Journal of Nonlinear Mathematical Physics

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902 articles
Research Article

Correlation Function of Asymmetric Simple Exclusion Process with Open Boundaries

Masaru UCHIYAMA, Miki WADATI
Pages: 676 - 688
We investigate the correlation functions of the one-dimensional Asymmetric Simple Exclusion Process (ASEP) with open boundaries. The conditions for the boundaries are made most general. The correlation function is expressed in a multifold integral whose behavior we study in detail. We present a phase...
Research Article

On the Equilibrium Configuration of the BC-type Ruijsenaars-Schneider System

Jan F VAN DIEJEN
Pages: 689 - 696
It is shown that the ground-state equilibrium configurations of the trigonometric Btype Ruijsenaars-Schneider systems are given by the zeros of Askey-Wilson polynomals.