Self-organized criticality, critical systems, power laws

Arthur Matsuo Yamashita Rios de Sousa, Didier Sornette, Hideki Takayasu and Misako Takayasu, Sigma-Pi Structure with Bernoulli Random Variables: Entropy 23, 241, pp. 1-18 (2021) external pagehttps://doi.org/10.3390/e23020241

Damian Smug, Didier Sornette and Peter Ashwin, A generalized 2D-dynamical mean-field Ising model with a rich set of bifurcations, Int. J. of Bifurcation and Chaos 28 (4), 1830010 (14 pages) (2018)
(external pagehttp://ssrn.com/abstract=3064673)

S. Lera and D. Sornette, Quantification of the evolution of firm size distributions due to mergers and acquisitions, PLoS ONE 12(8): e0183627. external pagehttps://doi.org/10.1371/journal.pone.0183627 (2017)
(external pagehttp://ssrn.com/abstract=2798540)

Malte Schröder, Nuno A.M. Araújo, Didier Sornette and Jan Nagler, Controlling percolation with limited resources, Phys. Rev. E 96, 062302 (2017) (external pagehttp://arxiv.org/abs/1704.07613)

D. Sornette, T. Maillart and G. Ghezzi, How Much is the Whole Really More than the Sum of its Parts? 1 + 1 = 2.5: Superlinear Productivity in Collective Group Actions, PLoS ONE (submitted 12 May 2014)
external page(http://arxiv.org/abs/1405.4298)

Y. Malevergne, A. Saichev and D. Sornette, Zipfs law and maximum sustainable growth, Journal of Economic Dynamics and Control 37 (6), 1195-1212 (2013)
(external pagehttp://ssrn.com/abstract=1083962 and external pagehttp://arxiv.org/abs/1012.0199)

Ryohei Hisano and Didier Sornette, Challenges to the Assessment of Time-to-Proof of Mathematical Conjectures, The Mathematical Intelligencer 35 (4), 10-17 (2013)
external page(http://arxiv.org/abs/1202.3936)

D. Sornette, T. Maillart and W. Kroeger, Exploring the limits of safety analysis in complex technological systems, International Journal of Disaster Risk Reduction 6, 59-66 (2013)
external page(http://arxiv.org/abs/1207.5674)

V.I. Yukalov, E.P. Yukalova and D. Sornette, Extreme events in population dynamics with functional carrying capacity, European Physical Journal, Special Topics 205, 313-354 (2012) (special issue on power laws and dragon kings)
(external pagehttp://arxiv.org/abs/1205.1367 and external pagehttp://ssrn.com/abstract=2053196)

V.A. Filimonov and D. Sornette, Self-Excited Multifractal Dynamics, Europhysics Letters 94, 46003 (2011) doi:10.1209/0295-5075/94/46003
external page(http://arxiv.org/abs/1008.1430)

G. Harras, C. Tessone and D. Sornette, Noise-induced volatility of collective dynamics, Phys. Rev. E 85, 011150 (2012)
external page(http://arxiv.org/abs/1004.2149)

Wolfgang Amann, Cuno Pümpin, Didier Sornette, How power laws may shape the face of corporate strategy, Critical Eye 17, 21-26 (2008)
external page(http://criticaleye.net/)

A. Saichev, Y. Malevergne and D. Sornette, Theory of Zipf's Law and of General Power Law Distributions with Gibrat's Law of Proportional Growth, Lecture Notes in Economics and Mathematical Systems, Springer (2008)
external page(http://www.springer.com/series/300)
external page(summary at http://arXiv.org/abs/0808.1828)

D. Sornette, Probability Distributions in Complex Systems, Core article for the Encyclopedia of Complexity and System Science (Springer Science) (2009),
Editor-in-chief: R.A. Meyers, 10370 p. 4300 illus., in 11 volumes, ISBN:978-0-387-75888-6
external page(http://arxiv.org/abs/0707.2194)

D. Sornette, Nurturing Breakthroughs: Lessons from Complexity Theory, Journal of Economic Interaction and Coordination 3, 165-181 (2008), DOI: 10.1007/s11403-008-0040-8\\paper derived from the invited talk at the workshop Trans-disciplinary Research Agenda for Societal Dynamics (http://www.uni-lj.si/trasd in Ljubljana), organized by J. Rogers Hollingsworth, Karl H. Mueller, Ivan Svetlik, 24-25 May 2007, Ljubljana, Slovenia
external page(http://arxiv.org/abs/0706.1839)

