Sökning: "algebraic topology"

Visar resultat 11 - 15 av 19 avhandlingar innehållade orden algebraic topology.

1. 11. Invariants for Multidimensional Persistence

   Författare :Martina Scolamiero; Wojciech Chacholski; Vin de Silva; KTH; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; computational topology; Matematik; Mathematics;

   Sammanfattning : The amount of data that our digital society collects is unprecedented. This represents a valuable opportunity to improve our quality of life by gaining insights about complex problems related to neuroscience, medicine and biology among others. LÄS MER

3. 12. Multipoint Okounkov bodies, strong topology of ω-plurisubharmonic functions and Kähler-Einstein metrics with prescribed singularities

   Författare :Antonio Trusiani; Chalmers tekniska högskola; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; Okounkov bodies; Seshadri constant; Kähler-Einstein metrics; Kähler Geometry; Canonical metrics; Fano manifolds; Pluripotential theory; Complex Monge-Ampère equations; Kähler packing;

   Sammanfattning : The most classical topic in Kähler Geometry is the study of Kähler-Einstein metrics as solution of complex Monge-Ampère equations. This thesis principally regards the investigation of a strong topology for ω-plurisubharmonic functions on a fixed compact Kähler manifold (X,ω), its connection with complex Monge-Ampère equations with prescribed singularities and the consequent study of singular Kähler-Einstein metrics. LÄS MER

4. 13. Study of ergodicity of p-adic dynamical systems with the aid of van der Put basis

   Författare :Ekaterina Yurova; Andrei Khrennikov; Valery Maksimov; Linnéuniversitetet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; p-adic numbers; van der Put basis; 1-Lipschitz; measure-preserving; ergodicity; sphere; T-function; Tillämpad matematik; Applied Mathematics;

   Sammanfattning : The study of p-adic dynamical systems is motivated by their applications in various (and surprisingly diverse) areas of mathematics, e.g., in physics, genetics, biology, cognitive science, neurophysiology, computer science, cryptology, etc. LÄS MER

5. 14. Distributed Estimation of Network Cardinalities

   Författare :Riccardo Lucchese; Luleå tekniska universitet; []
   Nyckelord :TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; Reglerteknik; Control Engineering;

   Sammanfattning : In distributed applications knowing the topological properties of the underlying communication network may lead to better performing algorithms. For instance, in distributed regression frameworks, knowing the number of active sensors allows to correctly weight prior information against evidence in the data. LÄS MER

7. 15. Optimizing Networked Systems and Inverse Optimal Control

   Författare :Han Zhang; Xiaoming Hu; Elias Jarlebring; Yiguang Hong; KTH; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Networked systems; energy optimal consensus control; semi-definite programming; distributed optimization; inverse optimal control; Mathematics; Matematik;

   Sammanfattning : This thesis is concerned with the problems of optimizing networked systems, including designing a distributed energy optimal consensus controller for homogeneous networked linear systems, maximizing the algebraic connectivity of a network by projected saddle point dynamics. In addition, the inverse optimal control problems for discrete-time finite time-horizon Linear Quadratic Regulators (LQRs) are considered. LÄS MER