All Outputs (2)

Surface tension and the Ornstein-Zernike behaviour for the 2D Blume-Capel model (2002)
Journal Article
Hryniv, O., & Kotecký, R. (2002). Surface tension and the Ornstein-Zernike behaviour for the 2D Blume-Capel model. Journal of Statistical Physics, 106(3-4), 431-476. https://doi.org/10.1023/a%3A1013797920029

We prove existence of the surface tension in the low temperature 2D Blume Capel model and verify the Ornstein-Zernike asymptotics of the corresponding finite-volume interface partition function.

Phase transition for the spherical hierarchical model (2002)
Journal Article
Ben Arous, G., Hryniv, O., & Molchanov, S. (2002). Phase transition for the spherical hierarchical model. Markov processes and related fields, 8(4), 565-594

We present the whole spectrum of the limit theorems for the total magnetization in the hierarchical version of the spherical model in dimensions dim > 2.