-
1
-
-
18344379280
-
A simple measure of complexity
-
R. Landauer A simple measure of complexity Nature 336 1988 306
-
(1988)
Nature
, vol.336
, pp. 306
-
-
Landauer, R.1
-
2
-
-
0002522569
-
What is complexity?
-
M. Gell-Mann What is complexity? Complexity 1 1995 1
-
(1995)
Complexity
, vol.1
, pp. 1
-
-
Gell-Mann, M.1
-
3
-
-
0003037199
-
Measures of statistical complexity: Why?
-
D.P. Feldman, and J.P. Crutchfield Measures of statistical complexity: why? Phys. Lett. A238 1998 244
-
(1998)
Phys. Lett.
, vol.238
, pp. 244
-
-
Feldman, D.P.1
Crutchfield, J.P.2
-
4
-
-
0032397551
-
Complexities and their applications to characterization of chaos
-
M. Ohya Complexities and their applications to characterization of chaos Int. J. Theor. Phys. 37 1998 495
-
(1998)
Int. J. Theor. Phys.
, vol.37
, pp. 495
-
-
Ohya, M.1
-
5
-
-
62749139720
-
How complex is quantum motion?
-
G. Benenti, and G. Casati How complex is quantum motion? Phys. Rev. E79 2009 025201
-
(2009)
Phys. Rev.
, vol.79
, pp. 025201
-
-
Benenti, G.1
Casati, G.2
-
6
-
-
0020495993
-
Universality and complexity in cellular automata
-
S. Wolfram Universality and complexity in cellular automata Physica D10 1984 1
-
(1984)
Physica
, vol.10
, pp. 1
-
-
Wolfram, S.1
-
7
-
-
0006747191
-
Origin of randomness in physical systems
-
S. Wolfram Origin of randomness in physical systems Phys. Rev. Lett. 55 1985 449
-
(1985)
Phys. Rev. Lett.
, vol.55
, pp. 449
-
-
Wolfram, S.1
-
8
-
-
58149322557
-
Uncertainty, predictability and decidability in chaotic dynamical systems in chaotic dynamical systems
-
M. Rasetti Uncertainty, predictability and decidability in chaotic dynamical systems in chaotic dynamical systems Solitons Fractals 5 1995 133
-
(1995)
Solitons Fractals
, vol.5
, pp. 133
-
-
Rasetti, M.1
-
9
-
-
0001902056
-
Three approaches to the quantitative definition of information
-
A.N. Kolmogorov Three approaches to the quantitative definition of information Probl. Inf. Transm. (USSR) 1 1965 4
-
(1965)
Probl. Inf. Transm. (USSR)
, vol.1
, pp. 4
-
-
Kolmogorov, A.N.1
-
10
-
-
84937652953
-
Logical basis for information theory and probability theory
-
A.N. Kolmogorov Logical basis for information theory and probability theory IEEE Trans. Info. Theory IT14 1968 662
-
(1968)
IEEE Trans. Info. Theory
, vol.14
, pp. 662
-
-
Kolmogorov, A.N.1
-
12
-
-
0000340279
-
Entropy and the complexity of trajectories of a dynamical system
-
A.A. Brudno Entropy and the complexity of trajectories of a dynamical system Trans. Mosc. Math. Soc. 2 1983 127
-
(1983)
Trans. Mosc. Math. Soc.
, vol.2
, pp. 127
-
-
Brudno, A.A.1
-
13
-
-
0034558067
-
On the relation between entropy and the average complexity of trajectories in dynamical systems
-
F. Blume On the relation between entropy and the average complexity of trajectories in dynamical systems Comp. Complex. 9 2000 146
-
(2000)
Comp. Complex.
, vol.9
, pp. 146
-
-
Blume, F.1
-
14
-
-
0001530590
-
Characterization of chaos and complexity by properties of dynamical entropies
-
P. Szepfalusy Characterization of chaos and complexity by properties of dynamical entropies Phys. Scr. T25 1989 226
-
(1989)
Phys. Scr.
, vol.25
, pp. 226
-
-
Szepfalusy, P.1
-
15
-
-
5844266551
-
General properties of entropy
-
A. Wehrl General properties of entropy Rev. Mod. Phys. 50 1978 221
-
(1978)
Rev. Mod. Phys.
, vol.50
, pp. 221
-
-
Wehrl, A.1
-
17
-
-
29444453221
-
Complexity as thermodynamic depth
-
S. Lloyd, and H. Pagels Complexity as thermodynamic depth Ann. Phys. 188 1988 186
-
(1988)
Ann. Phys.
