On the fractal structure of attainable probability measures

DOI10.4064/ba8161-9-2018zbMath1435.11088OpenAlexW2898193574WikidataQ129033534 ScholiaQ129033534MaRDI QIDQ4614162

Andrea Sartori

Publication date: 30 January 2019

Published in: Bulletin of the Polish Academy of Sciences Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/ba8161-9-2018

zbMATH Keywords

lattice pointsattainable probability measures

Mathematics Subject Classification ID

Lattices and convex bodies (number-theoretic aspects) (11H06) Fractals (28A80) Convergence of probability measures (60B10) Special sequences (11K31)

Related Items (4)

Planck-scale number of nodal domains for toral eigenfunctions ⋮ Asymptotic nodal length and log-integrability of toral eigenfunctions ⋮ On the distribution of lattice points on hyperbolic circles ⋮ The defect of toral Laplace eigenfunctions and arithmetic random waves

Cites Work

• On probability measures arising from lattice points on circles
• The distribution of the lattice points on circles
• On the angular distribution of Gaussian integers with fixed norm
• Nodal length fluctuations for arithmetic random waves
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