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 Game Theory – online Course at IDC, Herzliya
 TYI44: “What Then, To Raise an Old Question, is Mathematics?”
 Kelman, Kindler, Lifshitz, Minzer, and Safra: Towards the EntropyInfluence Conjecture
 Or Ordentlich, Oded Regev and Barak Weiss: New bounds for Covering Density!
 To cheer you up in complicated times – A book proof by Rom Pinchasi and Alexandr Polyanskii for a 1978 Conjecture by Erdős and Purdy!
 A new PolyTCS blog!
 Remarkable New Stochastic Methods in ABF: Ronen Eldan and Renan Gross Found a New Proof for KKL and Settled a Conjecture by Talagrand
 Hoi Nguyen and Melanie Wood: Remarkable Formulas for the Probability that Projections of Lattices are Surjective
 Petra! Jordan!
Top Posts & Pages
 TYI44: "What Then, To Raise an Old Question, is Mathematics?"
 Game Theory  online Course at IDC, Herzliya
 Amazing: Zhengfeng Ji, Anand Natarajan, Thomas Vidick, John Wright, and Henry Yuen proved that MIP* = RE and thus disproved Connes 1976 Embedding Conjecture, and provided a negative answer to Tsirelson's problem.
 Or Ordentlich, Oded Regev and Barak Weiss: New bounds for Covering Density!
 Kelman, Kindler, Lifshitz, Minzer, and Safra: Towards the EntropyInfluence Conjecture
 TYI 30: Expected number of Dice throws
 Elchanan Mossel's Amazing Dice Paradox (your answers to TYI 30)
 Amazing: Hao Huang Proved the Sensitivity Conjecture!
 The seventeen camels riddle, and Noga Alon's camel proof and algorithms
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Tag Archives: Probability
Oz’ Balls Problem: The Solution
A commentator named Oz proposed the following question: You have a box with n red balls and n blue balls. You take out each time a ball at random but, if the ball was red, you put it back in the box and take out … Continue reading
Posted in Probability, Test your intuition
Tagged Erosion, J. F. C. Kingman, Probability, S. E. Volkov
1 Comment
Taking balls away: Oz’ Version
This post is based on a comment by Oz to our question about balls with two colors: “There is an interesting (and more difficult) variation I once heard but can’t recall where: You have a box with n red balls … Continue reading
Posted in Guest blogger, Probability, Test your intuition
Tagged Oz, Probability, Test your intuition
14 Comments
Answer to test your intuition (18)
You have a box with n red balls and n blue balls. You take out balls one by one at random until left only with balls of the same color. How many balls will be left (as a function of n)? … Continue reading
Posted in Probability, Test your intuition
Tagged Itai Benjamini, Probability, random permutation, Ronen Eldan, Test your intuition
3 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
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
2 Comments
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