Newtonian physics began with an attempt to make precise predictions about natural phenomena, predictions that could be accurately checked by observation and experiment. The goal was to understand nature as a deterministic, “clockwork” universe. The application of probability distributions to physics developed much more slowly. Early uses of probability arguments focused on distributions with well‐defined means and variances. The prime example was the Gaussian law of errors, in which the mean traditionally represented the most probable value from a series of repeated measurements of a fixed quantity, and the variance was related to the uncertainty of those measurements.
REFERENCES
1.
B. Mandelbrot, The Fractal Geometry of Nature, Freeman, San Francisco (1982).
2.
3.
Lévy Flights and Related Topics in Physics, M. Shlesinger, G. Zaslavsky, U. Frisch, Eds., Springer, Berlin (1995).
4.
T.
Geisel
, J.
Nierwetberg
, A.
Zacherl
, Phys. Rev. Lett.
54
, 616
(1985
).5.
M.
Shlesinger
, B.
West
, J.
Klafter
, Phys. Rev. Lett.
58
, 1100
(1987
).M.
Shlesinger
, J.
Klafter
, Y. M.
Wong
, J. Stat. Phys.
27
, 499
(1982
).6.
7.
A.
Ott
, J.
Bouchaud
, D.
Langevin
, and W.
Urbach
, Phys. Rev. Lett.
65
, 2201
(1990
).8.
9.
T.
Solomon
, E.
Weeks
, H.
Swinney
, Phys. Rev. Lett.
71
, 3975
(1993
).10.
11.
12.
A.
Chernikov
, B.
Petrovichev
, A.
Rogalsky
, R.
Sagdeev
, G.
Zaslavsky
, Phys. Lett. A
144
, 127
(1990
).13.
14.
I.
Aranson
, M.
Rabinovich
, L.
Tsimring
, Phys. Lett. A
151
, 523
(1990
).15.
16.
17.
R.
Ramashanker
, D.
Berlin
, J.
Gollub
, Phys. Fluids A
2
, 1955
(1980
).18.
S.
Stapf
, R.
Kimmich
, R.
Seitter
, Phys. Rev. Lett.
75
, 2855
(1995
).19.
G.
Zimbardo
, P.
Veltrei
, G.
Basile
, S.
Principato
, Phys. Plasma
2
, 2653
(1995
).20.
A. Carasso, in Mathematical Methods in Medical Imaging II, SPIE vol. 2035 (1993), p. 255.
21.
R.
Fleischmann
, T.
Geisel
, R.
Ketzmerick
, Europhys. Lett.
25
, 219
(1994
).
This content is only available via PDF.
© 1996 American Institute of Physics.
1996
American Institute of Physics
You do not currently have access to this content.