Recent Comments

Recent Posts
 Amazing: Stefan Glock, Daniela Kühn, Allan Lo, and Deryk Osthus give a new proof for Keevash’s Theorem. And more news on designs.
 The US Elections and Nate Silver: Informtion Aggregation, Noise Sensitivity, HEX, and Quantum Elections.
 Avifest live streaming
 AlexFest: 60 Faces of Groups
 Postoctoral Positions with Karim and Other Announcements!
 Jirka
 AviFest, AviStories and Amazing Cash Prizes.
 Polymath 10 post 6: The ErdosRado sunflower conjecture, and the Turan (4,3) problem: homological approaches.
 Polymath 10 Emergency Post 5: The ErdosSzemeredi Sunflower Conjecture is Now Proven.
Top Posts & Pages
 Answer: Lord Kelvin, The Age of the Earth, and the Age of the Sun
 Believing that the Earth is Round When it Matters
 Stefan Steinerberger: The Ulam Sequence
 Analysis of Boolean Functions
 The US Elections and Nate Silver: Informtion Aggregation, Noise Sensitivity, HEX, and Quantum Elections.
 Emmanuel Abbe: Erdal Arıkan's Polar Codes
 Sarkaria's Proof of Tverberg's Theorem 1
 Noise Stability and Threshold Circuits
 Amazing: Peter Keevash Constructed General Steiner Systems and Designs
RSS
Tag Archives: Percolation
Two Delightful Major Simplifications
Arguably mathematics is getting harder, although some people claim that also in the old times parts of it were hard and known only to a few experts before major simplifications had changed matters. Let me report here about two recent remarkable simplifications … Continue reading
Analysis of Boolean Functions week 5 and 6
Lecture 7 First passage percolation 1) Models of percolation. We talked about percolation introduced by Broadbent and Hammersley in 1957. The basic model is a model of random subgraphs of a grid in ndimensional space. (Other graphs were considered later as … Continue reading
Posted in Combinatorics, Computer Science and Optimization, Probability, Teaching
Tagged Arrow's theorem, Percolation
Leave a comment
Noise Sensitivity and Percolation. Lecture Notes by Christophe Garban and Jeff Steif
Lectures on noise sensitivity and percolation is a new beautiful monograph by Christophe Garban and Jeff Steif. (Some related posts on this blog: 1, 2, 3, 4, 5)
Posted in Combinatorics, Probability
Tagged Christoph Garban, Jeff Steif, Noise, Noisesensitivity, Percolation
Leave a comment
A Problem on Planar Percolation
Conjecture (Gady Kozma): Prove that the critical probability for planar percolation on a Cayley graph of the group is always an algebraic number. Gady mentioned this conjecture in his talk here about percolation on infinite Cayley graphs. (Update April 30: Today Gady mentioned … Continue reading
Noise Sensitivity Lecture and Tales
A lecture about Noise sensitivity Several of my recent research projects are related to noise, and noise was also a topic of a recent somewhat philosophical post. My oldest and perhaps most respectable noiserelated project was the work with Itai Benjamini and Oded … Continue reading