7 papers
Self-similar behavior of the exchange-driven growth model with product kernel
Constantin Eichenberg, André Schlichting
We study the self-similar behavior of the exchange-driven growth model, which describes a process in which pairs of clusters, consisting of an integer number of monomers, interact…
Nonlocal-interaction equation on graphs: gradient flow structure and continuum limit
Antonio Esposito, Francesco S. Patacchini, André Schlichting +1
We consider dynamics driven by interaction energies on graphs. We introduce graph analogues of the continuum nonlocal-interaction equation and interpret them as gradient flows with…
Entropic curvature and convergence to equilibrium for mean-field dynamics on discrete spaces
Matthias Erbar, Max Fathi, André Schlichting
We consider non-linear evolution equations arising from mean-field limits of particle systems on discrete spaces. We investigate a notion of curvature bounds for these dynamics bas…
Barriers of the McKean--Vlasov energy via a mountain pass theorem in the space of probability measures
Rishabh S. Gvalani, André Schlichting
We show that the empirical process associated with a system of weakly interacting diffusion processes exhibits a form of noise-induced metastability. The result is based on an anal…
Poincaré and log-Sobolev inequalities for mixtures
André Schlichting
This work studies mixtures of probability measures on and gives bounds on the Poincaré and the log-Sobolev constant of two-component mixtures provided that each comp…
The exchange-driven growth model: basic properties and longtime behavior
André Schlichting
The exchange-driven growth model describes a process in which pairs of clusters interact through the exchange of single monomers. The rate of exchange is given by an interaction ke…