Asymptotics of q-Plancherel measures

Details Asymptotics of q-Plancherel measures Asymptotics of q-Plancherel measures

2010-01-13

arxiv.org/abs/1001.2180v2

Mathematics

Representation Theory

27 pages, 5 figures. Version 2: a lot of corrections suggested by anonymous referees have been made. To appear in PTRF

Scientific paper

In this paper, we are interested in the asymptotic size of rows and columns of a random Young diagram under a natural deformation of the Plancherel measure coming from Hecke algebras. The first lines of such diagrams are typically of order $n$, so it does not fit in the context studied by P. Biane and P. \'Sniady. Using the theory of polynomial functions on Young diagrams of Kerov and Olshanski, we are able to compute explicitly the first- and second-order asymptotics of the length of the first rows. Our method works also for other measures, for instance those coming from Schur-Weyl representations.

Affiliated with

Also associated with

No associations

Rating

Asymptotics of q-Plancherel measures does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Asymptotics of q-Plancherel measures, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Asymptotics of q-Plancherel measures will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-525427