16 citations · 18 across the 4 of their papers we have counts for
4 papers
Invariant cone and synchronization state stability of the mean field models
W Oukil, Ph Thieullen, A Kessi
In this article we prove the stability of mean field systems as the Winfree model in the synchronized state. The model is governed by the coupling strength parameter and the na…
Transport and large deviations for Schrodinger operators and Mather measures
Artur O. Lopes, P. Thieullen
In this mainly survey paper we consider the Lagrangian , and a closed form on the torus . For the associated Hamiltonian…
Synchronization hypothesis in the Winfree model
W Oukil, A Kessi, Ph Thieullen
We consider oscillators coupled by a mean field as in the Winfree model. The model is governed by two parameters: the coupling strength and the spectrum width of the fr…
Maximizing measures for expanding transformations
Gonzalo Contreras, Artur Lopes, Phillipe Thieullen
On a one-sided shift of finite type we prove that for a generic Holder continuous function there is a unique maximizing measure. We show that b-Holder continuous functions can be a…