13 july 2000


Note that there are two versions of the webbook, a public one

www.nbi.dk/ChaosBook/
with only the finished parts, and the complete existing text on
www.nbi.dk/ChaosBook/coauthors/
for us only. You do not want to print the whole thing (880 pages!) but please scan through parts of interest to you.

Whenever you start working on a chapter, alert Predrag first, so that no other edits are made to the web version while you are working on it.




Chapter assignements

Gabor:

Thermodynamic formalism (completed 7 july 2000)
Getting used to cycles (completed 7 july 2000)
Applications (completed 7 july 2000)
Dettmann on orbital measures
Gregor:
Semiclassical evolution (completed 13 july 2000)
Gutzwiller trace formula
Helium (completed 11 june 2000)
Appendix: Linear stability of Hamiltonian flows
Andreas:
Semiclassical chaotic scattering (rewrite due 23. July 2000).
Creeping
Appendix: Infinite dimensional operators
Predrag:
Trace formulas
Determinants
Cycle expansions
Discrete symmetries
Appendix: Discrete symmetries
Hans Henrik:
Why does it work? (completed 9 July 2000)
Ronnie:
Overture
Dynamics
Local stability
        (Including stability of PO-s)
Statistical mechanics
Summary
Appendix: Brief history of chaos
Kai, Predrag:
Qualitative dynamics
Counting
Pruning
Freddy:
Fixed points and how to get them
     (including how to get symbols and guesses of initial points)
Roberto:
Transporting densities (completed 29 June 2000)
Averaging (completed 29 June 2000) (editing, starting 19 Jun 2000)
Deterministic diffusion (completed 29 June 2000)
      (involve Dettmann in the Lorenz gas part?)
Intermittency (completed 29 June 2000)
Irrationally winding (completed 29 June 2000)
Border of order (eliminated by Roberto 2 July 2000)
Niall:
(Periodic orbit theory of diffraction?)
Diffraction distraction (completed 29 June 2000)
(or Andreas - Appendix on billiards?)
Predrag, Roberto, Ronnie or Gabor:
Evolution operators
(depending on workload)
Per:
Intermittency (completed 7 june 2000)
Appendix: Symbolic dynamics techniques (with Predrag?)


There are many obvious holes - examples:

1. billiard reflection rules and stability are not explained;
2. stable/unstable manifolds are not defined
3. etc., etc.
so if you feel inspired to patch up something outside of the suggested assignements above, let Predrag know.


Predrag Cvitanovic', predrag@nbi.dk