Sökning: "beta-shifts"

Hittade 2 avhandlingar innehållade ordet beta-shifts.

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

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

    Sammanfattning : 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. LÄS MER

  3. 2. Dynamics of Smooth Hyperbolic Systems with Singularities

    Författare :Tomas Persson; Dynamiska system; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Matematik; Mathematics; Dimension Theory; Hyperbolic Dynamics; Subshift; SRB-measure;

    Sammanfattning : This thesis is about dynamics of piecewise hyperbolic maps on bounded sets in the plane and on the interval. It is based on the following papers: T. Persson, A piecewise hyperbolic map with absolutely continuous invariant measure, Dynamical Systems: An International Journal, 21:3 (2006), 363--378 T. LÄS MER