Probabilistic measures and algorithms arising from the Macdonald symmetric functions

Details Probabilistic measures and algorithms arising from the Macdonald symmetric functions Probabilistic measures and algorithms arising from the Macdonald symmetric functions

1997-12-09

arxiv.org/abs/math/9712237v1

Mathematics

Combinatorics

30 pages

Scientific paper

The Macdonald symmetric functions are used to define measures on the set of all partitions of all integers. Probabilistic algorithms are given for growing partitions according to these measures. The case of Hall-Littlewood polynomials is related to the finite classical groups, and the corresponding algorithms simplify. The case of Schur functions leads to a $q$-analog of Plancharel measure, and a conditioned version of the corresponding algorithms yields generalizations of the hook walk of combinatorics.

Affiliated with

Also associated with

No associations

Rating

Probabilistic measures and algorithms arising from the Macdonald symmetric functions 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 Probabilistic measures and algorithms arising from the Macdonald symmetric functions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Probabilistic measures and algorithms arising from the Macdonald symmetric functions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-16489