Sökning: "asymptotic shape"

Visar resultat 1 - 5 av 21 avhandlingar innehållade orden asymptotic shape.

  1. 1. Asymptotic and universal spectral estimates with applications in many-body quantum mechanics and spectral shape optimization

    Författare :Simon Larson; Ari Laptev; Stefan Steinerberger; KTH; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Spectral theory; shape optimization; semiclassical asymptotics; spectral inequalities; quantum mechanics; Mathematics; Matematik;

    Sammanfattning : 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. LÄS MER

  3. 2. Aspects of Spatial Random Processes

    Författare :Olle Häggström; Göteborgs universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; subshift of finite type; measure of maximal entropy; Ising model; Gibbs measure; uniform spanning tree; first passage percolation; asymptotic shape; first passage percolation;

    Sammanfattning : 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. LÄS MER

  4. 3. Waves and instabilities through the lens of asymptotic analysis

    Författare :Anthony Bonfils; John Wettlaufer; Dhrubaditya Mitra; Woosok Moon; Jerome Neufeld; Stockholms universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; waves; wrinkles; instabilities; Theoretical Physics; teoretisk fysik;

    Sammanfattning : 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. LÄS MER

  5. 4. Asymptotics and dynamics in first-passage and continuum percolation

    Författare :Daniel Ahlberg; Göteborgs universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; first-passage percolation; noise sensitivity; continuum percolation; Gilbert model; limit theorems; shape theorem; stopped random walks; large deviations; dynamical percolation; continuum percolation;

    Sammanfattning : 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. LÄS MER

  7. 5. Axicon imaging by scalar diffraction theory

    Författare :Anna Burvall; KTH; []
    Nyckelord :axicons; diffractive optics; coherence; asymptotic methods; communication modes; information content; inverse problems;

    Sammanfattning : 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. LÄS MER