Asymptotics for the Length of the Longest Common Subsequences

Series
Combinatorics Seminar
Time
Friday, April 1, 2016 - 3:00pm for 1 hour (actually 50 minutes)
Location
Skiles 005
Speaker
Christian Houdré – Georgia Tech
Organizer
Esther Ezra
Both for random words or random permutations, I will present a panoramic view of results on the (asymptotic) behavior of the length of the longest common subsequences . Starting with, now, classical results on expectations dating back to the nineteen-seventies I will move to recent results obtained by Ümit Islak and myself giving the asymptotic laws of this length and as such answering a decades-old well know question.