, vol.188
, pp. 186
-
-
Lloyd, S.1
Pagels, H.2
-
19
-
-
0000318553
-
Stochastic complexity and modeling
-
J. Rissanen Stochastic complexity and modeling Ann. Stat. 14 1986 1080
-
(1986)
Ann. Stat.
, vol.14
, pp. 1080
-
-
Rissanen, J.1
-
21
-
-
79955860878
-
From inference to physics, in bayesian inference and maximum entropy methods in science and engineering
-
A. Caticha From inference to physics, in bayesian inference and maximum entropy methods in science and engineering AIP Conf. Proc. 1073 2008 23
-
(2008)
AIP Conf. Proc.
, vol.1073
, pp. 23
-
-
Caticha, A.1
-
22
-
-
0002282678
-
Probability, frequency, and reasonable expectation
-
R.T. Cox Probability, frequency, and reasonable expectation Am. J. Phys. 17 1946 1
-
(1946)
Am. J. Phys.
, vol.17
, pp. 1
-
-
Cox, R.T.1
-
25
-
-
0003355631
-
Differential-geometrical methods in statistics
-
Springer-Verlag
-
S. Amari Differential-geometrical methods in statistics Lecture Notes in Statistics vol. 28 1985 Springer-Verlag
-
(1985)
Lecture Notes in Statistics
, vol.28
-
-
Amari, S.1
-
27
-
-
37649032457
-
Maximum entropy and Bayesian data analysis: Entropic prior distributions
-
A. Caticha, and R. Preuss Maximum entropy and Bayesian data analysis: entropic prior distributions Phys. Rev. E70 2004 046127
-
(2004)
Phys. Rev.
, vol.70
, pp. 046127
-
-
Caticha, A.1
Preuss, R.2
-
31
-
-
33845657488
-
Updating Probabilities
-
Ali Mohammad-Djafari, (Ed.)
-
A. Caticha, A. Giffin, Updating Probabilities, in: Ali Mohammad-Djafari, (Ed.), Bayesian Inference and Maximum Entropy Methods in Science and Engineering, AIP Conference Proceedings, 872, 2006, p. 31.
-
(2006)
Bayesian Inference and Maximum Entropy Methods in Science and Engineering, AIP Conference Proceedings
, vol.872
, pp. 31
-
-
Caticha, A.1
Giffin, A.2
-
32
-
-
50949110196
-
Information geometry, inference methods and chaotic energy levels statistics
-
C. Cafaro Information geometry, inference methods and chaotic energy levels statistics Mod. Phys. Lett. B22 2008 1879
-
(2008)
Mod. Phys. Lett.
, vol.22
, pp. 1879
-
-
Cafaro, C.1
-
33
-
-
53749102138
-
Can chaotic quantum energy levels statistics be characterized using information geometry and inference methods?
-
C. Cafaro, and S.A. Ali Can chaotic quantum energy levels statistics be characterized using information geometry and inference methods? Physica A387 2008 6876
-
(2008)
Physica
, vol.387
, pp. 6876
-
-
Cafaro, C.1
Ali, S.A.2
-
34
-
-
53549132247
-
Information-geometric indicators of chaos in Gaussian models on statistical manifolds of negative Ricci curvature
-
C. Cafaro Information-geometric indicators of chaos in Gaussian models on statistical manifolds of negative Ricci curvature Int. J. Theor. Phys. 47 2008 2924
-
(2008)
Int. J. Theor. Phys.
, vol.47
, pp. 2924
-
-
Cafaro, C.1
-
35
-
-
34548240536
-
Jacobi fields on statistical manifolds of negative curvature
-
C. Cafaro, and S.A. Ali Jacobi fields on statistical manifolds of negative curvature Physica D234 2007 70
-
(2007)
Physica
, vol.234
, pp. 70
-
-
Cafaro, C.1
Ali, S.A.2
-
36
-
-
84879722686
-
Geometrodynamics of information on curved statistical manifolds and its applications to chaos
-
C. Cafaro, and S.A. Ali Geometrodynamics of information on curved statistical manifolds and its applications to chaos EJTP 5 2008 139
-
(2008)
EJTP
, vol.5
, pp. 139
-
-
Cafaro, C.1
Ali, S.A.2
-
37
-
-
67349277118
-
Works on an information geometrodynamical approach to chaos
-
C. Cafaro Works on an information geometrodynamical approach to chaos Chaos, Solitons Fractals 41 2009 886
-
(2009)
Chaos, Solitons Fractals
, vol.41
, pp. 886
-
-
Cafaro, C.1
-
39
-
-
77953128348
-
The effect of microscopic correlations on the information geometric complexity of gaussian statistical models
-
S.A. Ali, C. Cafaro, D.-H. Kim, and S. Mancini The effect of microscopic correlations on the information geometric complexity of gaussian statistical models Physica A389 2010 3117
-
(2010)
Physica
, vol.389
, pp. 3117
-
-
Ali, S.A.1
Cafaro, C.2
Kim, D.-H.3
Mancini, S.4
-
40
-
-
85035223464
-
Riemannian theory of Hamiltonian chaos and Lyapunov exponents
-
L. Casetti Riemannian theory of Hamiltonian chaos and Lyapunov exponents Phys. Rev. E54 5969 1996 5984
-
(1996)
Phys. Rev. E54
, vol.5969
, pp. 5984
-
-
Casetti, L.1
-
41
-
-
0042027189
-
Geometry and chaos on Riemann and Finsler manifolds
-
M. Di Bari, and P. Cipriani Geometry and chaos on Riemann and Finsler manifolds Planet. Space Sci. 46 1998 1543
-
(1998)
Planet. Space Sci.
