CHAOS, AND WHAT TO DO ABOUT IT ----------------------------------------------------------- Georgia Tech PHYS 7224 spring 2005 Predrag Cvitanovic' Homework Assignment #5 ---------------------- Due Tue Feb 22 Transporting densities; Averaging ----------------------------------- Computational: take a break Pen and Paper: 9.1 Integrating over Dirac delta functions 9.3 L^t generates a semigroup 9.7 Eigenvalues of a Perron-Frobenious operator 9.10 Operator A generates translations 10.2 Expectation value of vector observable Bonus points: 9.2 Derivatives of Dirac delta functions. 9.5 Invariant measure. 9.9 Gauss map natural measure A Show that evolution operator integrates trajectories (hint - work thorugh Appendix D.2)