-
1
-
-
0000956831
-
The law of anomalous numbers
-
F. Benford, The law of anomalous numbers, Proc. Amer. Philos. Soc. 78 (1938), pp. 551-572.
-
(1938)
Proc. Amer. Philos. Soc.
, vol.78
, pp. 551-572
-
-
Benford, F.1
-
2
-
-
2942661294
-
-
de Gruyter, Berlin, New York
-
A. Berger, Chaos and Chance, de Gruyter, Berlin, New York, 2001.
-
(2001)
Chaos and Chance
-
-
Berger, A.1
-
3
-
-
18144422787
-
Multi-dimensional dynamical systems and Benford's Law
-
A. Berger, Multi-dimensional dynamical systems and Benford's Law, Discr. Contin. Dyn. Syst. 13 (2005), pp. 219-237.
-
(2005)
Discr. Contin. Dyn. Syst.
, vol.13
, pp. 219-237
-
-
Berger, A.1
-
4
-
-
33746310018
-
Benford's Law in power-like dynamical systems
-
A. Berger, Benford's Law in power-like dynamical systems, Stoch. Dyn. 5 (2006), pp. 587-607.
-
(2006)
Stoch. Dyn.
, vol.5
, pp. 587-607
-
-
Berger, A.1
-
5
-
-
34547206747
-
Newton's method obeys Benford's Law
-
A. Berger and T.P. Hill, Newton's method obeys Benford's Law, Amer. Math. Monthly 114 (2007), pp. 588-601.
-
(2007)
Amer. Math. Monthly
, vol.114
, pp. 588-601
-
-
Berger, A.1
Hill, T.P.2
-
7
-
-
34547220090
-
On the distribution of mantissae in nonautonomous difference equations
-
A. Berger and S. Siegmund, On the distribution of mantissae in nonautonomous difference equations, J. Difference Equ. Appl. 13 (2007), pp. 829-845.
-
(2007)
J. Difference Equ. Appl.
, vol.13
, pp. 829-845
-
-
Berger, A.1
Siegmund, S.2
-
8
-
-
12744263576
-
One-dimensional dynamical systems and Benford's law
-
A. Berger, L.A. Bunimovich, and T.P. Hill, One-dimensional dynamical systems and Benford's law, Trans. Amer. Math. Soc. 357 (2005), pp. 197-219.
-
(2005)
Trans. Amer. Math. Soc.
, vol.357
, pp. 197-219
-
-
Berger, A.1
Bunimovich, L.A.2
Hill, T.P.3
-
10
-
-
12744275247
-
Modulo one uniform distribution of the sequence of logarithms of certain recursive sequences
-
J. Brown and R. Duncan, Modulo one uniform distribution of the sequence of logarithms of certain recursive sequences, Fibonacci Quart. 8 (1970), pp. 482-486.
-
(1970)
Fibonacci Quart.
, vol.8
, pp. 482-486
-
-
Brown, J.1
Duncan, R.2
-
11
-
-
0002417821
-
The distribution of leading digits and uniform distribution mod 1
-
P. Diaconis, The distribution of leading digits and uniform distribution mod 1, Ann. Probab. 5 (1979), pp. 72-81.
-
(1979)
Ann. Probab.
, vol.5
, pp. 72-81
-
-
Diaconis, P.1
-
12
-
-
0037081064
-
On the nature of Benford's Law
-
G. Gottwald and M. Nicol, On the nature of Benford's Law, Phys. A 303 (2001), pp. 387-396.
-
(2001)
Phys. A
, vol.303
, pp. 387-396
-
-
Gottwald, G.1
Nicol, M.2
-
13
-
-
84966250122
-
Base-invariance implies Benford's Law
-
T.P. Hill, Base-invariance implies Benford's Law, Proc. Amer. Math. Soc. 123 (1995), pp. 887-895.
-
(1995)
Proc. Amer. Math. Soc.
, vol.123
, pp. 887-895
-
-
Hill, T.P.1
-
14
-
-
84972541029
-
A statistical derivation of the significant-digit law
-
T.P. Hill, A statistical derivation of the significant-digit law, Stat. Sci. 10 (1996), pp. 354-363.
