Sökning: "limit theorems"
Visar resultat 16 - 20 av 27 avhandlingar innehållade orden limit theorems.
16. Fluctuations of smooth linear statistics of determinantal point processes
Sammanfattning : We study eigenvalues of unitary invariant random matrices and other de-terminantal point processes. Paper A investigates some generalizations ofthe Gaussian Unitary Ensemble which are motivated by the physics of freefermions. LÄS MER
17. Markov Chains, Renewal, Branching and Coalescent Processes : Four Topics in Probability Theory
Sammanfattning : This thesis consists of four papers.In paper 1, we prove central limit theorems for Markov chains under (local) contraction conditions. As a corollary we obtain a central limit theorem for Markov chains associated with iterated function systems with contractive maps and place-dependent Dini-continuous probabilities. LÄS MER
18. Symmetry in Randomness : Additive Functionals and Symmetries of Random Trees and Tree-Like Graphs
Sammanfattning : Properties of symmetries in random trees and tree-like graphs are explored. The primary structures studied are Galton-Watson trees, unlabeled unordered trees as well as labeled subcritical graphs. LÄS MER
19. Non-linear Free Boundary Problems
Sammanfattning : This thesis consists of an introduction and four research papers related to free boundary problems and systems of fully non-linear elliptic equations.Paper A and Paper B prove optimal regularity of solutions to general elliptic and parabolic free boundary problems, where the operators are fully non-linear and convex. LÄS MER
20. On pressure-driven Hele-Shaw flow
Sammanfattning : The present licentiate thesis is devoted to the rigorous derivation of the equations governing thin-film flow of incompressible Newtonian and non-Newtonian fluids. More precisely, we consider flow in a generalized Hele-Shaw cell, which is a thin three-dimensional domain confined between two surfaces connected by cylindrical obstacles of various shapes. LÄS MER
