Detalles de Evento

Este evento terminó el 30 noviembre 2017.

Ciclo de conferencias “Dynamical systems and their applications”
Conferenciante: Utkir Rozikov (Institute of Mathematics, Uzbekistan Academy of Sciences)
First Session: Introduction to dynamical systems [1,2,3]
Jueves 23 de noviembre de 2017, 11:30-14:00, Seminario 1ª planta, IEMath-GR
  • What is a dynamical system (DS)? Discrete and continuous time.
  • The orbit of a DS.
  • One dimensional DS, hyperbolic points.
  • On a family of quadratic DSs.
Second Session: Applications to biology [4-7]
Martes 28 de noviembre de 2017, 11:30-14:00, Seminario 2ª planta IEMath-GR
  • Definitions of QSO.
  • The Volterra QSOs.
  • Examples of Non-Volterra QSOs.
Third Session: Thermodynamics in physics [8-10]
Jueves 30 de noviembre de 2017, 11:30-14:00, Sala de Conferencias, IEMath-GR
  • Gibbs measure.
  • Configuration space. Hamiltonian.
  • A functional equation for the Ising model.
  • Periodic Gibbs measures of the Ising model.

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  5. Ganikhodzhaev R.N., Mukhamedov F.M., Rozikov U.A. Quadratic stochastic operators and processes: results and open problems. Inf. Dim. Anal. Quant. Prob. Rel. Fields. 2011. V.14, No.2, p.279-335.
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  8. Rozikov U.A. Gibbs measures on Cayley trees. World Sci. Publ. Singapore. 2013, 404 pp.
  9. Ya.G. Sinai, Theory of phase transitions: Rigorous Results, Pergamon, Oxford, 1982.
  10. H.O. Georgii, Gibbs Measures and Phase Transitions, Second edition. De Gruyter Studies in Mathematics, 9. Walter de Gruyter, Berlin, 2011
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