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- Some News from a Seminar in Cambridge
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- Greg Kuperberg @ Tel Aviv University
- Quantum Computers: A Brief Assessment of Progress in the Past Decade
- To cheer you up in difficult times 7: Bloom and Sisask just broke the logarithm barrier for Roth's theorem!
- 'Gina Says'
- R(5,5) ≤ 48
- Answer: Lord Kelvin, The Age of the Earth, and the Age of the Sun
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Category Archives: Analysis
Bo’az Klartag and Joseph Lehec: The Slice Conjecture Up to Polylogarithmic Factor!
Bo’az Klartag (right) and Joseph Lehec (left) In December 2020, we reported on Yuansi Chen breakthrough result on Bourgain’s alicing problem and the Kannan Lovasz Simonovits conjecture. It is a pleasure to report on a further fantastic progress on these … Continue reading
Posted in Analysis, Computer Science and Optimization, Convexity, Geometry, Probability
Tagged Bo'az Klartag, Joseph Lehec
3 Comments
ICM 2018 Rio (5) Assaf Naor, Geordie Williamson and Christian Lubich
This is my fifth and last report from ICM 2018 at Rio. I will talk a little about the three Wednesday plenary talks by Assaf Naor, Geordie Williamson, and Christian Lubich. See here for other posts about ICM2018. (For the … Continue reading
Posted in Algebra, Analysis, Geometry, ICM2018
Tagged Alef's corner, Assaf Naor, Christian Lubich, Geordie Williamson
3 Comments
To cheer you up in difficult times 23: the original hand-written slides of Terry Tao’s 2015 Einstein Lecture in Jerusalem
In 2015 Terry Tao gave the Einstein lecture of the Israeli Academy for Science and Humanities. We got hold of the original signed hand-written slides of Terry’s lecture and we are happy to share them with you. The title of … Continue reading
Posted in Analysis, Applied mathematics, Computer Science and Optimization, Physics, What is Mathematics
Tagged Terence Tao
1 Comment
To Cheer you up in Difficult Times 8: Nathan Keller and Ohad Klein Proved Tomaszewski’s Conjecture on Randomly Signed Sums
Today we talk about the paper, Proof of Tomaszewski’s Conjecture on Randomly Signed Sums, by Nathan Keller and Ohad Klein. Consider a unit vector That is . Consider all () signed sums where each is either 1 or -1. Theorem … Continue reading
Posted in Analysis, Combinatorics, Probability
Tagged Boguslav Tomaszewski, Nathan Keller, Ohad Klein
12 Comments
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
Remarkable New Stochastic Methods in ABF: Ronen Eldan and Renan Gross Found a New Proof for KKL and Settled a Conjecture by Talagrand
The main conjecture from Talagrand’s paper on boundaries and influences was settled by Ronen Eldan and Renan Gross. Their paper introduces a new powerful method to the field of analysis of Boolean functions (ABF). This post is devoted to … Continue reading
Posted in Analysis, Combinatorics, Probability
Tagged Michel Talagrand, Renan Gross, Ronen Eldan
7 Comments
Amazing: Zhengfeng Ji, Anand Natarajan, Thomas Vidick, John Wright, and Henry Yuen proved that MIP* = RE and thus disproved Connes 1976 Embedding Conjecture, and provided a negative answer to Tsirelson’s problem.
A few days ago an historic 160-page paper with a very short title MIP*=RE was uploaded to the arXive by Zhengfeng Ji, Anand Natarajan, Thomas Vidick, John Wright, and Henry Yuen. I am thankful to Dorit Aharonov and Alon Rosen … Continue reading
Posted in Algebra, Analysis, Combinatorics, Computer Science and Optimization, Physics, Quantum
Tagged Anand Natarajan, Henry Yuen, John Wright, Thomas Vidick, Zhengfeng Ji
14 Comments
Abel in Jerusalem – SUNDAY, January 12, 2020, and other events
Update: Boris Solomyak’s birthday conference (January 13-14, Bar-Ilan University)is now added. I would like to report on seven eight nine ten mathematical events taking place in Jerusalem, the Tel Aviv area, and Haifa in the next few weeks. (Probably I … Continue reading
Paul Balister, Béla Bollobás, Robert Morris, Julian Sahasrabudhe, and Marius Tiba: Flat polynomials exist!
Béla Bollobás and Paul Erdős at the University of Cambridge in 1990. Credit George Csicsery (from the 1993 film “N is a Number”) (source) (I thank Gady Kozma for telling me about the result.) An old problem from analysis with a … Continue reading
Posted in Analysis, Combinatorics
Tagged Béla Bollobás, Flat polynomials, Julian Sahasrabudhe, Marius Tiba, Paul Balister, Robert Morris
1 Comment