This book develops the combinatorics of Young tableaux and shows them in action in the
algebra of symmetric functions, representations of the symmetric and general linear groups …

I have been very gratified by the response to the first edition, which has resulted in it being
sold out. This put some pressure on me to come out with a second edition and now, finally …

Many enumeration problems, such as that of counting nonnegative integer matrices with
given row and column sums, have solutions which can be expressed as coefficients of …

In this paper we introduce a class of partially ordered sets, called differential posets, with
many remarkable combinatorial and algebraic properties.(Terminology from lattice theory …

These notes--originating from a one-semester class by their second author at the University
of Minnesota--survey some of the most important Hopf algebras appearing in combinatorics …

We explore probabilistic consequences of correspondences between $ q $-Whittaker
measures and periodic and free boundary Schur measures established by the authors in the …

Combinatorial $ B_ {n} $-analogues of Schubert polynomials and corresponding symmetric
functions are constructed and studied. The development is based on an exponential solution …

This paper is a sequel to [3]. We keep the notation and terminology and extend the
numbering of sections, propositions, and formulae of [3], The main result of this paper is a …

We study fluctuations of the current at the boundary for the half‐space asymmetric simple
exclusion process (ASEP) and the height function of the half‐space six‐vertex model at the …

We give new bounds and asymptotic estimates for Kronecker and Littlewood–Richardson
coefficients. Notably, we resolve Stanley's questions on the shape of partitions attaining the …