Next: About this document Up: Complexity Growth in Almost Previous: Almost periodic particle dynamics


References

1
W. Brown and K. Hepp, "The Vlasov Dynamics and Its Fluctuations in the 1/n Limit of Interacting Classical Particles", Communications in Mathematical Physics, 56 (1977) 101-113.

2
J. Hardy, O. de Pazzis, and Y. Pomeau, "Molecular Dynamics of a Classical Lattice Gas: Transport Properties and Time Correlation Functions", Physical Reviews A, 13 (1976) 1949-1961.

3
J. Hardy and Y. Pomeau, "Thermodynamics and Hydrodynamics for a Modeled Fluid", Journal of Mathematical Physics, 13 (1972) 1042-1051.

4
A. Hof and O. Knill, "Cellular Automata with Almost Periodic Initial Conditions", Nonlinearity. 8 (1995) 477-491.

5
O.E. Lanford III, "Time Dependent Phenomena in Statistical Mechanics", In Mathematical problems in theoretical physics, Volume 116 of Lecture Notes in Physics, Springer, Berlin-New York, 1980. Proceedings International Conference in Mathematical Physics, Lausanne, 1979.

6
A. Jakobsen and O. Knill, "Iteration of the Coupled Map Lattice Construction", Physics Letters A, 205 (1995) 179-183.

7
O. Knill, "Isospectral Deformations of Random Jacobi Operators", Communications in Mathematical Physics, 151 (1993) 403-426.

8
O. Knill, "Nonlinear Dynamics from the Wilson Lagrangian", Journal of Physics A: Mathematical and General, 29 (1996) L595-L600.

9
J. Milnor, "On the Entropy Geometry of Cellular Automata", Complex Systems, 2 (1988) 357-386.

10
H. Neunzert, "An Introduction to the Nonlinear Boltzmann-Vlasov Equation", In Kinetic theories and the Boltzmann equation, Volume 1048 of Lectures notes in Mathematics, Springer, Berlin, Heidelberg, 1984.

11
E. Reed, "Lattice Gas Cellular Automata With Almost Periodic Initial Conditions", Caltech Undergraduate Journal. (1996).

12
R.Johnson and J.Moser, "The Rotation Number for Almost Periodic Potentials", Communications in Mathematical Physics, 84 (1982) 403-438.

13
H. Spohn, "Large Scale Dynamics of Interacting Particles", Texts and Monographs in Physics. Springer-Verlag, New York, 1991.

14
S. Wolfram, "Theory and Applications of Cellular Automata", World Scientific, 1986.

15
S. Wolfram, "Thermodynamics and Hydrodynamics of Cellular Automata", Statistical Mechanics of Cellular Automata, 1986. Reprinted in [14].


Oliver Knill
Mon Jun 29 14:18:53 CDT 1998