Projections of the uniform distribution on the cube: a large deviation perspective
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Publication:5066729
DOI10.4064/sm210413-16-9zbMath1486.60051arXiv2103.16430OpenAlexW3143130018MaRDI QIDQ5066729
Samuel Johnston, Joscha Prochno, Zakhar Kabluchko
Publication date: 30 March 2022
Published in: Studia Mathematica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2103.16430
Probability measures on topological spaces (60B05) Large deviations (60F10) Asymptotic theory of convex bodies (52A23) Asymptotic theory of Banach spaces (46B06)
Cites Work
- A central limit theorem for projections of the cube
- Large deviations for random projections of \(\ell^{p}\) balls
- Large deviations techniques and applications.
- Large deviations for high-dimensional random projections of \(\ell_p^n\)-balls
- Beta polytopes and Poisson polyhedra: \(f\)-vectors and angles
- Sanov-type large deviations in Schatten classes
- Large deviations, moderate deviations, and the KLS conjecture
- Gaussian fluctuations for high-dimensional random projections of \(\ell_p^n\)-balls
- A central limit theorem for convex sets
- Generalized Dirichlet distributions on the ball and moments
- A conditional limit theorem for high-dimensional ℓᵖ-spheres
- High-dimensional limit theorems for random vectors in ℓpn-balls
- High-dimensional limit theorems for random vectors in ℓpn-balls. II
- CLT and the volume of intersections of \(\ell_p^n\)-balls
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