Seminars: F. Kh. Khaidarov, Solvability of nonlinear algebraic and integral equations in the theory of Gibbs measures (presentation of Ph.D.-thesis)

SEMINARS


Seminar on Modern Problems of Complex Analysis (Sadullaev Seminar) May 2, 2019 12:00, Tashkent, National University of Uzbekistan, Room A304 (Department of Mathematics)

Solvability of nonlinear algebraic and integral equations in the theory of Gibbs measures (presentation of Ph.D.-thesis) F. Kh. Khaidarov National University of Uzbekistan named after M. Ulugbek, Tashkent
Abstract: In this dissertation, by using positive fixed points of Hammerstein integral operator, the existence and uniqueness of Gibbs measures for models with continuum set of spin values on a Cayley tree are investigated. In addition, we give some models in which a phase transition occurs.