Non-diagonal critical central sections of the cube

DOI10.1016/j.aim.2024.109524arXiv2307.03792OpenAlexW4392085021MaRDI QIDQ6200728

Gergely Ambrus, Barnabás Gárgyán

Publication date: 25 March 2024

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2307.03792

zbMATH Keywords

Eulerian numbersextremal sectionscube sections

Mathematics Subject Classification ID

Combinatorial inequalities (05A20) Length, area, volume and convex sets (aspects of convex geometry) (52A38) Length, area and volume in real or complex geometry (51M25)

Cites Work

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• On the volume of hyperplane sections of a \(d\)-cube
• On the Eulerian numbers \(\displaystyle{ M_ n = \max{}_{1{\leq{}}k{\leq{}}n}A(n,k)}\)
• On the volume of sections of the cube
• Gitterperiodische Punktmengen und Isoperimetrie
• [https://portal.mardi4nfdi.de/wiki/Publication:3266682 Values of 2 π � ∞ 0 � � sint t � � n   dt]
• Cube Slicing in R n
• Slicing the Cube in R n and Probability (Bounds for the Measure of a Central Cube Slice in R n by Probability Methods)
• Central Diagonal Sections of the n-Cube
• An asymptotically sharp form of Ball’s integral inequality
• [https://portal.mardi4nfdi.de/wiki/Publication:5523287 Evaluation of I n (b) = 2π -1 � ∞ 0 � � sin x x � � n   cos(bx) dx and of Similar Integrals]
• [https://portal.mardi4nfdi.de/wiki/Publication:5524859 Evaluation of the Integral I n (b) = 2 π � ∞ 0 � � � sinx x � � � n   cos(bx) dx]
• Asymptotic properties of eulerian numbers
• Asymptotic evaluation of $\int_0^\infty\left(\frac{\sin x}{x}\right)^n\;dx$
• Critical central sections of the cube
• Shallow sections of the hypercube

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