Sökning: "Hausdorff measure"

Hittade 5 avhandlingar innehållade orden Hausdorff measure.

  1. 1. Stable iterated function systems

    Författare :Erland Gadde; Hans Wallin; Umeå universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Hausdorff metric; iterated function system IFS ; attractor; invariant set; address; Hutchinson’s metric; we a k* -topology; IFS with probabilities; invariant measure; the Random Iteration Algorithm;

    Sammanfattning : The purpose of this thesis is to generalize the growing theory of iterated function systems (IFSs). Earlier, hyperbolic IFSs with finitely many functions have been studied extensively. Also, hyperbolic IFSs with infinitely many functions have been studied. In this thesis, more general IFSs are studied. LÄS MER

  3. 2. 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

  4. 3. Carlson type inequalities and their applications

    Författare :Leo Larsson; Viktor Burenkov; Uppsala universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Mathematical analysis; Carlson’s inequality; weighted inequality; Lp space; general measure space; interpolation; embedding; Matematisk analys; Mathematical analysis; Analys; matematik; Mathematics;

    Sammanfattning : This thesis treats inequalities of Carlson type, i.e. inequalities of the form∥f∥x≤K∏i=1m∥f∥Aiθiwhere ∑i=1mθi =1 and K is some constant, independent of the function f. X and Ai are normed spaces, embedded in some Hausdorff topological vector space. LÄS MER

  5. 4. Asymptotics of the Scenery Flow and Properties of the Fourier Dimension

    Författare :Fredrik Ekström; Matematik LTH; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES;

    Sammanfattning : This thesis is about the scenery flow and the Fourier dimension.The scenery flow is a semiflow on the space of Borel probability measures on the interval [-1, 1] that have the origin in their support. The flow acts on such a measure by enlarging it, restricting it back to [-1, 1] and renormalising it to a probability measure. LÄS MER

  7. 5. On two-dimensional conformal geometry related to the Schramm-Loewner evolution

    Författare :Lukas Schoug; Fredrik Viklund; Nathanaël Berestycki; KTH; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; Conformal invariance; scaling; random fractals; Mathematics; Matematik;

    Sammanfattning : This thesis contains three papers, one introductory chapter and one chapter with overviews of the papers and some additional results. The topic of this thesis is the geometry of models related to the Schramm-Loewner evolution.In Paper I, we derive a multifractal boundary spectrum for SLEκ(ρ) processes with κ.. LÄS MER