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JCT
2011
55views more  JCT 2011»
13 years 18 days ago
A Pieri rule for skew shapes
The Pieri rule expresses the product of a Schur function and a single row Schur function in terms of Schur functions. We extend the classical Pieri rule by expressing the product ...
Sami H. Assaf, Peter R. W. McNamara
JCT
2000
96views more  JCT 2000»
13 years 5 months ago
On Tail Distribution of Interpost Distance
A partial order on Z obtained by taking the transitive closure of a random relation {i < j and there is an edge ij} is studied. Randomness stems from postulating that an edge ij...
Jeong Han Kim, Boris Pittel
JCT
2007
111views more  JCT 2007»
13 years 5 months ago
Lattice point counts for the Shi arrangement and other affinographic hyperplane arrangements
Hyperplanes of the form xj = xi + c are called affinographic. For an affinographic hyperplane arrangement in Rn, such as the Shi arrangement, we study the function f(m) that counts...
David Forge, Thomas Zaslavsky
JCT
2000
111views more  JCT 2000»
13 years 5 months ago
Immanants and Finite Point Processes
Givena Hermitian,non-negativede nitekernelK and a character of the symmetric group on n letters, de ne the corresponding immanant function K x1;::: ;xn := P Qn i=1 Kxi;x i, where ...
Persi Diaconis, Steven N. Evans
JCT
2011
141views more  JCT 2011»
13 years 18 days ago
Bijections for Baxter families and related objects
The Baxter number Bn can be written as Bn = n k=0 Θk,n−k−1 with Θk,ℓ = 2 (k + 1)2 (k + 2) k + ℓ k k + ℓ + 1 k k + ℓ + 2 k . These numbers have first appeared in the...
Stefan Felsner, Éric Fusy, Marc Noy, David ...