Geometrical sets with forbidden configurations

Given finite configurations $P_1, \dots , P_n \subset \mathbb {R}^d$ , let us denote by $\mathbf {m}_{\mathbb {R}^d}(P_1, \dots , P_n)$ the maximum density a set $A \subseteq \mathbb {R}^d$ can have without containing congruent copies of any $P_i$ . We will initiate the stu...

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Bibliographic Details
Main Author: Davi Castro-Silva
Format: Article
Language:English
Published: Cambridge University Press 2023-01-01
Series:Forum of Mathematics, Sigma
Online Access:https://www.cambridge.org/core/product/identifier/S2050509423000439/type/journal_article