Sökning: "finite metric space"
Visar resultat 1 - 5 av 8 avhandlingar innehållade orden finite metric space.
1. Optimal and Hereditarily Optimal Realizations of Metric Spaces
Sammanfattning : This PhD thesis, consisting of an introduction, four papers, and some supplementary results, studies the problem of finding an optimal realization of a given finite metric space: a weighted graph which preserves the metric's distances and has minimal total edge weight. This problem is known to be NP-hard, and solutions are not necessarily unique. LÄS MER
2. On the Einstein-Vlasov system
Sammanfattning : In this thesis we consider the Einstein-Vlasov system, which models a system of particles within the framework of general relativity, and where collisions between the particles are assumed to be sufficiently rare to be neglected. Here the particles are stars, galaxies or even clusters of galaxies, which interact by the gravitational field generated collectively by the particles. LÄS MER
3. Random iteration of isometries
Sammanfattning : This thesis consists of four papers, all concerning random iteration of isometries. The papers are:I. Ambroladze A, Ådahl M, Random iteration of isometries in unbounded metric spaces. Nonlinearity 16 (2003) 1107-1117. LÄS MER
4. Convex Duality Approach to Robust Stabilization of Uncertain Plants
Sammanfattning : In this thesis we are study the problem of designing the controllers that are robust with respect to the parametric uncertainty. In Part I "The Rank-One Problem" we consider the class of systems with restriction that the structure of uncertainty is limited to a vector. LÄS MER
5. Approximation of pluricomplex Green functions : A probabilistic approach
Sammanfattning : This PhD thesis focuses on probabilistic methods of approximation of pluricomplex Green functions and is based on four papers.The thesis begins with a general introduction to the use of pluricomplex Green functions in multidimensional complex analysis and a review of their main properties. LÄS MER