Search for dissertations about: "Spectral distribution"
Showing result 1 - 5 of 169 swedish dissertations containing the words Spectral distribution.
-
1. On the asymptotic spectral distribution of random matrices : closed form solutions using free independence
Abstract : The spectral distribution function of random matrices is an information-carrying object widely studied within Random matrix theory. In this thesis we combine the results of the theory together with the idea of free independence introduced by Voiculescu (1985). READ MORE
-
2. Distribution Preserving Quantization
Abstract : In the lossy coding of perceptually relevant signals, such as sound and images, the ultimate goal is to achieve good perceived quality of the reconstructed signal, under a constraint on the bit-rate. Conventional methodologies focus either on a rate-distortion optimization or on the preservation of signal features. READ MORE
-
3. Contributions to High–Dimensional Analysis under Kolmogorov Condition
Abstract : This thesis is about high–dimensional problems considered under the so{called Kolmogorov condition. Hence, we consider research questions related to random matrices with p rows (corresponding to the parameters) and n columns (corresponding to the sample size), where p > n, assuming that the ratio converges when the number of parameters and the sample size increase. READ MORE
-
4. Some Markov Processes in Finance and Kinetics : Markov Processes
Abstract : This thesis consists of four papers. The first two papers treat extremes for L\'evy processes, while papers three and four treat the Kac model with unbounded collision kernel. READ MORE
-
5. Asymptotics of random matrices and matrix valued processes
Abstract : This thesis contains three parts. In the first two papers we consider spectral properties of symmetric matrices with elements consisting of independent Ornstein Uhlenbeck processes. The eigenvalues behave as a particle system on the real line with singular interaction consisting of electrostatic repulsion and a linear restoring force. READ MORE