Sökning: "random processes"
Visar resultat 1 - 5 av 249 avhandlingar innehållade orden random processes.
1. Random Geometry and Reinforced Jump Processes
Sammanfattning : This thesis comprises three papers studying several mathematical models related to geometric Markov processes and random processes with reinforcements. The main goal of these works is to investigate the dynamics as well as the limiting behaviour of the models as time goes to infinity, the existence of invariant measures and limiting distributions, the speed of convergence and other interesting relevant properties. LÄS MER
2. Asymptotics of random matrices and matrix valued processes
Sammanfattning : 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. LÄS MER
3. Aspects of Spatial Random Processes
Sammanfattning : This thesis consists of five papers dealing with various aspects of spatial random processes. In the first three papers the main focus is on a special class of such processes, namely measures of maximal entropy for subshifts of finite type. LÄS MER
4. Inertial collisions in random flows
Sammanfattning : In nature, suspensions of small particles in fluids are common. An important example are rain droplets suspended in turbulent clouds. Such clouds can start to rain very quickly and the reason for this is still not fully explained, but it is believed that the turbulent motion in the cloud plays an important role. LÄS MER
5. Numerical analysis for random processes and fields and related design problems
Sammanfattning : In this thesis, we study numerical analysis for random processes and fields. We investigate the behavior of the approximation accuracy for specific linear methods based on a finite number of observations. Furthermore, we propose techniques for optimizing performance of the methods for particular classes of random functions. LÄS MER