227 citations
- Université d'OrléansFR96 papers
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14 papers · 1 filter
Vlasov-Fokker-Planck equation: stochastic stability of resonances and unstable manifold expansion
Julien Barré, David Métivier
We investigate the dynamics close to a homogeneous stationary state of Vlasov equation in one dimension, in presence of a small dissipation modeled by a Fokker-Planck operator. Whe…
Integral means spectrum of whole-plane SLE
Dmitry Beliaev, Bertrand Duplantier, Michel Zinsmeister
We complete the mathematical analysis of the fine structure of harmonic measure on SLE curves that was initiated by Beliaev and Smirnov, as described by the averaged integral means…
The Coefficient Problem and Multifractality of Whole-Plane SLE and LLE
Bertrand Duplantier, Nguyen Thi Phuong Chi, Nguyen Thi Thuy Nga +1
We revisit the Bieberbach conjecture in the framework of SLE processes and, more generally, Lévy processes. The study of their unbounded whole-plane versions leads to a discrete se…
Dynamical Bounds for Sturmian Schrödinger Operators
L. Marin
The Fibonacci Hamiltonian, that is a Schrödinger operator associated to a quasiperiodical sturmian potential with respect to the golden mean has been investigated intensively in re…
Diagonal hyperbolic systems with large and monotone data Part I: Global continuous solutions
Ahmad El Hajj, Régis Monneau
In this paper, we study diagonal hyperbolic systems in one space dimension. Based on a new gradient entropy estimate, we prove the global existence of a continuous solution, for la…
Short time existence and uniqueness in Hölder spaces for the 2D dynamics of dislocation densities
Ahmad El Hajj
In this paper, we study the model of Groma and Balogh describing the dynamics of dislocation densities. This is a two-dimensional model where the dislocation densities satisfy a sy…