Sökning: "integral convexity"

Hittade 4 avhandlingar innehållade orden integral convexity.

1. 1. Digital Geometry, Combinatorics, and Discrete Optimization

   Författare :Shiva Samieinia; Christer Kiselman; Rikard Bøgvad; Rémy Malgouyres; Stockholms universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Digital geometry; Khalimsky topology; Khalimsky plane; Khalimsky-continuous function; digital straight line segments; discrete optimization; discrete convexity; integral convexity; lateral convexity; marginal function; MATHEMATICS; MATEMATIK; Mathematics; matematik;

   Sammanfattning : This thesis consists of two parts: digital geometry and discrete optimization. In the first part we study the structure of digital straight line segments. We also study digital curves from a combinatorial point of view. LÄS MER

3. 2. Valuation and Optimal Strategies in Markets Experiencing Shocks

   Författare :Hannah Dyrssen; Erik Ekström; Damien Lamberton; Uppsala universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; American options; optimal stopping; game options; jump diffusion; jump to default; free-boundary problems; early exercise premium; integral equation; parabolic pde; convexity; sequential testing; fixed-point approach; Mathematics with specialization in Applied Mathematics; Matematik med inriktning mot tillämpad matematik;

   Sammanfattning : This thesis treats a range of stochastic methods with various applications, most notably in finance. It is comprised of five articles, and a summary of the key concepts and results these are built on.The first two papers consider a jump-to-default model, which is a model where some quantity, e.g. LÄS MER

4. 3. Path-planning with obstacle-avoiding minimum curvature variation B-splines

   Författare :Tomas Berglund; Luleå tekniska universitet; []
   Nyckelord :TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; Industriell elektronik; Industrial Electronics;

   Sammanfattning : We study the general problem of computing an obstacle-avoiding path that, for a prescribed weight, minimizes the weighted sum of a smoothness measure and a safety measure of the path. We consider planar curvature-continuous paths, that are functions on an interval of a room axis, for a point-size vehicle amidst obstacles. LÄS MER

5. 4. Computing Vector-valued Modular Forms of Congruence Types and of Some Extension Types

   Författare :Tobias Magnusson; Chalmers tekniska högskola; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; eisenstein series; modular forms; iterated eichler-shimura integrals; vector-valued modular forms;

   Sammanfattning : This thesis explores applications of vector-valued modular forms of congruence and extension types to scalar-valued modular forms for congruence subgroups with a character, higher order modular forms, and iterated Eichler-Shimura integrals of depth one and two, including considerable generalizations thereof. In \textsc{Paper I} (co-authored with Martin Raum), we present an algorithm for computing bases for spaces of vector-valued modular forms of congruence type and of weight at least $2$ in terms of products of components of vector-valued Eisenstein series. LÄS MER