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  • A Decade of UiO-66 Research: A Historic Review of Dynamic Structure, Synthesis Mechanisms, and Characterization Techniques of an Archetypal Metal–Organic Framework
Title: A Decade of UiO-66 Research: A Historic Review of Dynamic Structure, Synthesis Mechanisms, and Characterization Techniques of an Archetypal Metal–Organic Framework
Award ID(s):
1825594
PAR ID:
10180468
Author(s) / Creator(s):
; ; ; ; ; ;
Date Published:
Journal Name:
Crystal Growth & Design
Volume:
20
Issue:
2
ISSN:
1528-7483
Page Range / eLocation ID:
1347 to 1362
Format(s):
Medium: X
Sponsoring Org:
National Science Foundation
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    In this paper we show that every set A⊂ℕ with positive density contains B+C for some pair B,C of infinite subsets of ℕ, settling a conjecture of Erd\H os. The proof features two different decompositions of an arbitrary bounded sequence into a structured component and a pseudo-random component. Our methods are quite general, allowing us to prove a version of this conjecture for countable amenable groups. 
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