129 citations · 510 across the 51 of their papers we have counts for
60 papers
Propagation of chaos and hydrodynamic description for topological models
Dario Benedetto, Thierry Paul, Stefano Rossi
In this work, we study the deterministic Cucker-Smale model with topological interaction. Focusing on the solutions of the corresponding Liouville equation, we show that propagatio…
Microscopic, kinetic and hydrodynamic hybrid models of collective motions withchemotaxis: a numerical study
Marta Menci, Roberto Natalini, Thierry Paul
A general class of hybrid models has been introduced recently, gathering the advantages multiscale descriptions. Concerning biological applications, the particular coupled structur…
Mean Field Limit for the Kac model and Grand Canonical Formalism
Thierry Paul, Mario Pulvirenti, Sergio Simonella
We consider the classical Kac's model for the approximation of the Boltzmann equation, and study the correlation error measuring the defect of propagation of chaos in the mean fiel…
On quantum complex flows
Thierry Paul
We study the propagation of quantum T{ö}plitz observables through quantized complex linear canonical transformation of one degree of freedom systems. We associate to such a propaga…
Husimi, Wigner, T{ö}plitz, quantum statistics and anticanonical transformations
Thierry Paul
We study the behaviour of Husimi, Wigner and T{ö}plitz symbols of quantum density matrices when quantum statistics are tested on them, that is when on exchange two coordinates in o…
Species of spaces
Thierry Paul
Classical limits of quantum systems are shown to lead to different conceptions of spaces different from the classical one underlying the process of quantization of such systems. Th…