2 citations · 2 across the 3 of their papers we have counts for
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Pathwise regularization of the stochastic heat equation with multiplicative noise through irregular perturbation
Rémi Catellier, Fabian A. Harang
Existence and uniqueness of solutions to the stochastic heat equation with multiplicative spatial noise is studied. In the spirit of pathwise regularization by noise, we show that…
A mean-field approach to self-interacting network, convergence and regularity
Rémi Catellier, Yves D'Angelo, Cristiano Ricci
The propagation of chaos property for a system of interacting particles, describing the spatial evolution of a network of interacting filaments is studied. The creation of a networ…
Propagation of chaos for mean field rough differential equations
I. Bailleul, R. Catellier, F. Delarue
We address propagation of chaos for large systems of rough differential equations associated with random rough differential equations of mean field type $$ dX_t = V(X_t,\mathcal{L}…
Solving mean field rough differential equations
I. Bailleul, R. Catellier, F. Delarue
We provide in this work a robust solution theory for random rough differential equations of mean field type wh…