"Farey Nets and Multidimensional Continued Fractions,"
Monatshefte fur Mathematik 114(1992), 35-60.
Abstract
"Random Walks in Weyl Chambers and the Decomposition of
Tensor Powers,"
J. Alg. Combin. 2(1993), 239-260;
joint work with Peter Magyar.
Abstract
"A Combinatorial Correspondence for Walks in Weyl
Chambers,"
J. Combin. Th. A 71(1995), 275-292.
Abstract
Walks and Representation Theory,,
Ph.D. thesis, Harvard University, May 1995; revised January 1996.
Thesis abstract (includes above two papers)
"Continued Fractions and Unique Additive Partitions,"
Ramanujan Journal 3(1999), 73-81.
The link above gives an abstract, and a Mathematical Sciences Research
Institute preprint. This paper has been substantially revised from the
preprint (although the theorems in the preprint are all correct, there
are minor errors in some arguments); please contact me for an updated
reprint.
"Posets in Which Every Interval is a Product of Chains, and a Natural
Local Action of the Symmetric Group," Discrete Mathematics
199, 1-3(1999), 77-84.
Abstract
"Brownian Motion in a Weyl Chamber, Non-Colliding Particles, and Random
Matrices," Annales de l'I. H. P. Probabilites et
Statistiques 35(1999), 177-204.
The link above gives an abstract, and a Mathematical Sciences Research
Institute preprint. There have been only minor revisions from the
preprint; please contact me for an updated reprint if necessary.
"Descartes' Rule of Signs: Another Construction,"
American Mathematical Monthly, 106(1999), 854-856.
Abstract
"Cutting Sequences for Geodesic Flow on the Modular Surface and
Continued Fractions," Monatshefte fur Mathematik
133(2001), 295--339; joint work with Jeffrey C. Lagarias.
The link above gives an abstract, and a Mathematical Sciences Research
Institute preprint. There have been only minor revisions from the
preprint; please contact me for an updated reprint if necessary.
"Brownian Motion in an Alcove of an Affine Weyl Group, and Non-Colliding
Random Walks in an Interval,"
J. Combin. Th. A 97(2001), 285-306.
There have been substantial revisions from the preprint at the link
above; please contact me for a reprint.
"A Simple Definition for the Universal Grassmannian Order", J. Combin. Th. A 102(2003), 347-366; joint with Curtis Bennett and Atchutalakshmi Evani.
"Asymptotics for the Distribution of Subtableaux in Young and Up-Down Tableaux", Electronic J. Combin. 11(2)(2004-2006), #R29.