, vol.46
, pp. 1543
-
-
Di Bari, M.1
Cipriani, P.2
-
43
-
-
41349096046
-
Indicator of chaos based on the Riemannian geometric approach
-
T. Kawabe Indicator of chaos based on the Riemannian geometric approach Phys. Rev. E71 2005 017201
-
(2005)
Phys. Rev.
, vol.71
, pp. 017201
-
-
Kawabe, T.1
-
45
-
-
0001915002
-
Information and accuracy attainable in the estimation of statistical parameters
-
C.R. Rao Information and accuracy attainable in the estimation of statistical parameters Bull. Calcutta Math. Soc. 37 1945 81
-
(1945)
Bull. Calcutta Math. Soc.
, vol.37
, pp. 81
-
-
Rao, C.R.1
-
47
-
-
33244455153
-
Statistical decision rules and optimal inference
-
American Mathematical Society Providence-RI
-
N.N. Cencov Statistical decision rules and optimal inference Translations in Mathematical Monographs 53 1981 American Mathematical Society Providence-RI
-
(1981)
Translations in Mathematical Monographs
, vol.53
-
-
Cencov, N.N.1
-
48
-
-
84968505420
-
An extended Cencov characterization of the information metric
-
L.L. Campbell An extended Cencov characterization of the information metric Proc. Amer. Math. Soc. 98 1986 135
-
(1986)
Proc. Amer. Math. Soc.
, vol.98
, pp. 135
-
-
Campbell, L.L.1
-
49
-
-
71449109884
-
From information geometry to Newtonian dynamics
-
Bayesian Inference and Maximum Entropy Methods in Science and Engineering
-
A. Caticha, and C. Cafaro From information geometry to Newtonian dynamics K. Knuth, Bayesian Inference and Maximum Entropy Methods in Science and Engineering AIP Conf. Proc. 954 2007 165
-
(2007)
AIP Conf. Proc.
, vol.954
, pp. 165
-
-
Caticha, A.1
Cafaro, C.2
-
50
-
-
0242354999
-
Geometric and physical interpretation of fractional integration and fractional differentiation
-
I. Podlubny Geometric and physical interpretation of fractional integration and fractional differentiation Fract. Calc. Appl. Anal. 5 2002 137
-
(2002)
Fract. Calc. Appl. Anal.
, vol.5
, pp. 137
-
-
Podlubny, I.1
-
51
-
-
85028851214
-
Unpredictability, Information and Chaos
-
C.M. Caves, R. Schack, Unpredictability, Information, and Chaos, Complexity, 3(1), 46, 1997.
-
(1997)
Complexity
, vol.3
, Issue.1
, pp. 46
-
-
Caves, C.M.1
Schack, R.2
-
53
-
-
0012372705
-
Predictability in systems with many characteristic times: The case of turbulence
-
E. Aurell Predictability in systems with many characteristic times: the case of turbulence Phys. Rev. E 53 1996 2337
-
(1996)
Phys. Rev. e
, vol.53
, pp. 2337
-
-
Aurell, E.1
-
54
-
-
0000651768
-
Thermodynamic depth of causal states: Objective complexity via minimal representations
-
J.P. Crutchfield, and C.R. Shalizi Thermodynamic depth of causal states: objective complexity via minimal representations Phys. Rev. E59 1999 275
-
(1999)
Phys. Rev.
, vol.59
, pp. 275
-
-
Crutchfield, J.P.1
Shalizi, C.R.2
|