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Monthly Archives: February 2020
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
Hoi Nguyen and Melanie Wood: Remarkable Formulas for the Probability that Projections of Lattices are Surjective
Following a lecture by Hoi Nguyen at Oberwolfach, I would like to tell you a little about the paper: Random integral matrices: universality of surjectivity and the cokernel by Hoi Nguyen and Melanie Wood. Two background questions: Hoi started with … Continue reading
Posted in Algebra, Combinatorics, Number theory, Probability
Tagged Hoi Nguyen, Melanie Wood
6 Comments
Petra! Jordan!
Last week we had a lovely small workshop in Eilat organized by Nathan Rubin, and as possible since the peace agreement of 1994 between Israel and Jordan, we visited Jordan for one day and saw the spectacular ancient city of … Continue reading
The largest clique in the Paley Graph: unexpected significant progress and surprising connections.
The result on Paley Graphs by Hanson and Petridis On May 2019, Brandon Hanson and Giorgis Petridis posed a paper on the arXive: Refined Estimates Concerning Sumsets Contained in the Roots of Unity. The abstract was almost as short as … Continue reading
Posted in Combinatorics, Number theory
Tagged Brandon Hanson, Daniel Di Benedetto, Ethan White, Giorgis Petridis, Jozsef Solymosi, Paley graph
3 Comments
Thinking about the people of Wuhan and China
My thoughts are with the people of China who are at the forefront of the struggle with the coronavirus outbreak.
