A First Course in Ergodic Theory provides readers with an introductory course in Ergodic
Theory. This textbook has been developed from the authors' own notes on the subject, which …

We study for the first time linear response for random compositions of maps, chosen
independently according to a distribution P. We are interested in the following question: how …

Critical intermittency stands for a type of intermittent dynamics in iterated function systems,
caused by an interplay of a superstable fixed point and a repelling fixed point. We consider …

We develop for the first time a quenched thermodynamic formalism for random dynamical
systems generated by countably branched, piecewise-monotone mappings of the interval …

We continue the study of random continued fraction expansions, generated by random
application of the Gauss and the Rényi backward continued fraction maps. We show that this …

For a family of random intermittent dynamical systems with a superattracting fixed point we
prove that a phase transition occurs for the existence of an absolutely continuous invariant …

We analyze the two-point motions of iterated function systems on the unit interval generated
by expanding and contracting affine maps, where the expansion and contraction rates are …

We first survey the current state of the art concerning the dynamical properties of
multidimensional continued fraction algorithms defined dynamically as piecewise fractional …

The N-continued fraction expansion is a generalization of the regular continued fraction
expansion, where the digits 1 in the numerators are replaced by the natural number N. Each …

In 1964 Lochs proved a theorem on the number of continued fraction digits of a real number
$ x $ that can be determined from just knowing its first $ n $ decimal digits. In 2001 this result …