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Difference system for Selberg correlation integrals
Difference system Selberg correlation integrals
2010/11/12
The Selberg correlation integrals are averages of the products $\prod_{s=1}^m\prod_{l=1}^n (x_s - z_l)^{\mu_s}$ with respect to the Selberg density. Our interest is in the case $m=1$, $\mu_1 = \mu$, w...
Spin-spin correlation functions of the q-VBS state of an integer spin model
Spin-spin correlation functions q-VBS state integer spin model
2010/12/9
We consider the valence-bond-solid ground state of the q-deformed higher-spin AKLT model (q-VBS state). We investigate the eigenvalues and eigenvectors of a matrix (G matrix), which is constructed fro...
The Boltzmann/Shannon entropy as a measure of correlation
The Boltzmann/Shannon entropy correlation
2010/11/1
IIt is demonstrated that the entropy of statistical mechanics and of information theory, $S({\bf p}) = -\sum p_i \log p_i $ may be viewed as a measure of correlation. Given a probability distribution...