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Recent Posts
- Richard Stanley: Enumerative and Algebraic Combinatorics in the1960’s and 1970’s
- Igor Pak: How I chose Enumerative Combinatorics
- Quantum Computers: A Brief Assessment of Progress in the Past Decade
- Noga Alon and Udi Hrushovski won the 2022 Shaw Prize
- Oliver Janzer and Benny Sudakov Settled the Erdős-Sauer Problem
- Past and Future Events
- Joshua Hinman proved Bárány’s conjecture on face numbers of polytopes, and Lei Xue proved a lower bound conjecture by Grünbaum.
- Amazing: Jinyoung Park and Huy Tuan Pham settled the expectation threshold conjecture!
- Combinatorial Convexity: A Wonderful New Book by Imre Bárány
Top Posts & Pages
- Quantum Computers: A Brief Assessment of Progress in the Past Decade
- Igor Pak: How I chose Enumerative Combinatorics
- Oliver Janzer and Benny Sudakov Settled the Erdős-Sauer Problem
- Richard Stanley: Enumerative and Algebraic Combinatorics in the1960’s and 1970’s
- Richard Stanley: How the Proof of the Upper Bound Theorem (for spheres) was Found
- The Argument Against Quantum Computers - A Very Short Introduction
- A sensation in the morning news - Yaroslav Shitov: Counterexamples to Hedetniemi's conjecture.
- Amazing: Jinyoung Park and Huy Tuan Pham settled the expectation threshold conjecture!
- To cheer you up in difficult times 13: Triangulating real projective spaces with subexponentially many vertices
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Category Archives: Analysis
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 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
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
11 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
6 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
13 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
Jean
Jean Bourgain and Joram Lindenstrauss. I was very sad to hear that Jean Bourgain, among the greatest mathematicians of our time, and a dear friend, passed away. I first met Jean about forty years ago and later we became friends … Continue reading
Posted in Analysis, Combinatorics, Computer Science and Optimization, Convexity, Number theory, Obituary
Tagged Jean Bourgain
5 Comments