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Copula function’s concentration set and its concentrated partition
Copula function local correlation structure concentration set concentration measure
2016/1/20
The research on the local correlation structure of copula function is an attractive topic.This paper investigates bivariate copula function’s local correlation structure by defining its concentration ...
CENTRAL LIMIT THEOREMS FOR SOME SET PARTITION STATISTICS
Parameters random limit theorem dimension index level
2015/7/7
We prove the conjectured limiting normality for the number of crossings of a uniformly chosen set partition of [n] = f1;2; : : : ; ng. The arguments use a novel stochastic representation and are also ...
A new representation for the partition function of the six vertex model with domain wall boundaries
Mathematical Physics (math-ph) Statistical Mechanics (cond-mat.stat-mech) Exactly Solvable and Integrable Systems (nlin.SI)
2010/11/11
We obtain a new representation for the partition function of the six vertex model with domain wall boundaries using a functional equation recently derived by the author. This new representation is giv...