The Answer to TYI (57): In Dimension Three or More, Intuitive Norms are Euclidean

A central problem in combinatorics, probability theory, and analysis is to understand the spectrum of  random d-regular graphs G with vertices. The following paper marks a huge leap in our understanding of this problem.  Ramanujan Property and Edge Universality of … Continue reading →

Consider equipped with a norm. Given a finite set of points and a point , we consider , the sum of distances from to the points in . Next we consider the set of points that attain the minimum of … Continue reading →

A wish It is time for the horrible war to end Polymath thoughts: Reviving Polymath3? A question for our readers: Should we revive polymath3? Polymath3 dealt with the following problem: Is there a polynomial  such that the graph of every … Continue reading →

Next week in Weizmann Institute there will be a Winter school in expansion in groups combinatorics and complexity. (The link includes abstracts for the lectures.) Dates: January 5-8, 2025Venue: The beautiful Lopatie conference center, Weizmann Institute of Science, Israel.Registration: Registration … Continue reading →

Good news: the slice conjecture is now completely settled with combined effort of two separate papers. Qingyang Guan,  A note on Bourgain’s slicing problem Abstract: This note is to study Bourgain’s slicing problem following the routes investigated in the last … Continue reading →