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16 papers · 1 filter
Algebra properties for Sobolev spaces- Applications to semilinear PDE's on manifolds
Nadine Badr, Frederic Bernicot, Emmanuel Russ
In this work, we aim to prove algebra properties for generalized Sobolev spaces on a Riemannian manifold, where is of Bessel-type $W^{s,p}:=(1+L)^…
Projectively Equivariant Quantization and Symbol calculus in dimension 1|2
Najla Mellouli
The spaces of higher-order differential operators (in Dimension 1|2), which are modules over the stringy Lie superalgebra K(2), are isomorphic to the corresponding spaces of symbol…
Modelling Erythroblastic Islands: Using a Hybrid Model to Assess the Function of Central Macrophage
Stephan Fischer, Polina Kurbatova, Nikolai Bessonov +3
The production and regulation of red blood cells, erythropoiesis, occurs in the bone marrow where erythroid cells proliferate and differentiate within particular structures, called…
Explicit constructions of operator scaling Gaussian fields
Marianne Clausel--Lesourd, Béatrice Vedel
We propose an explicit way to generate a large class of Operator scaling Gaussian random fields (OSGRF). Such fields are anisotropic generalizations of selfsimilar fields. More spe…
A wavelet characterization for the upper global Holder index
Marianne Clausel--Lesourd, Nicolay Samuel
In this paper, we give a wavelet characterization of the upper global Holder index, which can be seen as the irregular counterpart of the usual global Holder index, for which a wav…
A remark on Cantor derivative
Cédric Milliet
It is shown that, modulo an equivalence relation induced by finite correspondences preserving Cantor rank, the class of topological spaces is an integral semi-ring on which the Can…