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  • Generation of Ultrarelativistic Monoenergetic Electron Bunches via a Synergistic Interaction of Longitudinal Electric and Magnetic Fields of a Twisted Laser
Title: Generation of Ultrarelativistic Monoenergetic Electron Bunches via a Synergistic Interaction of Longitudinal Electric and Magnetic Fields of a Twisted Laser
Award ID(s):
1903098
PAR ID:
10249831
Author(s) / Creator(s):
; ; ;
Date Published:
Journal Name:
Physical Review Letters
Volume:
126
Issue:
23
ISSN:
0031-9007
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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