Category Archives: Analysis

Remarkable New Stochastic Methods in ABF: Ronen Eldan and Renan Gross Found a New Proof for KKL and Settled a Conjecture by Talagrand

Posted on February 28, 2020 by

  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 , , | 5 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.

Posted on January 17, 2020 by

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 , , , , | 13 Comments

Abel in Jerusalem – SUNDAY, January 12, 2020, and other events

Posted on December 18, 2019 by

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 →

Posted in Algebra, Analysis, Combinatorics, Computer Science and Optimization, Conferences, Geometry, Updates | Tagged , , , | 1 Comment

Paul Balister, Béla Bollobás, Robert Morris, Julian Sahasrabudhe, and Marius Tiba: Flat polynomials exist!

Posted on September 9, 2019 by

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 , , , , , | 1 Comment

Jean

Posted on January 2, 2019 by

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 | 5 Comments

Three Conferences: Joel Spencer, April 29-30, Courant; Joel Hass May 20-22, Berkeley, Jean Bourgain May 21-24, IAS, Princeton

Posted on April 20, 2016 by

Dear all, I would like to advertise three  promising-to-be wonderful mathematical conferences in the very near future. Quick TYI. See if you can guess the title and speaker for  a lecture described by  “where the mathematics of Cauchy, Fourier, Sobolev, … Continue reading →

Posted in Analysis, Combinatorics, Conferences, Geometry, Updates | Tagged , , | Leave a comment

Navier-Stokes Fluid Computers

Posted on February 7, 2014 by

Smart fluid Terry Tao posted a very intriguing post on the Navier-Stokes equation, based on a recently uploaded paper Finite time blowup for an averaged three-dimensional Navier-Stokes equation. The paper proved a remarkable negative answer for the regularity conjecture for a certain … Continue reading →

Posted in Analysis, Applied mathematics, Computer Science and Optimization, Open problems | Tagged , , , , , | 11 Comments

Real Analysis Introductory Mini-courses at Simons Institute

Posted on September 30, 2013 by

The Real Analysis ‘Boot Camp’ included three excellent mini-courses. Inapproximability of Constraint Satisfaction Problems (5 lectures) Johan Håstad (KTH Royal Institute of Technology) (Lecture I, Lecture II, Lecture III, Lecture IV, Lecture V) Unlike more traditional ‘boot camps’ Johan rewarded answers and questions … Continue reading →

Posted in Analysis, Computer Science and Optimization, Conferences | Tagged , , | Leave a comment

The Kadison-Singer Conjecture has beed Proved by Adam Marcus, Dan Spielman, and Nikhil Srivastava

Posted on June 19, 2013 by

…while we keep discussing why mathematics is possible… The news Adam Marcus, Dan Spielman, and Nikhil Srivastava posted a paper entitled “Interlacing Families II: Mixed Characteristic Polynomials and the Kadison-Singer Problem,” where they prove the 1959 Kadison-Singer conjecture. (We discussed part … Continue reading →

Posted in Analysis, Computer Science and Optimization, Physics, Updates | Tagged , , , , , | 50 Comments

A Really Nice Talk About PDE, Numerics (and Pyramids)

Posted on April 30, 2012 by

My previous post recommended a really nice talk by Jonathan Israel about human rights. Here is the link again. It is very recommended. Actually, I was in the audience and after the lecture, at the reception,  I came to the … Continue reading →

Posted in Analysis, Applied mathematics | 1 Comment