Ditching Bio for a while,
also ditching Control Theory for a while.
Trying to read Nikolai Makarov's work on the thermodynamics of rational maps.
I don't know what this is, either.
A "pressure spectrum" P(t) is defined for a rational map F.
I don't understand why it is important. However, P(t) is related to "certain transfer operators."
Some keywords in this work:
Analytic, i.e. under certain conditions given in paper, the negative spectrum is real analytic
Riemann sphere, Spherical metric
Critical points, Periodic Points, i.e. limit sets of the dynamical system
Conformal Dynamical Systems
I will try to ignore the portions relating to "measure" and dimension spectra, since I haven't studied measure theory. I ran away from Ma 110b in January.