Oxidation of a Molecule by the Biexcitonic State of a CdS Quantum Dot
- Award ID(s):
- 1664184
- PAR ID:
- 10089033
- Date Published:
- Journal Name:
- The Journal of Physical Chemistry C
- Volume:
- 123
- Issue:
- 10
- ISSN:
- 1932-7447
- Page Range / eLocation ID:
- 5923 to 5930
- 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.more » « less
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