Search for dissertations about: "Dimensional functions"

Showing result 1 - 5 of 323 swedish dissertations containing the words Dimensional functions.

2. 1. Bounds on Hilbert Functions

   Author : Ornella Greco; Mats Boij; Aldo Conca; KTH; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; Hilbert Functions; Commutative Algebra;

   Abstract : This thesis is constituted of two articles, both related to Hilbert functions and h-vectors. In the first paper, we deal with h-vectorsof reduced zero-dimensional schemes in the projective plane, and, in particular, with the problem of finding the possible h-vectors for the union of two sets of points of given h-vectors. READ MORE

4. 2. A Study of Smooth Functions and Differential Equations on Fractals

   Author : Anders Pelander; Anders Öberg; Svante Janson; Alexander Teplyaev; Tom Lindström; Uppsala universitet; []
   Keywords : Mathematical analysis; Analysis on fractals; p.c.f. fractals; Sierpinski gasket; Laplacian; differential equations on fractals; infinite dimensional i.f.s.; invariant measure; harmonic functions; smooth functions; derivatives; products of random matrices; Matematisk analys;

   Abstract : In 1989 Jun Kigami made an analytic construction of a Laplacian on the Sierpiński gasket, a construction that he extended to post critically finite fractals. Since then, this field has evolved into a proper theory of analysis on fractals. The new results obtained in this thesis are all in the setting of Kigami's theory. READ MORE

5. 3. Learning flow functions : architectures, universal approximation and applications to spiking systems

   Author : Miguel Aguiar; Karl H. Johansson; João Sousa; Maarten Schoukens; KTH; []
   Keywords : TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; Electrical Engineering; Elektro- och systemteknik;

   Abstract : Learning flow functions of continuous-time control systems is considered in this thesis. The flow function is the operator mapping initial states and control inputs to the state trajectories, and the problem is to find a suitable neural network architecture to learn this infinite-dimensional operator from measurements of state trajectories. READ MORE

6. 4. Amoebas, Discriminants, and Hypergeometric Functions

   Author : Lisa Nilsson; Mikael Passare; Maurice Rojas; Stockholms universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; amoeba; coamoeba; discriminant; hypergeometric functions; Mellin transform; Algebra; geometry and mathematical analysis; Algebra; geometri och analys; Mathematics; matematik;

   Abstract : This thesis consists of six chapters. In Chapter 1 we give some historical background to the topic of the thesis together with the fundamental definitions and results that the thesis is based on. In Chapter 2 we study Mellin transforms of rational functions and investigate their analytic continuations. READ MORE

7. 5. Limit Theorems for Lattices and L-functions

   Author : Kristian Holm; Göteborgs universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; Lattices; L-functions;

   Abstract : This PhD thesis investigates distributional questions related to three types of objects: Unimodular lattices, symplectic lattices, and Hecke L-functions of imaginary quadratic number fields of class number 1. In Paper I, we follow Södergren and examine the asymptotic joint distribution of a collection of random variables arising as geometric attributes of the N = N(n) shortest non-zero lattice vectors (up to sign) in a random unimodular lattice in n-dimensional Euclidean space, as the dimension n tends to infinity: Normalizations of the lengths of these vectors, and normalizations of the angles between them. READ MORE