Shifted Schur process and asymptotics of large random strict plane partitions

Details Shifted Schur process and asymptotics of large random strict plane partitions Shifted Schur process and asymptotics of large random strict plane partitions

2007-02-20

arxiv.org/abs/math-ph/0702068v1

Int. Math. Res. Notices (2007), Vol 2007, article ID rnm043, 53 pages

Physics

Mathematical Physics

AMSTex, 48 pages, 12 figures

Scientific paper

In this paper we define the shifted Schur process as a measure on sequences of strict partitions. This process is a generalization of the shifted Schur measure introduced in [TW] and [Mat] and is a shifted version of the Schur process introduced in [OR]. We prove that the shifted Schur process defines a Pfaffian point process. We further apply this fact to compute the bulk scaling limit of the correlation functions for a measure on strict plane partitions which is an analog of the uniform measure on ordinary plane partitions. As a byproduct, we obtain a shifted analog of the famous MacMahon's formula.

Affiliated with

Also associated with

No associations

Rating

Shifted Schur process and asymptotics of large random strict plane partitions 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 Shifted Schur process and asymptotics of large random strict plane partitions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Shifted Schur process and asymptotics of large random strict plane partitions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-383714