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Author Archives: Fabrice Baudoin
Geometric inequalities on subRiemannian 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 subRiemannian manifolds. Here is a preliminary version … Continue reading
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 lefthanded. Use the normal distribution to approximate the probability that in a class of 150 students, (a) at least 25 of them are lefthanded. (b) between 15 and 20 are lefthanded. … 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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HW6. MA3160 Fall 2017
Exercise 1. Patricia receives an average of two texts every 2 hours. If we assume that the number of texts is Poisson distributed, what is the probability that she receives five or more texts in a 9 hours period? Exercise … Continue reading
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