Search
Skip to Search Results
Filter
Subject / Keyword
- 3Convex Geometry
- 2Geometric Tomography
- 1Busemann-Petty problem
- 1Combinatorial Geometry
- 1Cone
- 1Covering
Author / Creator / Contributor
Year
Collections
Languages
Item type
Supervisors
- 1Litvak, Alexander (Mathematical and Statistical Sciences)
- 1Vladyslav, Yaskin (Mathematical and Statistical Sciences)
- 1Vritsiou, Beatrice (Mathematical and Statistical Sciences)
- 1Yaskin, Vladyslav (Department of Mathematical and Statistical Sciences)
- 1Yaskin, Vladyslav (Mathematical and Statistical Sciences)
-
Fall 2022
Let n ≥ 3 and B ⊂ ℝⁿ. The Illumination Conjecture states that the minimal number I(B) of directions/‘light sources’ that illuminate the boundary of a convex body B, which is not the affine image of a cube, is strictly less than 2ⁿ. The conjecture in most cases is widely open, and it has only been...
-
Fall 2015
The Busemann-Petty problem asks the following: if 𝐾,𝐿 ⊂ ℝⁿ are origin-symmetric convex bodies such that volₙ₋₁(𝐾 ∩ ξ^⊥)) ≤ volₙ₋₁(𝐿 ∩ ξ^⊥) ∀ ξ ∈ Sⁿ⁻¹, is it necessary that volₙ(𝐾) ≤ volₙ(𝐿)? This problem received a lot of attention, and many analogues have been considered. For origin-symmetric...
1 - 3 of 3