we pr
Externí odkaz:
http://arxiv.org/abs/2005.13235
Autor:
Chaubet, Yann, Dang, Nguyen Viet
Publikováno v:
Analysis & PDE 17 (2024) 2619-2681
We introduce a new object, the dynamical torsion, which extends the potentially ill-defined value at $0$ of the Ruelle zeta function of a contact Anosov flow twisted by an acyclic representation of the fundamental group. We show important properties
Externí odkaz:
http://arxiv.org/abs/1911.09931
Autor:
Dang, Nguyen Viet
Publikováno v:
Prob. Math. Phys. 3 (2022) 1-34
In the present paper, we show that on a compact Riemannian manifold $(M,g)$ of dimension $d\leqslant 4$ whose metric has negative curvature, the renormalized partition function $Z_g(\lambda)$ of a massive Gaussian Free Field determines the length spe
Externí odkaz:
http://arxiv.org/abs/1902.07315