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

SEMINARS


Functional analysis and its applications October 22, 2020 09:00

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 $k>1$. We give criterion on parameters of such models for non-uniqueness of Gibbs measure (the phase-transition behavior) on Cayley trees with arbitrary degree $k>1$. Moreover, continuum sets of new Gibbs measures are constructed. Website: https://us02web.zoom.us/j/88171497327