Discrete periodic geodesics in a surface.
Discrete version of Dungey’s proof for the gradient heat kernel estimate on coverings
We obtain another proof of a Gaussian upper estimate for a gradient of the heat kernel on cofinite covering graphs whose covering transformation group has a polynomial volume growth. It is proved by using the temporal regularity of the discrete heat kernel obtained by Blunck [2] and Christ [3] along with the arguments of Dungey [7] on covering manifolds.
Discreteness Conditions for the Laplacian on Complete, Non-Compact Riemannian Manifolds.
Discreteness of the spectrum for some differential operators with unbounded coefficients in
We give sufficient conditions for the discreteness of the spectrum of differential operators of the form in where and for Schrödinger operators in . Our conditions are also necessary in the case of polynomial coefficients.
Discrétisation de zeta-déterminants d’opérateurs de Schrödinger sur le tore
Nous donnons ici deux résultats sur le déterminant -régularisé d’un opérateur de Schrödinger sur une variété compacte . Nous construisons, pour , une suite où est un graphe fini qui se plonge dans via de telle manière que soit une triangulation de et où est un laplacien discret sur tel que pour tout potentiel sur , la suite de réels converge après renormalisation vers . Enfin, nous donnons sur toute variété riemannienne compacte de dimension inférieure ou égale à ...
Dispersive estimates for a linear wave equation with electromagnetic potential.
Distinguished geodesics and jacobi fields on first order jet spaces
In the framework of jet spaces endowed with a non-linear connection, the special curves of these spaces (h-paths, v-paths, stationary curves and geodesics) which extend the corresponding notions from Riemannian geometry are characterized. The main geometric objects and the paths are described and, in the case when the vertical metric is independent of fiber coordinates, the first two variations of energy and the extended Jacobi field equations are derived.
Distribution de points sur une sphère
Distribution of resonances for convex co-compact hyperbolic surfaces
Distributions and heat equation in
Distributions I. Lagrangiennes
Distributions Invariant under a Group of Diffeomorphisms.
Distributions invariant under compact Lie groups
Distributions invariantes
Distributions involutives singulières
On étudie les distributions involutives, i.e. les modules de champs de vecteurs stables par le crochet de Lie, au voisinage d’un point singulier. Après s’être ramené au cas purement singulier, c’est-à-dire où tous les éléments de s’annulent en 0, des hypothèses génériques portant sur la partie linéaire de nous permettent d’obtenir la linéarisation.
Distributions sphériques et équations différentielles singulières
Divergence operators and odd Poisson brackets
We define the divergence operators on a graded algebra, and we show that, given an odd Poisson bracket on the algebra, the operator that maps an element to the divergence of the hamiltonian derivation that it defines is a generator of the bracket. This is the “odd laplacian”, , of Batalin-Vilkovisky quantization. We then study the generators of odd Poisson brackets on supermanifolds, where divergences of graded vector fields can be defined either in terms of berezinian volumes or of graded connections. Examples...
Division property of the momentum map.
Domaines plans isospectraux à la Gordon-Webb-Wolpert : une preuve terre à terre
Donaldson invariants of certain symplectic manifolds.