Concepts and techniques

Donnacha Daly and Didier Sornette, The Altes Family of Log-Periodic Chirplets and the Hyperbolic Chirplet Transform, Symmetry 13, 1922 (external pagehttps://doi.org/10.3390/sym13101922) (2021) (external pagehttp://arxiv.org/abs/1803.02695)

Yong Tao, Didier Sornette and Li Lin, Emerging social brain: a collective self-motivated Boltzmann machine, Chaos, Solitons and Fractals (the interdisciplinary journal of Nonlinear Science, and Nonequilibrium and Complex Phenomena) 143, 110543 (2021)

T Eliassi-Rad, H Farrell, D Garcia, S Lewandowsky, P Palacios, D Ross, D Sornette, K Thébault and K Wiesner, What science can do for democracy -- A complexity science approach,Humanities & Social Sciences Communications 7:30, external pagehttps://doi.org/10.1057/s41599-020-0518-0 (2020)

Didier Sornette, Spencer Wheatley and Peter Cauwels,
The fair reward problem: the illusion of success and how to solve it,
Advances in Complex Systems 22 (3), 1950005 (52 pages) (2019)
(external pagehttp://arxiv.org/abs/1902.04940 and external pagehttp://ssrn.com/abstract=3377177)

Sandro Lera and Didier Sornette
A Theory of Discrete Hierarchies as Optimal Cost-Adjusted Productivity Organisations,PLoS ONE 14(4): e0214911 (external pagehttps://doi.org/10.1371/journal.pone.0214911)

K. Wiesner, A. Birdi, T. Eliassi-Rad, H. Farrell, D. Garcia, S. Lewandowsky,  P. Palacios, D. Ross, D. Sornette and K. Thébault,
Stability of democracies -- A complex systems perspective, European Journal of Physics 40,  014002 (2019), (17pp)
(https://doi.org/10.1088/1361-6404/aaeb4d)
EJP: external pagehttp://iopscience.iop.org/article/10.1088/1361-6404/aaeb4d   University of Bristol: external pagehttp://www.bristol.ac.uk/news/2018/november/complex-systems-theory-.html

Arthur Matsuo Yamashita Rios de Sousa, Hideki Takayasu, Didier Sornette, Misako Takayasu, Power-Law Distributions from Sigma-Pi Structure of Sums of Random Multiplicative Processes, Entropy 19, 417; doi:10.3390/e19080417, pp. 1-13 (2017)

V.I. Yukalov, E.P. Yukalova and D. Sornette, New approach to modeling symbiosis in biological and social systems, Int. J. Bifur. Chaos 24 (9), 1450117 (2014) (29 pages)
(external pagehttp://arxiv.org/abs/1408.0111 and external pagehttp://ssrn.com/abstract=2464516)

V.I. Yukalov,  E.P. Yukalova and D. Sornette,
Population dynamics with nonlinear delayed carrying capacity, International Journal of Bifurcation and Chaos 24 (2), 1450021 (23 pages) (2014)
external page(http://arxiv.org/abs/1403.2051 and external pagehttp://ssrn.com/abstract=2406352)

Peter Cauwels, Nicola Pestalozzi and Didier Sornette, Dynamics and Spatial Distribution of Global Nighttime Lights, EPJ Data Science 3:2, 10.1186/epjds19 (2014) external page(http://www.epjdatascience.com/content/3/1/2)
external page(http://arxiv.org/abs/1303.2901 and  external pagehttp://ssrn.com/abstract=2237410)

V.I. Yukalov, E.P. Yukalova, and D. Sornette, Utility Rate Equations of Group Population Dynamics in Biological and Social Systems, PLoS ONE 8 (12): e83225. doi: 10.1371/journal.pone.0083225 (2013)
external page(http://arxiv.org/abs/1401.1321 and external pagehttp://ssrn.com/abstract=2186503)

Y. Kamer, G. Ouillon and D. Sornette, The Barycentric Fixed Mass Method for Multifractal Analysis, Physical Review E 88, 022922 (2013) external page(http://arxiv.org/abs/1305.7384)

Tatyana Kovalenko and Didier Sornette, Dynamical Diagnosis and Solutions for Resilient Natural and Social Systems, Planet@Risk 1 (1), 7-33 (2013) Davos, CH, Global Risk Forum (GRF) Davos
external page(http://arxiv.org/abs/1211.1949)

Ying-Hui Shao, Gao-Feng Gu, Zhi-Qiang Jiang, Wei-Xing Zhou and Didier Sornette. Comparing the performance of FA, DFA and DMA using different synthetic long-range correlated time series, Scientific Reports 2, 835; DOI:10.1038/srep00835 (2012) 
external page(http://arxiv.org/abs/1208.4158)

