3 papers
math.FA2025
Almost Sure Uniform Convergence Of Random Hermite Series
Rafik Imekraz, Mickaël Latocca
We continue the analysis of random series associated to the multidimensional harmonic oscillator on with d \geq 2$$. More precisely we obtain a necessary…
math.AP2025
Almost global existence for Hamiltonian PDEs on compact manifolds
Dario Bambusi, Joackim Bernier, Benoît Grébert +1
We prove an abstract result of almost global existence of small solutions to semi-linear Hamiltonian partial differential equations satisfying very weak non resonance conditions an…
math.AP2019
Bernstein inequalities via the heat semigroup
Rafik Imekraz, El Maati Ouhabaz
We extend the classical Bernstein inequality to a general setting including Schr{ö}dinger operators and divergence form elliptic operators on Riemannian manifolds or domains. Moreo…