Séminaires A3 à venir
Séminaires les lundi à 11h en salle BC101.
Organisé par Alberto Farina, Gaspard Kemlin et Abraham Sylla
We introduce an interacting particle system originating from a nucleation process and investigate the nucleation time as a function of the interaction strength, ranging from weak to strong. Using (uniform) propagation of chaos, we study the non-linear mean-field limit. A standard analysis yields a Yaglom limit conditionned on non-nucleation and its associated tails for the distribution of the nucleation time. The most surprising result arises in the strong interaction regime: the tails follow a decay, where denotes the nucleus size. This result is obtained through an application of the centre manifold theorem. This is a joint work with Frédéric Paccaut.
TBA
T.B.A.
T.B.A.