Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 5 of 5 for “"integral geometry"”.
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Complex-Analytic Methods in Reconstructive Integral Geometry
… main objectives and techniques in reconstructive integral geometry is presented. The inverse problem central to the author's work, namely reconstructing a function of position from its averages over a class of curves in the unit disc, is then introduced. We give several new results on that front …
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Integral geometry, Hamiltonian dynamics, and Markov Chain Monte Carlo
This thesis presents applications of differential geometry and graph theory to the design and analysis of Markov chain Monte Carlo (MCMC) algorithms. MCMC algorithms are used to generate samples from an arbitrary probability density [pi] in computationally demanding situations, since their mixing …
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Theory and applications of a functional from metric geometry
… d\mu(x)d\bar \nu(y)$. Study of the energy integral $J\sp\alpha$ has its roots in metric embedding theory and potential theory. Subject to certain moment vanishing conditions, a representation formula is proved using the Fourier transform and tempered distributions. Ideas from integral …
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Curves, Knots, and Total Curvature
… surveying methods from both differential and integral geometry. Related results are considered: the connection between total curvature and bridge number; an analysis of total curvature plus total torsion; a lower bound on the length of the normal indicatrix.
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Tensorwertige additive Funktionale auf konvexen Körpern
… hergeleitet, Minkowski-Tensoren betrachtet, Integralgeometrische Formeln hergeleitet und eine Basis des Vektorraumes der tensorwertigen stetigen additiven bewegungskovarianten Funktionale bestimmt.