Search for dissertations about: "analysis on homogeneous spaces"

Found 5 swedish dissertations containing the words analysis on homogeneous spaces.

2. 1. Asymptotic Problems on Homogeneous Spaces

   Author : Anders Södergren; Andreas Strömbergsson; Dennis Hejhal; Jens Marklof; Uppsala universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; Analysis on homogeneous spaces; hyperbolic manifolds; spectral theory; equidistribution; the space of lattices; length statistics; Poisson process; moments; Epstein zeta function; value distribution; height function.; MATHEMATICS; MATEMATIK; Mathematics; Matematik;

   Abstract : This PhD thesis consists of a summary and five papers which all deal with asymptotic problems on certain homogeneous spaces. In Paper I we prove asymptotic equidistribution results for pieces of large closed horospheres in cofinite hyperbolic manifolds of arbitrary dimension. READ MORE

4. 2. Studies on boundary values of eigenfunctions on spaces of constant negative curvature

   Author : Pierre Bäcklund; Andreas Juhl; Andreas Strömbergsson; Genkai Zhang; Uppsala universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; Hyperbolic space; anti de Sitter space; spectral geometry; scattering theory; analysis on real and complex Lie groups; intertwining operators; Verma modules; analysis on homogeneous spaces; conformal differential geometry; Selberg zeta functions; Algebra; geometry and mathematical analysis; Algebra; geometri och analys;

   Abstract : This thesis consists of two papers on the spectral geometry of locally symmetric spaces of Riemannian and Lorentzian signature. Both works are concerned with the idea of relating analysis on such spaces to structures on their boundaries.The first paper is motivated by a conjecture of Patterson on the Selberg zeta function of Kleinian groups. READ MORE

5. 3. Some applications of representation theory in homogeneous dynamics and automorphic functions

   Author : Samuel Charles Edwards; Andreas Strömbergsson; Henrik Schlichtkrull; Uppsala universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; automorphic functions; effective equidistribution; Eisenstein series; homogeneous dynamics; horospheres; lattices; Lie groups; representation theory; Mathematics; Matematik;

   Abstract : This thesis consists of an introduction and five papers in the general area of dynamics and functions on homogeneous spaces. A common feature is that representation theory plays a key role in all articles. READ MORE

6. 4. Moments on a City Bus : Micro-sociology of Non-verbal Interaction in Urban Bus-riding

   Author : Magdalena Vieira; Sandra Torres; Elin Thunman; Philip Lalander; Uppsala universitet; []
   Keywords : SAMHÄLLSVETENSKAP; SOCIAL SCIENCES; public places; mundane; non-verbal interaction; interaction moments; gestures; homogeneous heterogeneous interaction; micro-sociology; Goffman; bus-riding; riders; time; space; bodies; interaction norms; structured participant observation; fieldnotes; territories; involvement; rituals; Sociologi; Sociology;

   Abstract : This thesis seeks to contribute to research on social interaction in public (and semi-public) places in general, and research on non-verbal mundane interaction in these places in particular. By paying empirical attention to the non-verbal interaction that takes place in the context of riding a city bus – which is a contained and time-limited form of social activity – this thesis explores the theoretically rich source of information about mundane interaction that this specific social activity offers. READ MORE

7. 5. An Immersed Finite Element Method and its Application to Multiphase Problems

   Author : Alexei Loubenets; Björn Engquist; Michael Shelley; KTH; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; fluid and plasma physics; applied mechanics; computer science; Numerical analysis; Numerisk analys;

   Abstract : Multiphase flows are frequently encountered in many important physical and industrial applications. These flows are usually characterized by very complicated structure that involves free moving surfaces inside the fluid domain and discontinuous or even singular material properties of the flow. READ MORE