-
1
-
-
0003037199
-
Measures of Statistical Complexity: Why?
-
Feldman, D.F.; Crutchfield, J.P. Measures of Statistical Complexity: Why? Phys. Lett. A 1998, 238, 244-252.
-
(1998)
Phys. Lett. A
, vol.238
, pp. 244-252
-
-
Feldman, D.F.1
Crutchfield, J.P.2
-
2
-
-
0001450585
-
A new metric invariant of transitive dynamical systems and of automorphism of Lebesgue spaces
-
Kolmogorov, A.N.. A new metric invariant of transitive dynamical systems and of automorphism of Lebesgue spaces. Doklady Akademii Nauk SSSR 1958, 119, 861-864.
-
(1958)
Doklady Akademii Nauk SSSR
, vol.119
, pp. 861-864
-
-
Kolmogorov, A.N.1
-
3
-
-
33751211643
-
Entropic Dynamics
-
Bayesian Inference and Maximum Entropy Methods in Science and Engineering, the 22nd International Workshop on Bayesian Inference and Maximum Entropy Methods in Science and Engineering, Moscow, Idaho, 3-7 August 2002; Fry, R.L., Ed.; American Institute of Physics: College Park, MD, USA
-
Caticha, A. Entropic Dynamics. Bayesian Inference and Maximum Entropy Methods in Science and Engineering, the 22nd International Workshop on Bayesian Inference and Maximum Entropy Methods in Science and Engineering, Moscow, Idaho, 3-7 August 2002; Fry, R.L., Ed.; American Institute of Physics: College Park, MD, USA, 2002; Volume 617, p. 302.
-
(2002)
, vol.617
, pp. 302
-
-
Caticha, A.1
-
4
-
-
37649032457
-
Maximum entropy and Bayesian data analysis: Entropic prior distributions
-
Caticha, A.; Preuss, R.. Maximum entropy and Bayesian data analysis: Entropic prior distributions. Phys. Rev. E 2004, 70, 046127.
-
(2004)
Phys. Rev. E
, vol.70
, pp. 046127
-
-
Caticha, A.1
Preuss, R.2
-
5
-
-
0003530945
-
Methods of Information Geometry
-
Oxford University Press: New York, NY, USA
-
Amari, S.; Nagaoka, H. Methods of Information Geometry; Oxford University Press: New York, NY, USA, 2000.
-
(2000)
-
-
Amari, S.1
Nagaoka, H.2
-
6
-
-
67349277118
-
Works on an information geometrodynamical approach to chaos
-
Cafaro, C.. Works on an information geometrodynamical approach to chaos. Chaos Solitons Fractals 2009, 41, 886-891.
-
(2009)
Chaos Solitons Fractals
, vol.41
, pp. 886-891
-
-
Cafaro, C.1
-
7
-
-
36248959545
-
Geometry and Topology in Hamiltonian Dynamics and Statistical Mechanics
-
Springer-Verlag: Berlin/Heidelberg, Germany
-
Pettini, M. Geometry and Topology in Hamiltonian Dynamics and Statistical Mechanics; Springer-Verlag: Berlin/Heidelberg, Germany, 2007.
-
(2007)
-
-
Pettini, M.1
-
8
-
-
77953137238
-
Microscopic Dynamics and Macroscopic Laws
-
Lebowitz, J.L.. Microscopic Dynamics and Macroscopic Laws. Ann. N. Y. Acad. Sci. 1981, 373, 220-233.
-
(1981)
Ann. N. Y. Acad. Sci.
, vol.373
, pp. 220-233
-
-
Lebowitz, J.L.1
-
9
-
-
0000795006
-
Noiseless Collective Motion out of Noisy Chaos
-
doi
-
Shibata, T.; Chawanya, T.; Chawanya, K.. Noiseless Collective Motion out of Noisy Chaos. Phys. Rev. Lett. 1999, 82, doi: http://dx.doi.org/10.1103/PhysRevLett.82.4424.
-
(1999)
Phys. Rev. Lett.
, vol.82
-
-
Shibata, T.1
Chawanya, T.2
Chawanya, K.3
-
10
-
-
77953128348
-
The effect of the microscopic correlations on the information geometric complexity of Gaussian statistical models
-
Ali, S.A.; Cafaro, C.; Kim, D.-H.; Mancini, S.. The effect of the microscopic correlations on the information geometric complexity of Gaussian statistical models. Physica A 2010, 389, 3117-3127.
