Sökning: "limit theorems"
Visar resultat 1 - 5 av 27 avhandlingar innehållade orden limit theorems.
1. Limit theorems for generalizations of GUE random matrices
Sammanfattning : This thesis consists of two papers devoted to the asymptotics of random matrix ensembles and measure valued stochastic processes which can be considered as generalizations of the Gaussian unitary ensemble (GUE) of Hermitian matrices H=A+A†, where the entries of A are independent identically distributed (iid) centered complex Gaussian random variables. In the first paper, a system of interacting diffusing particles on the real line is studied; special cases include the eigenvalue dynamics of matrix-valued Ornstein-Uhlenbeck processes (Dyson's Brownian motion). LÄS MER
2. Limit Theorems for Lattices and L-functions
Sammanfattning : This PhD thesis investigates distributional questions related to three types of objects: Unimodular lattices, symplectic lattices, and Hecke L-functions of imaginary quadratic number fields of class number 1. In Paper I, we follow Södergren and examine the asymptotic joint distribution of a collection of random variables arising as geometric attributes of the N = N(n) shortest non-zero lattice vectors (up to sign) in a random unimodular lattice in n-dimensional Euclidean space, as the dimension n tends to infinity: Normalizations of the lengths of these vectors, and normalizations of the angles between them. LÄS MER
3. Limit theorems for some stochastic epidemic models
Sammanfattning : .... LÄS MER
4. Limit theorems for sums of random variables
Sammanfattning : .... LÄS MER
5. Distributional Limit Theorems on the Space of Lattices
Sammanfattning : .... LÄS MER
