Birth date:
13.12.1940
E-mail: Keywords: dynamical systems with discrete time; functional birational equations; difference equations; ordinary differential equations; partial differential equations; birational mappings; birational algebraic geometry; functional equations in number theory; integrability of birational difference, functional, ordinary and partial differential equations.
Main publications:
Rerikh K. V. General Approach to Integration of Reversible Dynamical Systems, Defined by Mappings from Cremona Group of Birational Transformation $Cr(P_k^n)$ // Matem. Zametki, 2000, 68(5), 699–799.
Rerikh K. V. Non-algebraic integrability of one reversible dynamical system of the Cremona type // J. Math. Phys., 1998, 39, 2821–2832.
Rerikh K. V. Algebraic-geometry approach to integrability of birational plane mappings. Integrable birational quadratic reversible mappings. I // J. Geometry and Physics, 1998, 24, 265–290.
Rerikh K. V. Algebraic addition concerning the Siegel theorem on the linearization of a holomorphic mapping // Math. Zeitsch., 1997, 224, 445–448.
Rerikh K. V. Non-algebraic integrability of the Chew–Low reversible dynamical system of the Cremona type and the relation with the 7th Hilbert problem (non-resonant case) // Physica D, 1995, 82, 60–78.
