Sökning: "random measure"

Visar resultat 16 - 20 av 157 avhandlingar innehållade orden random measure.

1. 16. 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. 17. A Study of Smooth Functions and Differential Equations on Fractals

   Författare :Anders Pelander; Anders Öberg; Svante Janson; Alexander Teplyaev; Tom Lindström; Uppsala universitet; []
   Nyckelord :Mathematical analysis; Analysis on fractals; p.c.f. fractals; Sierpinski gasket; Laplacian; differential equations on fractals; infinite dimensional i.f.s.; invariant measure; harmonic functions; smooth functions; derivatives; products of random matrices; Matematisk analys;

   Sammanfattning : In 1989 Jun Kigami made an analytic construction of a Laplacian on the Sierpiński gasket, a construction that he extended to post critically finite fractals. Since then, this field has evolved into a proper theory of analysis on fractals. The new results obtained in this thesis are all in the setting of Kigami's theory. LÄS MER

4. 18. Linear statistics of random matrices and log-gases

   Författare :Klara Courteaut; Kurt Johansson; Christian Webb; KTH; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Matematik; Mathematics;

   Sammanfattning : This thesis is concerned with point processes arising in Random Matrix Theory. It is a compilation thesis: it consists of an introduction and three research papers.In Paper A and Paper B, we study random matrices from the classical compact groups, namely orthogonal, unitary, and symplectic matrices distributed according to Haar measure. LÄS MER

5. 19. Conformal Maps, Bergman Spaces, and Random Growth Models

   Författare :Alan Sola; Haakan Hedenmalm; Robert Berman; KTH; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Conformal maps; Bergman kernels; planar growth models; MATHEMATICS; MATEMATIK;

   Sammanfattning : This thesis consists of an introduction and five research papers on topics related to conformal mapping, the Loewner equation and its applications, and Bergman-type spaces of holomorphic functions. The first two papers are devoted to the study of integral means of derivatives of conformal mappings. LÄS MER

7. 20. Limit Theorems for Ergodic Group Actions and Random Walks

   Författare :Michael Björklund; Anders Karlsson; Yves Guivarc'h Irmar; KTH; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; MATHEMATICS; MATEMATIK;

   Sammanfattning : This thesis consists of an introduction, a summary and 7 papers. The papers are devoted to problems in ergodic theory, equidistribution on compact manifolds and random walks on groups. In Papers A and B, we generalize two classical ergodic theorems for actions of abelian groups. LÄS MER