Anomalous scaling and phase transition in large deviations of dynamical observables of stationary Gaussian processes

Alexander Valov, Baruch Meerson

We study large deviations, over a long time window $T\to \infty$, of the dynamical observables $A_n={\int }_0^T{x}^n(t)dt$, $n=3,4,\dots$, where $x(t)$ is a centered stationary…