224 citations
- Centre National de la Recherche ScientifiqueFR376 papers
- Université Grenoble AlpesFR309 papers
- Université Joseph FourierFR201 papers
- Laboratoire de Mathématiques d'OrsayFR42 papers
- Pôle de recherche et d'enseignement supérieur Université de GrenobleFR37 papers
- Institut de Mathématiques de Jussieu-Paris Rive GaucheFR31 papers
- Laboratoire de Mathématiques Jean LerayFR25 papers
- Université Paris-SudFR24 papers
- Institut Camille JordanFR19 papers
- Laboratoire de Physique et Modélisation des Milieux CondensésFR19 papers
- Sorbonne UniversitéFR19 papers
- Université Toulouse III - Paul SabatierFR17 papers
5 papers · 2 filters
Spectral Properties of Quantum Walks on Rooted Binary Trees
Alain Joye, Laurent Marin
We define coined Quantum Walks on the infinite rooted binary tree given by unitary operators on an associated infinite dimensional Hilbert space, depending on a unitary coin…
Polynomial propagation of moments and global existence for a Vlasov-Poisson system with a point charge
Laurent Desvillettes, Evelyne Miot, Chiara Saffirio
In this paper, we extend to the case of initial data constituted of a Dirac mass plus a bounded density (with finite moments) the theory of Lions and Perthame [6] for the Vlasov-Po…
Repeated interactions in open quantum systems
Laurent Bruneau, Alain Joye, Marco Merkli
Analyzing the dynamics of open quantum systems has a long history in mathematics and physics. Depending on the system at hand, basic physical phenomena that one would like to expla…
Absence of absolutely continuous spectrum for random scattering zippers
Hakim Boumaza, Laurent Marin
A scattering zipper is a system obtained by concatenation of scattering events with equal even number of incoming and out going channels. The associated scattering zipper operator…
Asymptotic spectral gap and Weyl law for Ruelle resonances of open partially expanding maps
Jean-François Arnoldi, Frédéric Faure, Tobias Weich
We consider a simple model of an open partially expanding map. Its trapped set K in phase space is a fractal set. We first show that there is a well defined discrete spectrum of Ru…