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6 papers · 1 filter
Sharp interpolation inequalities on the sphere : new methods and consequences
Jean Dolbeault, Maria J. Esteban, Michal Kowalczyk +1
These notes are devoted to various considerations on a family of sharp interpolation inequalities on the sphere, which in dimension two and higher interpolate between Poincaré, log…
Qualitative properties and existence of sign changing solutions with compact support for an equation with a p-Laplace operator
Jean Dolbeault, Marta Garcia-Huidobro, Raul Manásevich
We consider radial solutions of an elliptic equation involving the p-Laplace operator and prove by a shooting method the existence of compactly supported solutions with any prescri…
Eigenvalues of finite rank Bratteli-Vershik dynamical systems
Xavier Bressaud, Fabien Durand, Alejandro Maass
In this article we study conditions to be a continuous or a measurable eigenvalue of finite rank minimal Cantor systems, that is, systems given by an ordered Bratteli diagram with…
Local existence of analytical solutions to an incompressible Lagrangian stochastic model in a periodic domain
Mireille Bossy, Joaquin Fontbona, Pierre-Emmanuel Jabin +1
We consider an incompressible kinetic Fokker Planck equation in the flat torus, which is a simplified version of the Lagrangian stochastic models for turbulent flows introduced by…
Quantitative uniqueness for Schrodinger operator with regular potentials
Laurent Bakri, Jean-Baptiste Casteras
We give a sharp upper bound on the vanishing order of solutions to Schrodinger equation with C^1 electric and magnetic potentials on a compact smooth manifold. Our method is based…
Complexity of Nilsystems and systems lacking nilfactors
Bernard Host, Bryna Kra, Alejandro Maass
Nilsystems are a natural generalization of rotations and arise in various contexts, including in the study of multiple ergodic averages in ergodic theory, in the structural analysi…