Non-integrability and chaos for natural Hamiltonian systems with a random potential

Alberto Enciso, Daniel Peralta-Salas, Álvaro Romaniega

Consider the ensemble of Gaussian random potentials $\{V^L(q){\}}_{L=1}^{\infty }$ on the $d$-dimensional torus where, essentially, $V^L(q)$ is a real-valued trigonometric polynomial of…