Search for dissertations about: "asymptotic shape"
Showing result 1 - 5 of 21 swedish dissertations containing the words asymptotic shape.
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1. Asymptotic and universal spectral estimates with applications in many-body quantum mechanics and spectral shape optimization
Abstract : This thesis consists of eight papers primarily concerned with the quantitative study of the spectrum of certain differential operators. The majority of the results split into two categories. READ MORE
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2. Aspects of Spatial Random Processes
Abstract : This thesis consists of five papers dealing with various aspects of spatial random processes. In the first three papers the main focus is on a special class of such processes, namely measures of maximal entropy for subshifts of finite type. READ MORE
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3. Waves and instabilities through the lens of asymptotic analysis
Abstract : Understanding the interaction of water waves with winds and marine currents is a fundamental problem in geophysical fluid dynamics. From the point of view of hydrodynamic stability, surface waves are regarded as perturbations of an inviscid parallel shear flow modeling the wind in the air and the current in the water. READ MORE
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4. Asymptotics and dynamics in first-passage and continuum percolation
Abstract : This thesis combines the study of asymptotic properties of percolation processes with various dynamical concepts. First-passage percolation is a model for the spatial propagation of a fluid on a discrete structure; the Shape Theorem describes its almost sure convergence towards an asymptotic shape, when considered on the square (or cubic) lattice. READ MORE
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5. Axicon imaging by scalar diffraction theory
Abstract : Axicons are optical elements that produce Bessel beams,i.e., long and narrow focal lines along the optical axis. Thenarrow focus makes them useful ine. READ MORE