-
(2010)
Physica A
, vol.389
, pp. 3117-3127
-
-
Ali, S.A.1
Cafaro, C.2
Kim, D.-H.3
Mancini, S.4
-
11
-
-
0003705766
-
Geometrical Frustration
-
Cambridge University Press: Cambridge, UK
-
Sadoc, J.F.; Mosseri, R. Geometrical Frustration; Cambridge University Press: Cambridge, UK, 2006.
-
(2006)
-
-
Sadoc, J.F.1
Mosseri, R.2
-
12
-
-
0003578434
-
Riemannian Manifolds: An Introduction to Curvature
-
Springer: New York, NY, USA
-
Lee, J.M. Riemannian Manifolds: An Introduction to Curvature; Springer: New York, NY, USA, 1997.
-
(1997)
-
-
Lee, J.M.1
-
13
-
-
0003418183
-
Riemannian Geometry
-
Springer: New York, NY, USA
-
Do Carmo, M.P. Riemannian Geometry; Springer: New York, NY, USA, 1992.
-
(1992)
-
-
Do Carmo, M.P.1
-
14
-
-
34548240536
-
Jacobi fields on statistical manifolds of negative curvature
-
Cafaro, C.; Ali, S.A.. Jacobi fields on statistical manifolds of negative curvature. Physica D 2007, 234, 70-80.
-
(2007)
Physica D
, vol.234
, pp. 70-80
-
-
Cafaro, C.1
Ali, S.A.2
-
15
-
-
78049306472
-
Reexamination of an information geometric construction of entropic indicators of complexity
-
Cafaro, C.; Giffin, A.; Ali, S.A.; Kim, D.-H.. Reexamination of an information geometric construction of entropic indicators of complexity. Appl. Math. Comput. 2010, 217, 2944-2951.
-
(2010)
Appl. Math. Comput.
, vol.217
, pp. 2944-2951
-
-
Cafaro, C.1
Giffin, A.2
Ali, S.A.3
Kim, D.-H.4
-
16
-
-
79951508730
-
Quantifying the complexity of geodesic paths on curved statistical manifolds through information geometric entropies and Jacobi fields
-
Cafaro, C.; Mancini, S.. Quantifying the complexity of geodesic paths on curved statistical manifolds through information geometric entropies and Jacobi fields. Physica D 2011, 240, 607-618.
-
(2011)
Physica D
, vol.240
, pp. 607-618
-
-
Cafaro, C.1
Mancini, S.2
-
17
-
-
84901763114
-
Quantifying Networks Complexity from Information Geometry Viewpoint
-
Felice, D.; Mancini, S.; Pettini, M.. Quantifying Networks Complexity from Information Geometry Viewpoint. J. Math. Phys. 2014, 55, 043505.
-
(2014)
J. Math. Phys.
, vol.55
, pp. 043505
-
-
Felice, D.1
Mancini, S.2
Pettini, M.3
-
19
-
-
0004272772
-
Information Theory, Inference, and Learning Algorithms
-
Cambridge University Press: Cambridge, UK
-
MacKay, D.J.C. Information Theory, Inference, and Learning Algorithms; Cambridge University Press: Cambridge, UK, 2003.
-
(2003)
-
-
MacKay, D.J.C.1
-
20
-
-
8644282479
-
The complexity of the trajectories of a dynamical system
-
Brudno, A.A.. The complexity of the trajectories of a dynamical system. Uspekhi Mat. Nauk 1978, 33, 207-208.
-
(1978)
Uspekhi Mat. Nauk
, vol.33
, pp. 207-208
-
-
Brudno, A.A.1
-
21
-
-
49049151403
-
Symbolic dynamics and hyperbolic dynamic systems
-
Alekseev, V.M.; Yacobson, M.V.. Symbolic dynamics and hyperbolic dynamic systems. Phys. Rep. 1981, 75, 290-325.
-
(1981)
Phys. Rep.
, vol.75
, pp. 290-325
-
-
Alekseev, V.M.1
Yacobson, M.V.2
-
22
-
-
0034633630
-
Counting probability distributions: differential geometry and model selection
-
Myung, J.; Balasubramanian, V.; Pitt, M.A.. Counting probability distributions: differential geometry and model selection. Proc. Natl. Acad. Sci. USA 2000, 97, 11170.
-
(2000)
Proc. Natl. Acad. Sci. USA
, vol.97
, pp. 11170
-
-
Myung, J.1
Balasubramanian, V.2
Pitt, M.A.3
-
23
-
-
33751220330
-
The volume of bitnets
-
Rodriguez, C.C.. The volume of bitnets. AIP Conf. Proc. 2004, 735, 555-564.
-
(2004)
AIP Conf. Proc.
, vol.735
, pp. 555-564
-
-
Rodriguez, C.C.1
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