Galileon models form a class of models where an additional scalar field is added to the Lagrangian describing the general theory of relativity. The addition of the scalar field causes a wide array...Show moreGalileon models form a class of models where an additional scalar field is added to the Lagrangian describing the general theory of relativity. The addition of the scalar field causes a wide array of phenomena within our universe to change. Among those phenomena are both the expansion of the universe and the formation of large scale structures. We will study how they are both changed within a subclass of the Galileon models, called the Galileon ghost condensate models. First, we explore the parameter space of the model to find the values that give rise to non-singular evolu- tions of the expansion of the universe. Then, we examine how the large scale structures would form within those universes. To do that we use the spherical collapse model, in which the evolution of a spherical overden- sity is tracked. The spherical overdensity models how a relatively small perturbation leads to the formation of dark matter halos. We will show that the Galileon ghost condensate models still allow for a large degree of freedom within the spherical collapse, which would allow further research to constrain its parameter space.Show less
Many things remain unknown about the functioning of Auxin in plant development of growth. We evaluate two models regarding Auxin propagation and investigate whether they allow for the formation of...Show moreMany things remain unknown about the functioning of Auxin in plant development of growth. We evaluate two models regarding Auxin propagation and investigate whether they allow for the formation of Auxin pulses. We numerically uncover the existence of families of small-amplitude traveling pulses and theoretically analyze their leading order behaviour.Show less
The Covariant Galileon Model is an extension of General Relativity constructed by adding an extra scalar degree of freedom to it. The mathematical background of the model is therefore also found in...Show moreThe Covariant Galileon Model is an extension of General Relativity constructed by adding an extra scalar degree of freedom to it. The mathematical background of the model is therefore also found in differential geometry. The equations of motion of the model can be derived from its Lagrangian. Using the ADM formalism and tools from differential geometry the EFT functions of the model are then found. Numerical solutions to the model are given for two different sets of parameters and for variations of the the present day matter density and the Hubble constant at the start of the simulation. From these it is concluded that a more thorough Monte Carlo simulation of the model is a useful tool for further analysis of the model. Furthermore more research is needed for a better interpretation of the found solutions to the model.Show less
Various modern instruction set architectures contain SIMD instructions. By using these instructions, programmers and compilers can expose fine-grained parallelism on the processor and significantly...Show moreVarious modern instruction set architectures contain SIMD instructions. By using these instructions, programmers and compilers can expose fine-grained parallelism on the processor and significantly increase the performance of their programs. Analytical models such as the polyhedral model facilitate various transformations and analyses, which enable efficient automated selection of transformations. In this thesis we examine applying polyhedral compilation to automatic vectorization by the compiler. In combination with an analytic model for the performance gains this enables efficiently selecting transformations to vectorize loops.Show less
