779 citations
- École PolytechniqueFR888 papers
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17 papers · 1 filter
On the Infrared Problem for the Dressed Non-Relativistic Electron in a Magnetic Field
Laurent Amour, Jérémy Faupin, Benoit Grebert +1
We consider a non-relativistic electron interacting with a classical magnetic field pointing along the -axis and with a quantized electromagnetic field. The system is translat…
Polymorphic evolution sequence and evolutionary branching
Nicolas Champagnat, Sylvie Méléard
We are interested in the study of models describing the evolution of a polymorphic population with mutation and selection in the specific scales of the biological framework of adap…
Comparison of Perron and Floquet eigenvalues in age structured cell division cycle models
Jean Clairambault, Stéphane Gaubert, Thomas Lepoutre
We study the growth rate of a cell population that follows an age-structured PDE with time-periodic coefficients. Our motivation comes from the comparison between experimental tumo…
On mathematical models for Bose-Einstein condensates in optical lattices (expanded version)
Amandine Aftalion, Bernard Helffer
Our aim is to analyze the various energy functionals appearing in the physics literature and describing the behavior of a Bose-Einstein condensate in an optical lattice. We want to…
HIV with contact-tracing: a case study in Approximate Bayesian Computation
Michael G. B. Blum, Viet Chi Tran
Missing data is a recurrent issue in epidemiology where the infection process may be partially observed. Approximate Bayesian Computation, an alternative to data imputation methods…
Interacting multi-class transmissions in large stochastic networks
Carl Graham, Philippe Robert
The mean-field limit of a Markovian model describing the interaction of several classes of permanent connections in a network is analyzed. Each of the connections has a self-adapti…