Sökning: "integral convexity"
Hittade 4 avhandlingar innehållade orden integral convexity.
1. Digital Geometry, Combinatorics, and Discrete Optimization
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
2. Valuation and Optimal Strategies in Markets Experiencing Shocks
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
3. Path-planning with obstacle-avoiding minimum curvature variation B-splines
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
4. Computing Vector-valued Modular Forms of Congruence Types and of Some Extension Types
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