V.I. Yukalov. E.P. Yukalova and D. Sornette, Modeling symbiosis by interactions through species carrying capacities, Physica D 241, 1270-1289 (2012)
external page(http://arxiv.org/abs/1003.2092 and external pagehttp://ssrn.com/abstract=2079438)

D. Sornette and V. Pisarenko, On the Correct Use of Statistical Tests: Reply to "Lies, damned lies and statistics (in Geology)", EOS Transactions AGU, Vol. 92, No. 8, page 64, 22 February 2011 external page(http://arxiv.org/abs/1001.4158)
external pageSupplementary material

Y. Malevergne, V. Pisarenko and D. Sornette, Testing the Pareto against the lognormal distributions with the uniformly most powerful unbiased test applied to the distribution of cities, Physical Review E 83, 036111 (2011)
external page(http://arxiv.org/abs/0909.1281  

V.I. Yukalov, E.P. Yukalova and D. Sornette, Punctuated Evolution due to Delayed Carrying Capacity, Physica D 238, 1752-1767 (2009)
external page(http://arxiv.org/abs/0901.4714)

D. Sornette, A. B. Davis, J. R. Kamm, and K. Ide, A General Strategy for Physics-Based Model Validation Illustrated with Earthquake Phenomenology, Atmospheric Radiative Transfer, and Computational Fluid Dynamics, Book Series: Lecture Notes in Computational Science and Engineering, vol 62, Book Series: Computational Methods in Transport: Verification and Validation, F. Graziani and D. Swesty (Eds.), Springer-Verlag, New York (NY), 2008, pp. 19-73
external page(http://arxiv.org/abs/0710.0317)

Wei-Xing Zhou, Zhi-Qiang Jiang and Didier Sornette, Exploring self-similarity of complex cellular networks: The edge-covering method with simulated annealing and log-periodic sampling, Physica A 375, 741-752 (2007)
external page(http://arxiv.org/abs/cond-mat/0605676)

D. Sornette, A. B. Davis, K. Ide, K. R. Vixie, V. Pisarenko, and J. R. Kamm, Algorithm for Model Validation: Theory and Implementation, Proc. Nat. Acad. Sci. USA 104 (16), 6562-6567 (2007)
external page(http://arxiv.org/abs/physics/0511219)

S. Gluzman and D. Sornette, Self-similar Approximants of the Permeability in Heterogeneous Porous Media from Moment Equation Expansions, Transport in Porous Media, DOI: 10.1007/s11242-007-9112-9 (2007)
external page(http://arXiv.org/abs/cond-mat/0211565)

V. F. Pisarenko and D. Sornette, Statistical methods of parameter estimation for deterministically chaotic time series, Phys. Rev. E 69, 036122 (2004)
external page(http://arXiv.org/abs/physics/0308059)

V.I. Yukalov, S. Gluzman, and D. Sornette, Summation of Power Series by Self-Similar Factor Approximants, Physica A 328, 409-438 (2003)
external page(http://arXiv.org/abs/cond-mat/0302613)

S. Gluzman, V.I. Yukalov and D. Sornette, Self-Similar Factor Approximants, Physical Review E 67 (2), art. 026109, DOI: 10.1103/PhysRevE.67.026109 (2003)
external page(http://arXiv.org/abs/cond-mat/0208486)

S.Gluzman, D. Sornette and V.I. Yukalov, Reconstructing Generalized Exponential Laws by Self-Similar International Journal of Modern Physics C 14 (4), 509-528 (2003)
external page(http://arXiv.org/abs/cond-mat/0204326)

O'Brien, T.P., McPherron, R.L., D. Sornette, G.D. Reeves, R. Friedel, and H.J. Singer, Which Magnetic Storms Produce Relativistic Electrons at Geosynchronous Orbit?, J. Geophys. Res. (Space Physics), 106 (A8), 15,533-15,544 (2001)

T.P. O'Brien, D. Sornette and R.L. McPherron, Statistical Asynchronous Regression: Determining the Relationship Between two Quantities that are not Measured Simultaneously, J. Geophys. Res. (Space Physics) 106 (A7) 13,247-13,259 (2001)
external page(http://arXiv.org/abs/cond-mat/0005475)

D. Sornette and K. Ide, The Kalman-Levy filter, Physica D 151, 142-174 (2001)
external page(http://arXiv.org/abs/cond-mat/0004369)

U. Frisch and D. Sornette, Extreme deviations and applications, Proceedings of the conference "Science for Survival and Sustainable Development'', Pontificiae Academiae Scientarum Scripta Varia 98, MM (2000 in roman), pp. 327-349

P. Yiou, D. Sornette and M. Ghil, Data-Adaptive Wavelets and Multi-Scale Singular Spectrum Analysis, Physica D 142 N3-4:254-290 (2000)
external page(http://xxx.lanl.gov/abs/chao-dyn/9810034)

JavaScript has been disabled in your browser