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 To cheer you up in difficult times 12: Asaf Ferber and David Conlon found new lower bounds for diagonal Ramsey numbers
 Alef Corner: Math Collaboration
 Alef’s Corner: Math Collaboration 2
 To cheer you up in difficult times 11: Immortal Songs by Sabine Hossenfelder and by Tom Lehrer
 To cheer you up in difficult times 10: Noam Elkies’ Piano Improvisations and more
 Quantum Matters
 To cheer you up in difficult times 9: Alexey Pokrovskiy proved that Rota’s Basis Conjecture holds asymptotically
 To Cheer you up in Difficult Times 8: Nathan Keller and Ohad Klein Proved Tomaszewski’s Conjecture on Randomly Signed Sums
 Noam Lifshitz: A new hypercontractivity inequality — The proof!
Top Posts & Pages
 To cheer you up in difficult times 12: Asaf Ferber and David Conlon found new lower bounds for diagonal Ramsey numbers
 TYI 30: Expected number of Dice throws
 Answer: Lord Kelvin, The Age of the Earth, and the Age of the Sun
 TYI44: "What Then, To Raise an Old Question, is Mathematics?"
 Quantum Matters
 Game Theory 2020
 Are Natural Mathematical Problems Bad Problems?
 A sensation in the morning news  Yaroslav Shitov: Counterexamples to Hedetniemi's conjecture.
 To Cheer you up in Difficult Times 8: Nathan Keller and Ohad Klein Proved Tomaszewski's Conjecture on Randomly Signed Sums
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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 tweetlong 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 NovikZheng 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
1 Comment
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, Noisesensitivity
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
24 Comments