Jarmo Hietarinta

Professor of Theoretical Physics
2004-2009: Dean, Faculty of Mathematics and Natural Sciences

Address:

Department of Physics and Astronomy
University of Turku
FIN-20014 Turku
Finland

phone: +358-2-333 5685
mobile: +358-40-722 5685
fax: +358-2-333 5070
e-mail: jarmo.hietarinta@utu.fi

Research interests

The common theme is the search of integrable systems.
An overview is given in the talk at the conference "Recent Advances and Applications in Nonlinear Science", Tokyo, 16-19 October, 2006.
The systems that have been studied include:
  • Liouville integrable classical mechanical systems
  • Quantum mechanical systems
  • Soliton equations using Hirota's bilinear method
  • Yang-Baxter equations

    • As an application of Hirota's method see also the special page on visualizing  dromions.
    Another application of Hirota's method is on Painleve equations.

    A more recent theme is the study of discrete systems including maps and lattices.
    Here integrability is associated to "singularity confinement" or more accurately to vanishing "algebraic entropy", and with lattice equations, to "consistency-around-the-cube".
    In this context, see also the home page of the SIDE conference series.

    An important recent project, supported by the Academy of Finland, is the study of knots and other topological excitations in the Faddeev-Skyrme model and in related models, such as the Ginzburg-Landau model.

    In the past we have also collaborated on studies of chaos in the three-body problem of celestial mechanics, and in the heart-beat time series.