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Representation, Segmentation and Matching of 3D Visual Shapes using Graph Lap...
3D shape analysis is an extremely active research topic in both computer graphics and computer vision. In computer vision, 3D shape acquisition and modeling are... -
Contributions to the hypergeometric function theory of Heckman and Opdam: sha...
Under the assumption of positive multiplicity, we obtain basic estimates of the hypergeometric functions F_\la and G_\la of Heckman and Opdam, and sharp estimates of... -
Borel summation of the small time expansion of the heat kernel. The scalar po...
We study the Borel summability of the small time expansion of the heat kernel for the Schrödinger operator in several dimensions. On the torus, we prove a Poisson... -
Borel summation of the small time expansion of the heat kernel with a vector ...
We study the Borel summability of the small time expansion of the heat kernel associated to a first order perturbation of a Laplacian. An explicit formula for this... -
A deformation formula for the heat kernel
Let us consider a time-dependent differential operator quadratic with respect to the phase variables. Let us consider a multiplication operator defined with the help... -
Some remarks on the complex heat kernel in the scalar potential case
In previous works, we used a so-called deformation formula in order to study, in particular, the Borel summability of the heat kernel of some operators. A goal of this... -
Stable semigroups on homogeneous trees and hyperbolic spaces
We prove the kernel estimates related to subordinated semigroups on homogeneous trees. We study the long time propagation problem. We exploit this to show exit time... -
Indexed heat curves for 3D-model retrieval
International audience -
Borel summation of the semi-classical expansion of the partition function ass...
We prove that the partition function associated to a perturbation of the semi-classical harmonic oscillator is the Borel sum of its semi-classical expansion. -
Representation & Registration of 3D Visual Shapes using Graph Laplacian and H...
3D shape analysis is an extremely active research topic in both computer graphics and computer vision. In computer vision, 3D shape acquisition and modeling are... -
The Hardy space H1 in the rational Dunkl setting
International audience -
Partial 3D-shape indexing and retrieval
A growing number of 3D graphic applications have an impact on today’s society. These applications are being used in several domains ranging from digital entertainment,... -
On the heat kernel and the Dirichlet form of the Liouville Brownian motion
International audience -
Liouville Brownian motion at criticality
International audience -
Large time behavior for a simplified N-dimensional model of fluid-solid inter...
International audience
