Selected Publications



I. What does nonintegrability mean?
1. "Nonintegrability, chaos, and complexity". Physica A237, Pg. 387 (1997).
2. "Integrability of flows in phase space", Chaos, Solitons, & Fractals
1493 (1995)

2. Relativity and cosmology
1."Are galaxy distributions scale invariant?" preprint (1997)
2. 1997 Oslo Lectures on"Relativity, Gravity, Cosmology and the distribution of the galaxies" preprint (1997).
3. The galaxy distribution : homogenous, fractal or neither, Fractals 6, 109(1998)

3. Symbolic dynamics, automata
1. "Universal Deterministic Statistical Independence," Zeitschrift fur Physik B 81, 115 (1990).
2. "Chaotic Dynamical Systems as Automata," Zeitschrift fur Naturforschung 42A,547(1987).
3. "Chaotic Dynamical Systems as Machines," in "Computation Systems -Natural and Artificial," Proc. of the 1987 International Synergetics Symposium, Schloss Elmau, Bavaria, Springer Verlag (1987).

4. Complexity
1. "The new science of complexity", Discrete dynamical systems in nature and society 1, 17 (1997).
2. "Nonintegrability, chaos, and complexity". Physica (1997).

5. Science wars (holism, relativism, postmodernism, Mach's principle and other blah-blah)
1. "Science, freedom, simulations and the unbearable triviality of postmodernism", Gulf Coast Vll, No. 1, 81-91, Winter 1995-96.
2. "Complexity, simulations, and emergent law", Phalanx 29, 8 (1997).
3. 1997 Oslo Lectures on"Relativity, Gravity, Cosmology and the distribution of the galaxies" (see part 8).

6. Computability, shadowing
1. "Computable Chaotic Orbits" (with J. Palmore), Phys. Lett. A115, 433 (1986).
2. "Shadowing of Computable Pseudo-Orbits," (with J. Palmore), Phys. Lett. 122A, 399 (1987).

7. Fractals in turbulence?
1. "Introduction to Multifractals in Dynamical Systems Theory and Fully Developed Fluid Turbulence," Physics Reports 189, 225 (1990).
2. "Universality in Fully Developed Chaos, and Statistics at Small Scales in Turbulence," in "Spontaneous Formation of Space-Time Structures and Criticality," ed. D. Sherrington and T. Riste, Kluwer (1991).

Non turbulent Eddy cascade

8. Rock physics (where's the oil?)
1. "Models of Conductivity and Permeability", Physica A187, 18 (1992).
2. " Discrete and Integral Hydrodynamic Models of Percolation Networks", Physica A197, 528 (1993).

9. Phase slips and vortex pinning
1. "Interactions of Vortices with Boundaries in Superfluid Films," with C.W.Allen, Phys. Rev. B 25, 5680 (1982).
2. "Vortex Pinning in Two Dimensions and in Thin Superfluid Films," with C.W.Allen and F. W. Lipps, Phys. Lett.103A, 215 (1984).

10. Statistical physics
1. "Critical Exponents below Tc via Skeleton Graphs," J. McCauley and E. Abrahams, in Quantum Statistical Mechanics in the Natural Sciences, (Plenum Press, 1974), pp. 337-57.
2. "Phase Space Quantization of Interacting Vortices in Two Dimensions," J. Phys. A12, 1999 (1979).

11. Onsager tales
1. "Lars Onsager-min doktorgradsveileder", Fra Fysikkens Verden Nr. 4, 1993.
2. "Weak electrolytes, Brownian motion, superfluid films and Odins aker", J. Stat. Phys. ' Onsager Symposium Proceedings Issue (1995).

12. Econometrics / finance
1. Is econometrics science ?
2. "The Return of Depression economics"
3. The Futility of utility : How market dynamics marginalize Adam Smith, preprint (1999)
 
 

Ink Drop Experiment (R ~ 15)


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