abstract: Uniformly expanding Markov maps of the interval are extremely useful and well-known models in ergodic theory. The analogous models in infinite ergodic theory, namely, the uniformly expanding Markov maps of R which preserve an infinite measure, are instead less known. In this talk I will consider some of their chaotic properties. First, I will present a result that characterizes the exact components of a very general class of such systems, giving also sufficient conditions for exactness. Then, I will study the mixing properties of certain subclasses, in the sense of the notions of infinite mixing that I have recently introduced.