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Recent Posts
 To cheer you up in difficult times 5: A New Elementary Proof of the Prime Number Theorem by Florian K. Richter
 To cheer you up in difficult times 4: Women In Theory present — I will survive
 To cheer you up in difficult times 3: A guest post by Noam Lifshitz on the new hypercontractivity inequality of Peter Keevash, Noam Lifshitz, Eoin Long and Dor Minzer
 Harsanyi’s Sweater
 To cheer you up in difficult times II: Mysterious matching news by Gal Beniamini, Naom Nisan, Vijay Vazirani and Thorben Tröbst!
 Trees not Cubes! Memories of Boris Tsirelson
 A small update from Israel and memories from Singapore: Partha Dasgupta, Robin Mason, Frank Ramsey, and 007
 Game Theory – online Course at IDC, Herzliya
 TYI44: “What Then, To Raise an Old Question, is Mathematics?”
Top Posts & Pages
 To cheer you up in difficult times 5: A New Elementary Proof of the Prime Number Theorem by Florian K. Richter
 To cheer you up in difficult times 4: Women In Theory present  I will survive
 TYI 30: Expected number of Dice throws
 To cheer you up in difficult times II: Mysterious matching news by Gal Beniamini, Naom Nisan, Vijay Vazirani and Thorben Tröbst!
 Game Theory 2020
 Extremal Combinatorics VI: The FranklWilson Theorem
 Or Ordentlich, Oded Regev and Barak Weiss: New bounds for Covering Density!
 Elchanan Mossel's Amazing Dice Paradox (your answers to TYI 30)
 The AC0 Prime Number Conjecture
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Monthly Archives: September 2008
Extremal Combinatorics III: Some Basic Theorems
. Shattering Let us return to extremal problems for families of sets and describe several basic theorems and basic open problems. In the next part we will discuss a nice proof technique called “shifting” or “compression.” The SauerShelah (Perles VapnikChervonenkis) Lemma: (Here we write .) … Continue reading
New Haven (mainly pictures)
] Yale, New Haven I am back in New Haven which have become my home away from home in the last five years. Cappuccino’S and more – Cedar cross Congress, New Haven. Not only that this name is similar … Continue reading
Posted in Uncategorized
Tagged New Haven, Three dimensional electron microscopy, Yale, Yoel Shkolinsky
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Annotating Kimmo Eriksson’s Poem
“Start counting her NUMBER OF FACES,” Kimmo Eriksson, Brush up your Björner (2008). The time is right to annotate Kimmo Eriksson’s memorable poem: 1. What are Chip firing games? Many women will find it admirable if you tell her she … Continue reading
A Diameter Problem (5)
6. First subexponential bounds. Proposition 1: How to prove it: This is easy to prove: Given two sets and in our family , we first find a path of the form where, and . We let with and consider the family … Continue reading
Diameter Problem (4)
Let us consider another strategy to deal with our diameter problem. Let us try to associate other graphs to our family of sets. Recall that we consider a family of subsets of size of the set . Let us now associate … Continue reading
Diameter Problem (3)
3. What we will do in this post and and in future posts We will now try all sorts of ideas to give good upper bounds for the abstract diameter problem that we described. As we explained, such bounds apply … Continue reading
Posted in Combinatorics, Convex polytopes, Open problems
Tagged Hirsch conjecture, Linear programming, Quasiautomated proofs
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Oded
I just heard the terrible news that Oded Schramm was killed in a hiking accident. Oded was hiking on Guye Peak near Snoqualmie Pass near Seattle. This is a terrible loss to Oded’s family, and our hearts and thoughts are … Continue reading
The Prisoner’s Dilemma, Sympathy, and Yaari’s Challenge
Correlation and Cooperation In our spring school devoted to Arrow’s economics, Menahem Yaari gave a talk entitled “correlation and cooperation.” It was about games as a model of people’s behavior, and Yaari made the following points: It is an empirical fact … Continue reading
Posted in Economics, Games, Philosophy, Rationality
Tagged Cooperation, Correlation, Prisoner dilemma
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