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Batrice de Tilire 《Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques》2007,43(6):729-750
We consider dimer models on planar graphs which are bipartite, periodic and satisfy a geometric condition called isoradiality, defined in [R. Kenyon, The Laplacian and Dirac operators on critical planar graphs, Invent. Math. 150 (2) (2002) 409–439]. We show that the scaling limit of the height function of any such dimer model is a Gaussian free field. Triangular quadri-tilings were introduced in [B. de Tilière, Quadri-tilings of the plane, math.PR/0403324, Probab. Theory Related Fields, in press]; they are dimer models on a family of isoradial graphs arising from rhombus tilings. By means of two height functions, they can be interpreted as random interfaces in dimension 2+2. We show that the scaling limit of each of the two height functions is a Gaussian free field, and that the two Gaussian free fields are independent. 相似文献
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Z—scan的理论及技术研究进展 总被引:3,自引:0,他引:3
本文在介绍传统Z-scan的基础上介绍双色光Z-scan(Tow color Z-scan)、双光束时间分辨率Z-scan(Time-resolved Z-scan)、遮挡Z-scan(Eclipsing Z-scan)、反向Z-scan(Reflection Z-scan)等改进的Z扫描技术。分析了各种Z-scan技术的特点及应用。综述了Z扫描理论与技术的发展。 相似文献
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