Seminars: G. I. Botirov, Gibbs measures for models with uncountable set of spin values

SEMINARS


Seminar on Modern Problems of Complex Analysis (Sadullaev Seminar) October 8, 2020 12:00, Tashkent, National University of Uzbekistan, Room A304 (Department of Mathematics)

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
Abstract: 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