Author Archives: Fabrice Baudoin

Special semester in Probability at Uconn

The Department of Mathematics at the University of Connecticut is designating Fall 2018 as a Special Semester in Probability. Special lectures: Srinivasa Varadhan, 9/13 Ofer Zeitouni, 9/20 Elizabeth Meckes, 9/27 Walter Schachermayer, 10/11 Rodrigo Banuelos, 10/18 David Nualart,  10/25 Kavita … Continue reading

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Geometric inequalities on sub-Riemannian manifolds

From January 15th to January 30th, I will have the great pleasure to visit the TIFR Centre For Applicable Mathematics in Bangalore, India. I will be lecturing on some aspects of geometric inequalities on sub-Riemannian manifolds.   Here is a preliminary version … Continue reading

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HW10. MA3160 Fall 2017

Exercise. Let X, Y have joint density if and 0 otherwise. (a)  Find c that makes this a joint pdf: (b) Find E (X  Y^2 ). (c) Find Var(X+Y)

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HW9. MA3160 Fall 2017

Exercise. Let X, Y have joint density if and 0 otherwise. (a)  Find c that makes this a joint pdf: (b) Find P (X < Y ).  

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HW8. MA3160 Fall 2017

Exercise 1.  About 10% of the population is left-handed. Use the normal distribution to approximate the probability that in a class of 150 students, (a) at least 25 of them are left-handed. (b) between 15 and 20 are left-handed.   … Continue reading

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HW7. MA3160 Fall 2017

Let X be a random variable with probability density function: f(x) =cx(5−x) 0≤x≤5, 0 otherwise. (a) What is the value of c? (b) What is the cumulative distribution function of X ? That is, find F (x) = P (X … Continue reading

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Lecture 8. Rough paths Fall 2017

In this lecture, it is now time to harvest the fruits of the two previous lectures. This will allow us to finally define the notion of -rough path and to construct the signature of such path. A first result which … Continue reading

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