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- Some News from a Seminar in Cambridge
- Absolutely Sensational Morning News - Zander Kelley and Raghu Meka proved Behrend-type bounds for 3APs
- Greg Kuperberg @ Tel Aviv University
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- To cheer you up in difficult times 7: Bloom and Sisask just broke the logarithm barrier for Roth's theorem!
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Monthly Archives: July 2019
TYI 39 : Can a coalition of children guarantees all being in the same class?
There is a class of children that have just finished elementary school. Now they all move from elementary school to high school and classes are reshuffled. Each child lists three friends, and the assignment of children into classes ensures that … Continue reading
Posted in Combinatorics, Economics, Mathematics to the rescue, Test your intuition
Tagged Test your intuition
3 Comments
Matan Harel, Frank Mousset, and Wojciech Samotij and the “the infamous upper tail” problem
Let me report today on a major breakthrough in random graph theory and probabilistic combinatorics. Congratulations to Matan, Frank, and Vojtek! Artist: Heidi Buck. “Catch a Dragon by the Tail 2” ( source ) Upper tails via high moments and entropic … Continue reading
Isabella Novik and Hailun Zheng: Neighborly centrally symmetric spheres exist in all dimensions!
A tweet-long summary: The cyclic polytope is wonderful and whenever we construct an analogous object we are happy. Examples: Neighborly cubic polytopes; The amplituhedron; and as of last week, the Novik-Zheng new construction of neighborly centrally symmetric spheres! At last: … Continue reading
Dan Romik on the Riemann zeta function
This post, about the Riemann zeta function, which is among the most important and mysterious mathematical objects was kindly written by Dan Romik. It is related to his paper Orthogonal polynomial expansions for the Riemann xi function, that we mentioned … Continue reading
Posted in Combinatorics, Guest blogger, Number theory
Tagged Dan Romik, George Polya, Paul Turan, Riemann Hypothesis, Riemann zeta function
4 Comments
Itai Benjamini and Jeremie Brieussel: Noise Sensitivity Meets Group Theory
The final version of my ICM 2018 paper Three puzzles on mathematics computation and games has been available for some time. (This proceedings’ version, unlike the arXived version has a full list of references.) In this post I would like to … Continue reading
Posted in Algebra, Combinatorics, Probability
Tagged Itai Benjamini, Jeremie Brieussel, Noise-sensitivity
1 Comment
Amazing: Hao Huang Proved the Sensitivity Conjecture!
Today’s arXived amazing paper by Hao Huang Induced subgraphs of hypercubes and a proof of the Sensitivity Conjecture Contains an amazingly short and beautiful proof of a famous open problem from the theory of computing – the sensitivity conjecture posed … Continue reading
Posted in Combinatorics, Computer Science and Optimization
Tagged Hao Huang, sensitivity conjecture
26 Comments