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 Recent progress on high dimensional TuranType problems by Andrey Kupavskii, Alexandr Polyanskii, István Tomon, and Dmitriy Zakharov and by Jason Long, Bhargav Narayanan, and Corrine Yap.
 Open problem session of HUJICOMBSEM: Problem #1, Nati Linial – Turan type theorems for simplicial complexes.
 Péter Pál Pach and Richárd Palincza: a Glimpse Beyond the Horizon
 To cheer you up 14: Hong Liu and Richard Montgomery solved the Erdős and Hajnal’s odd cycle problem
 To cheer you up in difficult times 13: Triangulating real projective spaces with subexponentially many vertices
 Benjamini and Mossel’s 2000 Account: Sensitivity of Voting Schemes to Mistakes and Manipulations
 Test Your Intuition (46): What is the Reason for Maine’s Huge Influence?
 This question from Tim Gowers will certainly cheeer you up! and test your intuition as well!
 Three games to cheer you up.
Top Posts & Pages
 TYI 30: Expected number of Dice throws
 Péter Pál Pach and Richárd Palincza: a Glimpse Beyond the Horizon
 To cheer you up in difficult times 5: A New Elementary Proof of the Prime Number Theorem by Florian K. Richter
 Recent progress on high dimensional TuranType problems by Andrey Kupavskii, Alexandr Polyanskii, István Tomon, and Dmitriy Zakharov and by Jason Long, Bhargav Narayanan, and Corrine Yap.
 This question from Tim Gowers will certainly cheeer you up! and test your intuition as well!
 Quantum computers: amazing progress (Google & IBM), and extraordinary but probably false supremacy claims (Google).
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 Answer: Lord Kelvin, The Age of the Earth, and the Age of the Sun
 Gil's Collegial Quantum Supremacy Skepticism FAQ
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Category Archives: Guest blogger
Noam Lifshitz: A new hypercontractivity inequality — The proof!
This is a guest post kindly contributed by Noam Lifshitz. Here is a pdf version. This post is a continuation of the post To cheer you up in difficult times 3: A guest post by Noam Lifshitz on the new … 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
2 Comments
Karim Adiprasito: The gConjecture for Vertex Decomposible Spheres
J Scott Provan (site) The following post was kindly contributed by Karim Adiprasito. (Here is the link to Karim’s paper.) Update: See Karim’s comment on the needed ideas for extend the proof to the general case. See also in the … Continue reading
Posted in Combinatorics, Convex polytopes, Geometry, Guest blogger
Tagged gconjecture, J Scott Provan, Karim Adiprasito, Leonid Gurvits, Lou Billera
9 Comments
Ladies and Gentlemen, Stan Wagon: TYI 32 – A Cake Problem.
The following post was kindly contributed by Stan Wagon. Stan (Wikipedea) is famous for his books, papers, snowsculptures, and squarewheels bicycles (see picture below) ! A round cake has icing on the top but not the bottom. Cut out a … Continue reading
Posted in Combinatorics, Guest blogger, Test your intuition
Tagged Guest blogger, Stan Wagon, Test your intuition
8 Comments
Eran Nevo: gconjecture part 4, Generalizations and Special Cases
This is the fourth in a series of posts by Eran Nevo on the gconjecture. Eran’s first post was devoted to the combinatorics of the gconjecture and was followed by a further post by me on the origin of the gconjecture. Eran’s second post was about … Continue reading
Posted in Combinatorics, Convex polytopes, Guest blogger, Open problems
Tagged Eran Nevo, gconjecture
2 Comments
Thilo Weinert: Transfinite Ramsey Numbers
This is first of three posts kindly written by Thilo Weinert Recently Gil asked me whether I would like to contribute to his blog and I am happy to do so. I enjoy both finite and infinite combinatorics and it … Continue reading
Stefan Steinerberger: The Ulam Sequence
This post is authored by Stefan Steinerberger. The Ulam sequence is defined by starting with 1,2 and then repeatedly adding the smallest integer that is (1) larger than the last element and (2) can be written as the sum of two … Continue reading
Ehud Friedgut: Blissful ignorance and the KahnemanTversky paradox
Tversky, Kahneman, and Gili BarHillel (WikiPedia). Taken by Maya BarHillel at Stanford, summer 1979. The following post was kindly contributed by Ehud Friedgut. During the past week I’ve been reading, and greatly enjoying Daniel Kahneman’s brilliant book “Thinking fast … Continue reading
Taking balls away: Oz’ Version
This post is based on a comment by Oz to our question about balls with two colors: “There is an interesting (and more difficult) variation I once heard but can’t recall where: You have a box with n red balls … Continue reading
Posted in Guest blogger, Probability, Test your intuition
Tagged Oz, Probability, Test your intuition
14 Comments