Giambelli compatible point processes

Details Giambelli compatible point processes Giambelli compatible point processes

2005-05-07

arxiv.org/abs/math-ph/0505021v2

Adv. in Appl. Math. 37 (2006), no. 2, 209--248

Physics

Mathematical Physics

Version 2: proof of Theorem 3.1 corrected; typos fixed; to appear in Advances Appl. Math

Scientific paper

We distinguish a class of random point processes which we call Giambelli compatible point processes. Our definition was partly inspired by determinantal identities for averages of products and ratios of characteristic polynomials for random matrices found earlier by Fyodorov and Strahov. It is closely related to the classical Giambelli formula for Schur symmetric functions. We show that orthogonal polynomial ensembles, z-measures on partitions, and spectral measures of characters of generalized regular representations of the infinite symmetric group generate Giambelli compatible point processes. In particular, we prove determinantal identities for averages of analogs of characteristic polynomials for partitions. Our approach provides a direct derivation of determinantal formulas for correlation functions.

Affiliated with

Also associated with

No associations

Rating

Giambelli compatible point processes 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 Giambelli compatible point processes, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Giambelli compatible point processes will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-489104