Chapters
Chapter assignements
30 nov 2000
-
(everybody sends comments/edits to Predrag:)
Overture
- (Ronnie 30 Oct)
Trajectories-
strange sets, something on computing, add appendix of flows, billiards
as circle and line intersection,
- (Ronnie 30 Nov)
Local stability-
Lozi map, Henon with € becomes parabola, linear maps (could be 2d),
mention Lyapunov exponents, do billiards well, stabilities are coordinate
invariant, look at Gaspard's book for stability of billiards.
- (Ronnie 15 Jan)
Transporting densities-show islands of stability, different ergodic
components, clear up L versus L*. Compare to
Koopman: how do they differ?
- (Gabor 31 Jan)
Averaging
- (Gabor 31 Jan)
Trace formulas
- (Gabor 28 Feb)
Spectral determinants
10.1 + 10.2 + 10.3 + 10.5 + 10.6 + 10.7 + 10.8
- (Roberto 31 Jan)
Why does it work?
10.4+ 12.2+ 12.3, eigenfunctions (13.6), 13.7, 13.8
- (€)
Qualitative dynamics
- (Gregor 30 Nov)
Counting
- (Predrag 30 Oct)
Finding fixed points
- (Roberto 28 Feb)
Cycle expansions + 12.2 + 12.4
- (Roberto 28 Feb)
Why cycle? (simple applications)
13.1 + 13.2 + 13.3 + 13.4 + 13.9
- (Ronnie 15 Feb)
Thermodynamics + E1
- (Gegor 28 Feb)
Intermittency
- (Andreas 15 Dec)
Discrete symmetries
- (Per 30 Nov)
Deterministic diffusion + 17.4 (anomalous diffusion)
- (Per 30 Nov)
Irrationally winding
- (Ronnie 30 Feb)
Statmech
- (Gregor 28 Feb)
Semiclassical evolution
- (Andreas 28 Feb)
Semiclassical quantization
- (Andreas 28 Feb)
Scattering + add 3 disk results
- (Gregor 28 Feb)
Helium
- (Gabor 30 Nov)
Diffraction distraction
(delivered 30 Nov 2000)