The INI has a new website!

This is a legacy webpage. Please visit the new site to ensure you are seeing up to date information.

Skip to content

DIS

Seminar

Admissibility of solutions of discrete dynamical systems

Halburd, R (UCL)
Thursday 14 May 2009, 16:30-17:30

Satellite

Abstract

For discrete equations on a number field, the rate of growth of the heights of iterates is a good detector of integrability. In the case of a rational number, the height is just the maximum of the absolute value of the denominator and numerator. A solution is called admissible if its height grows much faster than the heights of the coefficients in the equation. For certain classes of equations it is shown that the existence of a single slow-growing admissible solution is enough to guarantee that the equation is a discrete Painleve equation. Inadmissible solutions are also explored. These solutions correspond to pre-periodic orbits for classical (autonomous) dynamical systems. The classical theory is extended to better understand these solutions in the non-autonomous setting.

Video

The video for this talk should appear here if JavaScript is enabled.
If it doesn't, something may have gone wrong with our embedded player.
We'll get it fixed as soon as possible.

Back to top ∧