Diffusion Processes: entropy, Gibbs states and the continuous time Ruelle operator

A. O. Lopes, G. Muller, A. Neumann

We consider a Riemmaniann compact manifold $M$, the associated Laplacian $\hat{I}”$ and the corresponding Brownian motion $X_t$, $t\ge 0.$ Given a Lipschitz function $V:M\to \mathbb{R}$ w…