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 A Nice Example Related to the Frankl Conjecture
 Amazing: Justin Gilmer gave a constant lower bound for the unionclosed sets conjecture
 Barnabás Janzer: Rotation inside convex Kakeya sets
 Inaugural address at the Hungarian Academy of Science: The Quantum Computer – A Miracle or Mirage
 Remarkable: “Limitations of Linear CrossEntropy as a Measure for Quantum Advantage,” by Xun Gao, Marcin Kalinowski, ChiNing Chou, Mikhail D. Lukin, Boaz Barak, and Soonwon Choi
 James Davies: Every finite colouring of the plane contains a monochromatic pair of points at an odd distance from each other.
 Bo’az Klartag and Joseph Lehec: The Slice Conjecture Up to Polylogarithmic Factor!
 Alef’s Corner: “It won’t work, sorry”
 Test Your intuition 51
Top Posts & Pages
 Amazing: Justin Gilmer gave a constant lower bound for the unionclosed sets conjecture
 A Nice Example Related to the Frankl Conjecture
 The Möbius Undershirt
 R(5,5) ≤ 48
 Amazing: Jinyoung Park and Huy Tuan Pham settled the expectation threshold conjecture!
 Remarkable: "Limitations of Linear CrossEntropy as a Measure for Quantum Advantage," by Xun Gao, Marcin Kalinowski, ChiNing Chou, Mikhail D. Lukin, Boaz Barak, and Soonwon Choi
 Gödel, Hilbert and Brouwer
 Why are Planar Graphs so Exceptional
 To cheer you up in difficult times 11: Immortal Songs by Sabine Hossenfelder and by Tom Lehrer
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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