Sökning: "Malliavin Calculus"

Visar resultat 6 - 8 av 8 avhandlingar innehållade orden Malliavin Calculus.

  1. 6. A class of infinite dimensional stochastic processes with unbounded diffusion

    Författare :John Karlsson; Jörg-Uwe Löbus; Christian Bayer; Linköpings universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Malliavin calculus; Dirichlet form on Wiener space; unbounded diffusion;

    Sammanfattning : The aim of this work is to provide an introduction into the theory of infinite dimensional stochastic processes. The thesis contains the paper A class of infinite dimensional stochastic processes with unbounded diffusion written at Linköping University during 2012. LÄS MER

  2. 7. Gaussian structures and orthogonal polynomials

    Författare :Lars Larsson-Cohn; Kurt Johansson; Uppsala universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Mathematics; Meyer inequality; orthogonal polynomials; Lp-norms; information entropy; finite difference equations; central limit theorem; interpolation theory; Besov spaces; MATEMATIK; MATHEMATICS; MATEMATIK; Mathematics; Matematik;

    Sammanfattning : This thesis consists of four papers on the following topics in analysis and probability: analysis on Wiener space, asymptotic properties of orthogonal polynomials, and convergence rates in the central limit theorem. The first paper gives lower bounds on the constants in the Meyer inequality from the Malliavin calculus. LÄS MER

  3. 8. A class of infinite dimensional stochastic processes with unbounded diffusion and its associated Dirichlet forms

    Författare :John Karlsson; Jörg-Uwe Löbus; Torkel Erhardsson; Hans-Jürgen Engelbert; Linköpings universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES;

    Sammanfattning : This thesis consists of two papers which focuses on a particular diffusion type Dirichlet form  where  Here  is the basis in the Cameron-Martin space, H, consisting of the Schauder functions, and ν denotes the Wiener measure.In Paper I, we let  vary over the space of wiener trajectories in a way that the diffusion operator A is almost everywhere an unbounded operator on the Cameron–Martin space. LÄS MER