Search for dissertations about: "Nontypical Behaviour of Orbits and Birkhoff Averages for Expanding Maps"

Found 1 swedish dissertation containing the words Nontypical Behaviour of Orbits and Birkhoff Averages for Expanding Maps.

2. 1. Nontypical Behaviour of Orbits and Birkhoff Averages for Expanding Maps

   Author : David Färm; Matematik LTH; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; expanding maps; beta-shifts; large intersection classes; Hausdorff dimension;

   Abstract : This thesis consists of an introductory chapter followed by five papers. In the first paper, expanding maps on the unit interval are considered. The set of points for which the forward orbit is bounded away from a given point is studied. It is shown that this set has full Hausdorff dimension and that it has large intersection properties. READ MORE