Sökning: "Riemannian manifold"
Visar resultat 11 - 15 av 15 avhandlingar innehållade orden Riemannian manifold.
11. Limit Theorems for Ergodic Group Actions and Random Walks
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
12. Graph Techniques for Matrix Equations and Eigenvalue Dynamics
Sammanfattning : One way to construct noncommutative analogues of a Riemannian manifold Σ is to make use of the Toeplitz quantization procedure. In Paper III and IV, we construct C-algebras for a continuously deformable class of spheres and tori, and by introducing the directed graph of a representation, we can completely characterize the representation theory of these algebras in terms of the corresponding graphs. LÄS MER
13. Partitioning and Control for Dynamical Systems Evolving on Manifolds
Sammanfattning : With the development and integration of cyber-physical and safety-critical systems, control systems are expected to achieve tasks that include logic rules, receptive decision-making, safety constraints, and so forth. For example, in a persistent surveillance application, an unmanned aerial vehicle might be required to "take photos of areas A and B infinitely often, always avoid unsafe region C, and return to the charging point when the battery level goes low. LÄS MER
14. A class of infinite dimensional stochastic processes with unbounded diffusion and its associated Dirichlet forms
Sammanfattning : This thesis consists of two papers which focuses on a particular diffusion type Dirichlet form where Here is the basis in the Cameron-Martin space, H, consisting of the Schauder functions, and ν denotes the Wiener measure.In Paper I, we let vary over the space of wiener trajectories in a way that the diffusion operator A is almost everywhere an unbounded operator on the Cameron–Martin space. LÄS MER
15. Nelson-type Limits for α-Stable Lévy Processes
Sammanfattning : Brownian motion has met growing interest in mathematics, physics and particularly in finance since it was introduced in the beginning of the twentieth century. Stochastic processes generalizing Brownian motion have influenced many research fields theoretically and practically. LÄS MER
