Mean-field and graph limits for collective dynamics models with time-varying weights

In this example, at each step, one ball is removed from the urn, then black and white balls are added, b in total (with b ≥ 2), the number of white balls following a distribution µ

We identify the historical developmental trajectories of child protection systems together with common drivers: the evidential basis for the prevalence and effects of child abuse,

This problem has been addressed in [17], where the mean-field limit is established by means of a semiclassical expansion for which the term-by-term convergence can be

As in [42], the core of the material presented here is the mean field limit of N -particle systems governed by the equations of classical mechanics in the case where the

The present work establishes the mean-field limit of a N-particle system towards a regularized variant of the relativistic Vlasov-Maxwell system, following the work of

At the time of this writing, the mean-field limit for the N-body classical dynamics has been proved rigorously for general initial data in the case of C 1,1 interaction potentials

Arch. and Paul, T.: On the mean-field and classical limits of quantum mechanics. W.: Emergence of phase-locked states for the Kuramoto model in a large coupling regime. W.: On

In conclusion, a comparison between the analytical wave functions of the CBS rotor model and a microscopic Hamiltonian based on the relativistic mean field model has been performed