Search for dissertations about: "Arguments for Mathematics"

Showing result 1 - 5 of 25 swedish dissertations containing the words Arguments for Mathematics.

2. 1. Automorphic string amplitudes

   Author : Henrik Gustafsson; Chalmers tekniska högskola; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; Eisenstein series; string theory; automorphic forms; U-duality; non-perturbative effects; Whittaker vectors; instantons;

   Abstract : This thesis explores the non-perturbative properties of higher derivative interactions appearing in the low-energy expansion of four-graviton scattering amplitudes in toroidal compactifications of type IIB string theory. We summarise the arguments for finding such higher derivative corrections in terms of automorphic forms using U-duality, supersymmetry and string perturbation theory. READ MORE

4. 2. Homogenization of reaction-diffusion problems with nonlinear drift in thin structures

   Author : Vishnu Raveendran; Adrian Muntean; Emilio N.M. Cirillo; Claudia Timofte; Karlstads universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; Thin layer; homogenization; dimension reduction; reaction-diffusion-convection problem; two-scale convergence; effective transmission condition; fast drift; weak solvability of quasi-linear parabolic systems in unbounded domains.; Matematik; Mathematics;

   Abstract : We study the question of periodic homogenization of a variably scaled reaction-diffusion equation with non-linear drift of polynomial type. The non-linear drift was derived as hydrodynamic limit of a totally asymmetric simple exclusion process (TASEP) for a population of interacting particles crossing a domain with obstacle. READ MORE

5. 3. Mathematical analysis and approximation of a multiscale elliptic-parabolic system

   Author : Omar Richardson; Adrian Muntean; Alfred Schmidt; Karlstads universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; Two-scale modelling; two-scale Galerkin approximation; inverse Robin estimates; elliptic-parabolic system; a priori analysis; a posteriori error estimators; Matematik; Mathematics;

   Abstract : We study a two-scale coupled system consisting of a macroscopic elliptic equation and a microscopic parabolic equation. This system models the interplay between a gas and liquid close to equilibrium within a porous medium with distributed microstructures. We use formal homogenization arguments to derive the target system. READ MORE

6. 4. Exploring Probabilistic Reasoning : A Study of How Students Contextualise Compound Chance Encounters in Explorative Settings

   Author : Per Nilsson; Inger Wistedt; Lennart Hellström; Dave Pratt; Växjö universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; Probabilistic reasoning; randomness; compound chance encounters; contextualisation; differentiation; elaborative variation.; MATHEMATICS; MATEMATIK; Matematikdidaktik; Mathematical Education;

   Abstract : This thesis aims at exploring how probabilistic reasoning arises in explorative learning situations that are random in nature. The focus is especially on what learners with scant experience of formal theories of probability do and can do when dealing with compound random situations in which they are offered opportunities to integrate different probabilistic lines of reasoning. READ MORE

7. 5. Complexity and Error Analysis of Numerical Methods for Wireless Channels, SDE, Random Variables and Quantum Mechanics

   Author : Håkon Hoel; Anders Szepessy; Helse Holden; KTH; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; Wireless Channels; SDE; Monte Carlo Methods; Molecular Dynamics; Quantum Mechanics;

   Abstract : This thesis consists of the four papers which consider different aspects of stochastic process modeling, error analysis, and minimization of computational cost.     In Paper I, we construct a Multipath Fading Channel (MFC) model for wireless channels with noise introduced through scatterers flipping on and off. READ MORE