Internal-symmetry structure of statistical bootstrap models

1977 ◽  
Vol 15 (9) ◽  
pp. 2682-2688
Author(s):  
F. Csikor
1972 ◽  
Vol 5 (4) ◽  
pp. 922-927 ◽  
Author(s):  
Moorad Alexanian

1974 ◽  
Vol 23 (3) ◽  
pp. 581-609 ◽  
Author(s):  
J. Engels ◽  
K. Fabricius ◽  
K. Schilling

2019 ◽  
Vol 2020 (24) ◽  
pp. 9797-9843 ◽  
Author(s):  
Anton Dzhamay ◽  
Alisa Knizel

Abstract The goal of this paper is to investigate the missing part of the story about the relationship between the orthogonal polynomial ensembles and Painlevé equations. Namely, we consider the $q$-Racah polynomial ensemble and show that the one-interval gap probabilities in this case can be expressed through a solution of the discrete $q$-P$\left (E_7^{(1)}/A_{1}^{(1)}\right )$ equation. Our approach also gives a new Lax pair for this equation. This Lax pair has an interesting additional involutive symmetry structure.


Nature ◽  
1884 ◽  
Vol 29 (747) ◽  
pp. 383-384 ◽  
Author(s):  
L. SOHNCKE

2007 ◽  
Vol 48 (6) ◽  
pp. 1067-1071 ◽  
Author(s):  
Bai Hong-Bo ◽  
Zhang Jin-Fu ◽  
Cao Wan-Cang ◽  
Lü Li-Jun ◽  
Zhaorigt ◽  
...  
Keyword(s):  

1990 ◽  
Vol 208 ◽  
Author(s):  
Ichiro Hirosawa ◽  
Jun'ichiro Nizuki ◽  
Toru Tatsumi ◽  
Koichi Akimoto ◽  
Junji Matsui

ABSTRACTIn order to investigate the initial oxidation process Qf the Si (111) surface, we have studied the molecular beam deposited Si0 2/Si(111)-7×7 interface structure using grazing incidence X-ray diffraction geometry. We suggest a three-fold symmetry structural model composed of stacking fault layer, dimer layer and additional ordered atoms. The three-fold symmetry structure comes from the preference for oxidation in the faulted half of the 7×7 structure.


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