W.-X. Zhou, D. Sornette, R.A. Hill and R.I.M. Dunbar, Discrete Hierarchical Organization of Social Group Sizes, Proc. Royal Soc. London 272, 439-444 (2005)
external page(http://arXiv.org/abs/cond-mat/0403299)
(covered in 'Sueddeutsche Zeitung', one of Germany's main newspapers, and 'Science' in "Too many friends?'', external page(http://sciencenow.sciencemag.org/cgi/content/full/2005/217/1)

V.F. Pisarenko and D. Sornette, Statistical detection and characterization of a deviation from the Gutenberg-Richter distribution above magnitude 8, Pure and Applied Geophysics 161 (4), 839-864 (2004)
external page(http://arXiv.org/abs/cond-mat/0201552)

V.F. Pisarenko and D. Sornette, Characterization of the frequency of extreme events by the Generalized Pareto Distribution, Pure and Applied Geophysics 160 (12), 2343-2364 (2003)
external page(http://arXiv.org/abs/cond-mat/0011168)

D. Sornette, Seeking a shortcut to universal wisdom, Physics World 15 (1), 50-51 (2002)

S. Gluzman and D. Sornette, Classification of Possible Finite-Time Singularities by Functional Renormalization, art. no. 016134, Physical Review E 6601 N1 PT2:U315-U328 (2002)
external page(http://arXiv.org/abs/cond-mat/0111181)

D. Sornette, Mechanism for Powerlaws without Self-Organization, Int. J. Mod. Phys. C 13 (2), 133-136 (2002)
external page(http://arXiv.org/abs/cond-mat/0110426)

D. Sornette, Complexity, catastrophe and physics, Physics World 12 (N12), 57-57, Dec. (1999)
external page(http://physicsweb.org/article/world/12/12/10)

P. Jogi and D. Sornette, Self-organized critical random directed polymers, Phys. Rev. E 57, 6931-6943 (1998)
external page(http://xxx.lanl.gov/abs/cond-mat/9801326)

Jean Laherrere and Didier Sornette, Stretched exponential distributions in Nature and Economy: "Fat tails'' with characteristic scales, European Physical Journal B 2, 525-539 (1998)
external page(http://xxx.lanl.gov/abs/cond-mat/9801293)

Kwan-tai Leung, Jorgen Vitting Andersen and Didier Sornette, Self-organized criticality in stick-slip models with periodic boundaries, Phys. Rev. Lett. 80, 1916-1919 (1998)
external page(http://xxx.lanl.gov/abs/cond-mat/9704153)

D. Sornette, Multiplicative processes and power laws, Phys. Rev. E 57, 4811-4813 (1998)
external page(http://xxx.lanl.gov/abs/cond-mat/9708231)

K.-T. Leung, J. Andersen and D. Sornette, Self-organized criticality in an isotropically driven model approaching equilibrium, Physica A 254, 85-96 (1998)

Y. Huang, H. Saleur, C. G. Sammis, D. Sornette, Precursors, aftershocks, criticality and self-organized criticality, Europhysics Letters 41, 43-48 (1998)
external page(http://xxx.lanl.gov/abs/cond-mat/9612065)

D. Sornette, Linear stochastic dynamics with nonlinear fractal properties, Physica A 250, 295-314 (1998)
external page(http://xxx.lanl.gov/abs/cond-mat/9709101)

U. Frisch and D. Sornette, Extreme deviations and applications, J. Phys. I France 7, 1155-1171 (1997)
external page(http://xxx.lanl.gov/abs/cond-mat/9705132)

H.-J. Xu and D. Sornette, Non-Boltzmann fluctuations in numerical simulations of nonequilibrium lattice threshold systems, Phys. Res. Lett. 78, 3797 (1997)

D. Sornette and R. Cont, Convergent multiplicative processes repelled from zero: power laws and truncated power laws, J. Phys. I France 7, 431-444 (1997)
external page(http://xxx.lanl.gov/abs/cond-mat/9609074)