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- Centre National de la Recherche ScientifiqueFR398 papers
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46 papers · 1 filter
Asymptotics of Eigenvalues and Eigenfunctions for the Laplace Operator in a Domain with Oscillating Boundary. Multiple Eigenvalue Case
Youcef Amirat, Gregory A. Chechkin, Rustem R. Gadyl'shin
We study the asymptotic behavior of the solutions of a spectral problem for the Laplacian in a domain with rapidly oscillating boundary. We consider the case where the eigenvalue o…
An interpolation theorem in toric varieties
Martin Weimann
In the spirit of a theorem of Wood, we give necessary and sufficient conditions for a family of germs of analytic hypersurfaces in a smooth projective toric variety X to be interpo…
Creation of fermions by rotating charged black-holes
Dietrich Häfner
This work is devoted to the mathematical study of the Hawking effect for fermions in the setting of the collapse of a rotating charged star. We show that an observer who is located…
Hydrodynamics and hydrostatics for a class of asymmetric particle systems with open boundaries
Christophe Bahadoran
We consider attractive particle systems in with product invariant measures. We prove that when particles are restricted to a subset of , with birth and death dynamics…
Subelliptic estimates for some systems of complex vector fields : quasihomogeneous case
Makhlouf Derridj, Bernard Helffer
For about twenty five years it was a kind of folk theorem that complex vector-fields defined on (with open set in ) by $$ L_j = \frac{\partia…
A mathematical model for the Fermi weak interactions
Laurent Amour, Benoit Grebert, Jean-Claude Guillot
We consider a mathematical model of the Fermi theory of weak interactions as patterned according to the well-known current-current coupling of quantum electrodynamics. We focuss on…