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COMBINATORICS
2004
70views more  COMBINATORICS 2004»
13 years 9 months ago
On a Partition Function of Richard Stanley
In this paper, we examine partitions classified according to the number r() of odd parts in and s() the number of odd parts in , the conjugate of . The generating function for ...
George E. Andrews
COMBINATORICS
2004
81views more  COMBINATORICS 2004»
13 years 9 months ago
A Card Shuffling Analysis of Deformations of the Plancherel Measure of the Symmetric Group
This paper finds and analyzes a formula for the total variation distance between iterations of riffle shuffles and iterations of "cut and then riffle shuffle". This allo...
Jason E. Fulman
COMBINATORICS
2004
94views more  COMBINATORICS 2004»
13 years 9 months ago
A Bijection Between Classes of Fully Packed Loops and Plane Partitions
It has recently been observed empirically that the number of FPL configurations with 3 sets of a, b and c nested arches equals the number of plane partitions in a box of size a
P. Di Francesco, Paul Zinn-Justin, Jean-Bernard Zu...
COMBINATORICS
2004
99views more  COMBINATORICS 2004»
13 years 9 months ago
A Scaling Result for Explosive Processes
We consider the asymptotic behavior of the following model: balls are sequentially thrown into bins so that the probability that a bin with n balls obtains the next ball is propor...
Michael Mitzenmacher, Roberto Imbuzeiro Oliveira, ...
COMBINATORICS
2004
61views more  COMBINATORICS 2004»
13 years 9 months ago
Graphic and Protographic Lists of Integers
A positive list (list of positive integers) is protographic if its merger with all but finitely many positive graphic lists is graphic. Define the family Ps of s-protogaphic lists...
Dmitry Fon-Der-Flaass, Douglas B. West