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 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.
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 Polymath 10 post 6: The ErdosRado sunflower conjecture, and the Turan (4,3) problem: homological approaches.
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 Answer: Lord Kelvin, The Age of the Earth, and the Age of the Sun
 Stefan Steinerberger: The Ulam Sequence
 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.
 Emmanuel Abbe: Erdal Arıkan's Polar Codes
 A Breakthrough by Maryna Viazovska Leading to the Long Awaited Solutions for the Densest Packing Problem in Dimensions 8 and 24
 Extremal Combinatorics III: Some Basic Theorems
 יופיה של המתמטיקה
 Can Category Theory Serve as the Foundation of Mathematics?
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Category Archives: Probability
Emmanuel Abbe: Erdal Arıkan’s Polar Codes
Click here for the most recent polymath3 research thread. A new thread is comming soon. Emmanuel Abbe and Erdal Arıkan This post is authored by Emmanuel Abbe A new class of codes, called polar codes, recently made a breakthrough in … Continue reading
Benoît’s Fractals
Mandelbrot set Benoît Mandelbrot passed away a few dayes ago on October 14, 2010. Since 1987, Mandelbrot was a member of the Yale’s mathematics department. This chapterette from my book “Gina says: Adventures in the Blogosphere String War” about fractals is brought here on this … Continue reading
Posted in Geometry, Obituary, Physics, Probability
6 Comments
Midrasha Talks are Now Online
Itai Benjamini listening to Gadi Kozma There are 41 lectures from the Midrasha on Probability and Geometry: The Mathematics of Oded Schramm which are now online. Joram Lindenstrauss’s concluding lecture (click on the picture to see) Laci Lovasz More pictures … Continue reading
Posted in Combinatorics, Conferences, Probability
Tagged Geometry, Oded Schramm, Probability
4 Comments
Test Your Intuition (11): Is it Rational to Insure a Toaster
Here is a question from last year’s exam in the course “Basic Ideas of Mathematics”: You buy a toaster for 200 NIS ($50) and you are offered one year of insurance for 24 NIS ($6). a) Is it … Continue reading
Posted in Probability, Rationality, Teaching, Test your intuition
Tagged Insurance, Test your intuition
18 Comments
Itamar Pitowsky: Probability in Physics, Where does it Come From?
I came across a videotaped lecture by Itamar Pitowsky given at PITP some years ago on the question of probability in physics that we discussed in two earlier posts on randomness in nature (I, II). There are links below to … Continue reading
Posted in Obituary, Philosophy, Physics, Probability
Tagged Itamar Pitowsky, Philosophy of science, Physics, Probability
1 Comment
Noise Stability and Threshold Circuits
The purpose of this post is to describe an old conjecture (or guesses, see this post) by Itai Benjamini, Oded Schramm and myself (taken from this paper) on noise stability of threshold functions. I will start by formulating the conjectures and … Continue reading
Randomness in Nature II
In a previous post we presented a MO question by Liza about randomness: What is the explanation of the apparent randomness of highlevel phenomena in nature? 1. Is it accepted that these phenomena are not really random, meaning that given enough … Continue reading
Posted in Philosophy, Physics, Probability
Tagged foundation of probability, Philosophy, Physics, Randomness
16 Comments
Randomness in Nature
Here is an excellent question asked by Liza on “Mathoverflow“. What is the explanation of the apparent randomness of highlevel phenomena in nature? For example the distribution of females vs. males in a population (I am referring to randomness in terms … Continue reading
Posted in Probability
Tagged foundation of probability, Math Overflow, Philosophy, Physics, Randomness
22 Comments
Midrasha News
Our Midrasha is going very very well. There are many great talks, mostly very clear and helpful. Various different directions which interlace very nicely. Some moving new mathematical breakthroughs; very few fresh from the oven. Tomorrow is the last day. Update: I will try … Continue reading
Four Derandomization Problems
Polymath4 is devoted to a question about derandomization: To find a deterministic polynomial time algorithm for finding a kdigit prime. So I (belatedly) devote this post to derandomization and, in particular, the following four problems. 1) Find a deterministic algorithm for primality 2) Find … Continue reading
Posted in Computer Science and Optimization, Probability
Tagged derandomization, polymath4, Randomness
7 Comments