Convergence to the uniform distribution of moderately self-interacting diffusions on compact Riemannian manifolds

Simon Holbach, Olivier Raimond

We consider a self-interacting diffusion $X$ on a smooth compact Riemannian manifold $\mathbb{M}$, described by the stochastic differential equation \[ dX_t = \sqrt{2} dW_t(X_t)- β(…