On the upper Minkowski dimension, the packing dimension, and orthogonal projections
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On the Hausdorff dimension of Furstenberg sets and orthogonal projections in the plane
Orponen, Tuomas; Shmerkin, Pablo (Duke University Press, 2023)Let 0 s 1 and 0 t 2. An .s;t/-Furstenberg set is a set K R2 with the following property: there exists a line set L of Hausdorff dimension dimH L t such that dimH.K \ `/ s for all ` 2 L. We prove that for s 2 .0;1/ and ... -
Integrability of orthogonal projections, and applications to Furstenberg sets
Dąbrowski, Damian; Orponen, Tuomas; Villa, Michele (Elsevier BV, 2022) -
Dimension of projection : Marstrand's theorem
Pesonen, Sofia (2022)Tässä tutkielmassa todistetaan Marstrandin projektiolause käyttäen apuna potentiaaliteoriaa. Projektiolauseen mukaan 2-ulotteisen Borel joukon ortogonaaliprojektion Hausdorffin dimensio on luvun 1 ja kyseisen Borel joukon ... -
Synthesis and application of orthogonal signal bases possessing enhanced time-frequency localization for mobile wireless networks
Petrov, Dmitry (University of Jyväskylä, 2012) -
Orthogonal switching of AMS axes during type-2 fold interference : Insights from integrated X-ray computed tomography, AMS and 3D petrography
Sayab, Mohammad; Miettinen, Arttu; Aerden, Domingo; Karell, Fredrik (Pergamon Press, 2017)We applied X-ray computed microtomography (μ-CT) in combination with anisotropy of magnetic susceptibility (AMS) analysis to study metamorphic rock fabrics in an oriented drill core sample of pyrite-pyrrhotite-quartz-mica ...