Applications

of Teichmuller Theory

Nikola Lakic

(preliminary draft from an NSF grant abstract)

Teichmuller spaces of closed sets have many applications to dynamics and hyperbolic geometry.
The recently developed asymptotic Teichmuller spaces, for instance, serve as parameter spaces in
the study of dynamical systems. Modern dynamical system theory has had a number of important
applications, ranging from the life sciences and physics to economics. Several complicated
biological phenomena (the rate of change in the population of a single species, to cite a concrete
example) are modelled by nonlinear dynamical systems, making it imperative to understand the
long-term behavior of these mathematical systems if knowledge of the corresponding bio-system is
to be advanced.

To Professor Lakic

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