Work

Bisecting measures with hyperplane arrangements

Year: 2019

Type: article

Abstract: We show that provided that n is a power of two, any nD measures in ℝn can be bisected by an arrangement of D hyperplanes.

Source: Mathematical Proceedings of the Cambridge Philosophical Society

DOI: 10.1017/s0305004119000380

Authors: ALFREDO HUBARD, ROMAN KARASEV

Institutions: Centre National de la Recherche Scientifique, École nationale des ponts et chaussées, Laboratoire d'Informatique Gaspard-Monge, Université Paris-Est Marne-la-Vallée, Moscow Institute of Physics and Technology, Institute for Information Transmission Problems

Language: English

Topic: Advanced Combinatorial Mathematics

Subfield: Discrete Mathematics and Combinatorics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2789403723

FWCI: 5.609

Cites: 4

Cited by: 20

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