Explicit two-source extractors and resilient functions

@article{Chattopadhyay2019ExplicitTE,
  title={Explicit two-source extractors and resilient
 functions},
  author={Chattopadhyay and Zuckerman},
  journal={Annals of Mathematics},
  year={2019}
}
An explicit two-source extractor with min-entropy rate near 4/9
TLDR
An improved analysis of one of Bourgain's extractors is given which shows that it in fact extracts from sources with min-entropy rate near $\frac{21}{44} =.477\ldots', and a variant of this extractor is constructed which is shown to have the advantage of exponential small error which is important in some applications.
Constructions in Ramsey theory
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Guest Column
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Randomness is a valuable resource in computation and Monte Carlo simulations of complex systems such as the stock market or weather prediction systems, and Cryptography is another area that crucially relies on access to random bits.
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The (probabilistic) construction gives rise to new examples of Ramsey graphs, which while having no very large homogenous subsets contain both cliques and independent sets of size $\log n$ in any small subset of vertices, very far from being true in random graphs.
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