585 citations
- Centre National de la Recherche ScientifiqueFR60 papers
- Laboratoire de physique de la matière condenséeFR16 papers
- University of California, Los AngelesUS9 papers
- Planetary Science InstituteUS7 papers
- Observatoire de la Côte d’AzurFR6 papers
- Laboratoire Jean-Alexandre DieudonnéFR5 papers
- Sorbonne UniversitéFR5 papers
- Université Paris CitéFR5 papers
- Laboratoire de Mathématiques Blaise PascalFR4 papers
- Laboratoire d’études spatiales et d’instrumentation en astrophysiqueFR4 papers
- Leiden UniversityNL4 papers
- Centre for Quantum TechnologiesSG3 papers
4 papers · 1 filter
On the Hausdorff Dimension of the Mather Quotient
Albert Fathi, Alessio Figalli, Ludovic Rifford
Under appropriate assumptions on the dimension of the ambient manifold and the regularity of the Hamiltonian, we show that the Mather quotient is small in term of Hausdorff dimensi…
Invariant measures of Hamiltonian systems with prescribed asymptotic Maslov index
Alberto Abbondandolo, Alessio Figalli
We study the properties of the asymptotic Maslov index of invariant measures for time-periodic Hamiltonian systems on the cotangent bundle of a compact manifold M. We show that if…
Giga-Periodic Orbits for Weakly Coupled Tent and Logistic Discretized Maps
R. Lozi
We introduce new models of very weakly coupled logistic and tent maps for which orbits of very long period are found. The length of these periods is far greater than one billion. T…
A discrete time neural network model with spiking neurons. Rigorous results on the spontaneous dynamics
B. Cessac
We derive rigorous results describing the asymptotic dynamics of a discrete time model of spiking neurons introduced in \cite{BMS}. Using symbolic dynamic techniques we show how th…