-
(1996)
Stat. Sci.
, vol.10
, pp. 354-363
-
-
Hill, T.P.1
-
16
-
-
33645139599
-
Benford's law, values of L-functions and the 3x{thorn}1 problem
-
A. Kontorovich and S. Miller, Benford's law, values of L-functions and the 3x{thorn}1 problem, Acta Arithmet. 120 (2005), pp. 269-297.
-
(2005)
Acta Arithmet.
, vol.120
, pp. 269-297
-
-
Kontorovich, A.1
Miller, S.2
-
18
-
-
0030328721
-
On the peculiar distribution of the US stock indices digits
-
E. Ley, On the peculiar distribution of the US stock indices digits, Amer. Stat. 50 (1996), pp. 311-313.
-
(1996)
Amer. Stat.
, vol.50
, pp. 311-313
-
-
Ley, E.1
-
20
-
-
0003038640
-
Note on the frequency of use of the different digits in natural numbers
-
S. Newcomb, Note on the frequency of use of the different digits in natural numbers, Amer. J. Math. 4 (1881), pp. 39-40.
-
(1881)
Amer. J. Math.
, vol.4
, pp. 39-40
-
-
Newcomb, S.1
-
21
-
-
0003831421
-
-
Cambridge University Press
-
K. Petersen, Ergodic Theory, Cambridge University Press, 1983.
-
(1983)
Ergodic Theory
-
-
Petersen, K.1
-
22
-
-
0001779250
-
Almost sure invariance principles for partial sums of weakly dependent random variables
-
W. Philipp and W.F. Stout, Almost sure invariance principles for partial sums of weakly dependent random variables, Mem. Amer. Math. Soc. 161 (1975).
-
(1975)
Mem. Amer. Math. Soc.
, vol.161
-
-
Philipp, W.1
Stout, W.F.2
-
23
-
-
0037611243
-
The first digit problem
-
R. Raimi, The first digit problem, Amer. Math. Monthly 102 (1976), pp. 322-327.
-
(1976)
Amer. Math. Monthly
, vol.102
, pp. 322-327
-
-
Raimi, R.1
-
24
-
-
0039340359
-
On H∞-summability and the uniform distribution of sequences
-
P. Schatte, On H∞-summability and the uniform distribution of sequences, Math. Nachr. 113 (1983), pp. 237-243.
-
(1983)
Math. Nachr.
, vol.113
, pp. 237-243
-
-
Schatte, P.1
-
25
-
-
0010075497
-
On mantissa distributions in computing and Benford's law
-
P. Schatte, On mantissa distributions in computing and Benford's law, J. Inform. Process. Cybern. 24 (1998), pp. 443-455.
-
(1998)
J. Inform. Process. Cybern.
, vol.24
, pp. 443-455
-
-
Schatte, P.1
-
26
-
-
0035418924
-
Stochastic aspects of one-dimensional discrete dynamical systems: Benford's law
-
M. Snyder, J. Curry, and A. Dougherty, Stochastic aspects of one-dimensional discrete dynamical systems: Benford's law, Phys. Rev. E 64 (2001), pp. 1-5.
-
(2001)
Phys. Rev. E
, vol.64
, pp. 1-5
-
-
Snyder, M.1
Curry, J.2
Dougherty, A.3
-
27
-
-
0034195340
-
Do dynamical systems follow Benford's law?
-
C. Tolle, J. Budzien, and R. LaViolette, Do dynamical systems follow Benford's law?, Chaos 10 (2000), pp. 331-337.
-
(2000)
Chaos
, vol.10
, pp. 331-337
-
-
Tolle, C.1
Budzien, J.2
la Violette, R.3
-
28
-
-
17644434420
-
S-unimodal Misiurewicz maps with flat critical points
-
R. Zweimüller, S-unimodal Misiurewicz maps with flat critical points, Fund. Math. 181 (2004), pp. 1-25.
-
(2004)
Fund. Math.
, vol.181
, pp. 1-25
-
-
Zweimüller, R.1
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