Large deviations for occupation and waiting times of infinite ergodic transformations

In this paper we establish large deviation estimates related to the Darling--Kac theorem and generalized arcsine laws for occupation and waiting times of ergodic transformations preserving an infinite measure, such as interval maps with indifferent fixed points. For the proof we imitate the study of generalized arcsine laws for occupation times of one-dimensional diffusion processes and adopt a method of double Laplace transform.