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COMBINATORICS
2004
94views more  COMBINATORICS 2004»
15 years 3 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
81views more  COMBINATORICS 2004»
15 years 3 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
99views more  COMBINATORICS 2004»
15 years 3 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, ...
108
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COMBINATORICS
2004
84views more  COMBINATORICS 2004»
15 years 3 months ago
q-Exponential Families
We develop an analog of the exponential families of Wilf in which the label sets are finite dimensional vector spaces over a finite field rather than finite sets of positive integ...
Kent E. Morrison
110
Voted
COMBINATORICS
2004
81views more  COMBINATORICS 2004»
15 years 3 months ago
Propagation of Mean Degrees
We propose two alternative measures of the local irregularity of a graph in terms of its vertex degrees and relate these measures to the order and the global irregularity of the g...
Dieter Rautenbach