Семинары: Г. И. Ботиров, Gibbs measures for models with uncountable set of spin values

СЕМИНАРЫ


Семинар по современным проблемам комплексного анализа (Семинар Садуллаева) 8 октября 2020 г. 12:00, г. Ташкент, Онлайн на платформе Zoom

Gibbs measures for models with uncountable set of spin values G. I. Botirov V. I. Romanovskiy Institute of Mathematcs of the Academy of Sciences of Uzbekistan
Аннотация: We consider models with the set $[0,1]$ of spin values on a Cayley tree of order $k\ge 2$. We give criterion on parameters of such models for non-uniqueness of Gibbs measure (the phase-transition behavior) on Cayley trees with arbitrary degree $k\ge 2$. Moreover, using ART (Akin, Rozikov, Temir), Bleher-Ganikhodjaev, Zachary constructions continuum sets of new Gibbs measures are constructed. Website: https://us02web.zoom.us/j/84574793587