Tag Archives: Dor Minzer

To cheer you up in difficult times 3: A guest post by Noam Lifshitz on the new hypercontractivity inequality of Peter Keevash, Noam Lifshitz, Eoin Long and Dor Minzer

This is a guest post kindly contributed by Noam Lifshitz. My short introduction: There is nothing like a new hypercontractivity inequality to cheer you up in difficult times and this post describes an amazing new hypercontractivity inequality.  The post describes … Continue reading

Posted in Analysis, Combinatorics, Computer Science and Optimization, Guest post, Poetry, Probability | Tagged , , , , | 3 Comments

Kelman, Kindler, Lifshitz, Minzer, and Safra: Towards the Entropy-Influence Conjecture

Let me briefly report on a remarkable new paper by Esty Kelman, Guy Kindler, Noam Lifshitz, Dor Minzer, and Muli Safra, Revisiting Bourgain-Kalai and Fourier Entropies. The paper describes substantial progress towards the Entropy-Influence conjecture, posed by Ehud Friedgut and … Continue reading

Posted in Combinatorics, Computer Science and Optimization, Open problems | Tagged , , , , | Leave a comment

Exciting Beginning-of-the-Year Activities and Seminars.

Let me mention two talks with very promising news by friends of the blog, Karim Adiprasito and Noam Lifshitz. As always, with the beginning of the academic year there are a lot of exciting activities,  things are rather hectic around,  … Continue reading

Posted in Combinatorics, Geometry, Probability | Tagged , , , , | 3 Comments

Hardness of Approximating Vertex Cover, Polytope-Integrality-Gap, the Alswede-Kachatrian theorem, and More.

Lior Silberman asked about applications of the 2-to-2 game theorem to hardness of approximation, and James Lee answered mentioning applications to vertex cover. Let me elaborate a little on vertex cover, and other matters. (Here is the pervious post on … Continue reading

Posted in Combinatorics, Computer Science and Optimization | Tagged , , , , , , , | 3 Comments

Subhash Khot, Dor Minzer and Muli Safra completed the proof of the 2-to-2 Games Conjecture

Update: A related blog post by Boaz Barak: Unique Games Conjecture – halfway there? The 2-to-2 Games Conjecture is a somewhat weaker form of Khot’s unique game conjecture. The paper is: Pseudorandom Sets in Grassmann Graph have Near-Perfect Expansion by Subhash Khot, Dor … Continue reading

Posted in Combinatorics, Computer Science and Optimization, Updates | Tagged , , | 10 Comments