An early theme in probability was calculating the fair ante for various games of chance. Nicolas Bernoulli introduced a seemingly innocent game, first published in 1713, that yielded a paradoxical result. The result has become known as the St. Petersburg paradox, because of an analysis written later by Daniel Bernoulli in the Commentary of the St. Petersburg Academy.
Topics
Physicists
REFERENCES
1.
I. Todhunter, A History of the Mathematical Theory of Probability, Cambridge U.P., Cambridge, England (1865).
2.
3.
4.
5.
H. Scher, in Proc. Seventh Int. Conf. on Amorphous and Liquid Semiconductors, Edinburgh, unpublished (1977), p. 209.
6.
T. Tiedje, in Semiconductors and Semimetals, vol. 21C, J. Pankove, ed., Academic, New York (1984), p. 207.
7.
8.
H. E.
Boesch
Jr, F. B.
McLean
, J. M.
McGarrity
, P. S.
Winokur
, IEEE Trans. Nucl. Sci.
25
, 1239
(1978
).F. B. McLean, H. E. Boesch Jr, T. R. Oldham, in Ionizing Radiation Effects in MOS Devices and Circuits, T. P. Ma, P. V. Dressendorfer, eds., Wiley, New York (1989), p. 87.
9.
10.
11.
12.
13.
14.
A. Plonka, Time‐Dependent Reactivity of Species in Condensed Matter, Lecture Notes in Chemistry 40, Springer‐Verlag, New York (1986).
15.
J.
Kakalios
, R. A.
Street
, W. B.
Jackson
, Phys. Rev. Lett.
59
, 1037
(1987
);J. Kakalios, Hopping and Related Phenomena, World Scientific, Singapore (1990).
16.
17.
“Physics Through the 1990s,” Natl. Acad. Sci. P., Washington, D.C. (1986).
18.
R. G.
Palmer
, D.
Stein
, E. S.
Abrahams
, P. W.
Anderson
, Phys. Rev. Lett.
53
, 958
(1984
).19.
J.
Klafter
, M. F.
Shlesinger
, Proc. Natl. Acad. Sci. USA
83
, 848
(1986
).20.
21.
K. L.
Li
, P. T.
Inglefield
, A. A.
Jones
, J. T.
Bendler
, A. D.
English
, Macromolecules
21
, 2940
(1988
).22.
A. A.
Jones
, J. F.
O'Gara
, P. T.
Inglefield
, J. T.
Bendler
, A. F.
Yee
, K. L.
Ngai
, Macromolecules
16
, 658
(1983
).23.
R. Zallen, The Physics of Amorphous Solids, Wiley, New York (1983), chaps. 4–6.
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1991
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