Existence of similar point configurations in thin subsets of $${\mathbb {R}}^d$$
نویسندگان
چکیده
منابع مشابه
On two-point configurations in subsets of pseudo-random sets
We prove a transference type result for pseudo-random subsets of Z N that is analogous to the well-known Fürstenberg-Sárközy theorem. More precisely, let k 2 be an integer and let and be real numbers satisfying + ()/(2 k+1 3) > 1. Let ✓ Z N be a set with size at least N and linear bias at most N. Then, every A ✓ with relative density |A|/|| (log log N) 1 2 log log log log log N contains a pair ...
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Configuration similarity is a special form of content-based image retrieval that considers relative object locations. It can be used as a standalone method, or to complement retrieval based on visual or semantic features. The corresponding queries ask for sets of objects that satisfy some spatio-temporal constraints, e.g., “find all triplets of objects ( 1, 2, 3), such that 1 is northeast of 2,...
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ژورنال
عنوان ژورنال: Mathematische Zeitschrift
سال: 2020
ISSN: 0025-5874,1432-1823
DOI: 10.1007/s00209-020-02537-1