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 Test your intuition 28: What is the most striking common feature to all these remarkable individuals
 R(5,5) ≤ 48
 Test Your Intuition (27) about the AlonTarsi Conjecture
 Thilo Weinert: Transfinite Ramsey Numbers
 Timothy Chow Launched Polymath12 on Rota Basis Conjecture and Other News
 Proof By Lice!
 The seventeen camels riddle, and Noga Alon’s camel proof and algorithms
 Edmund Landau and the Early Days of the Hebrew University of Jerusalem
 Boolean Functions: Influence, Threshold, and Noise
Top Posts & Pages
 R(5,5) ≤ 48
 Test your intuition 28: What is the most striking common feature to all these remarkable individuals
 Answer: Lord Kelvin, The Age of the Earth, and the Age of the Sun
 Choongbum Lee proved the BurrErdős conjecture
 Extremal Combinatorics IV: Shifting
 Test Your Intuition (27) about the AlonTarsi Conjecture
 Believing that the Earth is Round When it Matters
 The seventeen camels riddle, and Noga Alon's camel proof and algorithms
 News (mainly polymath related)
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Category Archives: Probability
Is Backgammon in P?
The Complexity of ZeroSum Stochastic Games with Perfect Information Is there a polynomial time algorithm for chess? Well, if we consider the complexity of chess in terms of the board size then it is fair to think that the answer is … Continue reading
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