A symmetrical plane partition correspondence

Determinants in Plane Partition Enumeration

In this paper we provide a new and concise evaluation of det ij + x + i + j j 05i;j5n?1 : This determinant arose in the enumeration of certain set of plane partitions. Its previous evaluation was lengthy and complicated.

Partition Analysis Xii: Plane Partitions

Plane Partition Diamonds and Generalizations

SYLVIE CORTEEL AND CARLA D. SAVAGE Abstra t. In this note we generalize the plane partition diamonds of Andrews, Paule, and Riese to plane partition polygons and plane tree diamonds and show how to ompute their generating fun tions. 1. Introdu tion In [1℄, Andrews, Paule, and Riese introdu e the family of plane partition diamonds. A plane partition diamond of length n is a sequen e of length 3n...

Bootstrap Confidence Regions in Non-symmetrical Correspondence Analysis

Non-symmetric Correspondence analysis is a method increasingly used in place of classical correspondence analysis to portray the asymmetric association of two categorical variables. In this paper we investigate the reliability of graphical displays illustrating variable prediction, by looking at inferential aspects of the sampling variation of the configuration of points, using a bootstrap appr...

Macmahon’s Partition Analysis Xi: Hexagonal Plane Partitions

In this paper we continue the partition explorations made possible by Omega, the computer algebra implementation of MacMahon’s Partition Analysis. The focus of our work has been partitions associated with directed graphs. The graphs considered here are made up of chains of hexagons, and the related generating functions are infinite products. Somewhat unexpectedly, while the generating functions...