Monthly Archives: January 2012

The cost of knowledge

Were you aware of campaigns aiming at influencing scientific publishers ? The cost of knowledge, proposes a personal commitment to stop interacting with Elsevier while they maintain a policy of high costs, bundling of journals, and support to measures restricting … Continue reading

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Notes of Zoltan Balogh’s lecture

1. Projection and slicing in the Heisenberg group with K. Fässler, P. Mattila, J. Tyson. We aim at studying complicated objects in metric spaces such as Euclidean space or Heisenberg group. Tomography is a possible approach : cut 2D slices … Continue reading

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Notes of Enrico Le Donne’s lecture

Sub-Riemannian geometry working seminar, organizational matters – We meet every wednesday, 5pm, at IHP, amphi Darboux (except for a few exceptional days where we move to room 05, same floor). If people prefer a different schedule, let me know. – … Continue reading

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Notes of Gil Kalai’s lecture nr 5

1. Exercises Exercise 1 Show that for the tribes function, . Show that for monotone Boolean functions, If is Boolean, there is a monotone Boolean function such that Let . Recall that is the number of neighbours of where . … Continue reading

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Notes of Gil Kalai’s lecture nr 4

1. Sharp threshold phenomena 1.1. Threshold width Suppose is a monotone Boolean function. Then is a non decreasing function of . Russo’s Lemma (appears earlier in Margulis, and even earlier in reliability theory) is Lemma 1 Definition 2 For , … Continue reading

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Notes of Gil Kalai’s lecture nr 3

Before I go on, let me come back to the discussion of optimality of KKL Theorem. It is sharp inasmuch as is large. One can be a bit more precise, even if one is merely interested in . Theorem 1 … Continue reading

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Notes of Gil Kalai’s lecture nr 2

1. Proof of the KKL Theorem Harper’s theorem deals with the sum of influences. It is a bit stronger than the direct consequences of Fourier expansion described by Mossel yesterday. The KKL Theorem is even stronger. 1.1. Fourier expression for … Continue reading

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