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Tag Archives: Jeff Kahn
Amazing! Keith Frankston, Jeff Kahn, Bhargav Narayanan, Jinyoung Park: Thresholds versus fractional expectation-thresholds
This post describes a totally unexpected breakthrough about expectation and thresholds. The result by Frankston, Kahn, Narayanan, and Park has many startling applications and it builds on the recent breakthrough work of Alweiss, Lovett, Wu and Zhang on the sunflower … Continue reading
Posted in Combinatorics, Probability
Tagged Bhargav Narayanan, Jeff Kahn, Jinyoung Park, Keith Frankston
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Jeff Kahn and Jinyoung Park: Maximal independent sets and a new isoperimetric inequality for the Hamming cube.
Three isoperimetric papers by Michel Talagrand (see the end of the post) Discrete isoperimetric relations are of great interest on their own and today I want to tell you about a new isoperimetric inequality by Jeff Kahn and Jinyoung Park … Continue reading
Extremal Combinatorics V: POSETS
This is the remaining post V on partially ordered sets of my series on extremal combinatorics (I,II,III,IV,VI). We will talk here about POSETS – partially ordered sets. The study of order is very important in many areas of mathematics starting … Continue reading
Influence, Threshold, and Noise
My dear friend Itai Benjamini told me that he won’t be able to make it to my Tuesday talk on influence, threshold, and noise, and asked if I already have the slides. So it occurred to me that perhaps … Continue reading
Around Borsuk’s Conjecture 1: Some Problems
Greetings to all! Karol Borsuk conjectured in 1933 that every bounded set in can be covered by sets of smaller diameter. In a previous post I described the counterexample found by Jeff Kahn and me. I will devote a few posts … Continue reading
Nati’s Influence
When do we say that one event causes another? Causality is a topic of great interest in statistics, physics, philosophy, law, economics, and many other places. Now, if causality is not complicated enough, we can ask what is the influence one event has … Continue reading
