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Lectures Year : 2018

Random Uniform Permutations


This course is at the interplay between Probability and Combinatorics. It is intended for Master students with a background in Probability (random variables, expectation, conditional probability). The question we will adress is ”What can we say about a typical large permutation?”: the number of cycles, their lengths, the number of fixed points,... This is also a pretext to present some universal phenomena in Probability: reinforcement, the Poisson paradigm, size-bias,...
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hal-03482893 , version 1 (16-12-2021)


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  • HAL Id : hal-03482893 , version 1


Lucas Gerin. Random Uniform Permutations. Master. Unknown Region. 2018. ⟨hal-03482893⟩
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