A simple proof of the exactness of expanding maps of the interval with an indifferent fixed point

摘要

Expanding maps with indifferent fixed points, a.k.a, intermittent maps, are popular models in nonlinear dynamics and infinite ergodic theory. We present a simple proof of the exactness of a wide class of expanding maps of [0, 1], with countably many surjective branches and a strongly neutral fixed point in 0. (C) 2015 Elsevier Ltd. All rights reserved.