Complex Critical Exponents from Renormalization Group Theory of Earthquakes: Implications for Earthquake Predictions
J. Phys. I France, 5 5 (1995) 607-619
Article cité par
La fonctionnalité Article cité par… liste les citations d'un article. Ces citations proviennent de la base de données des articles de EDP Sciences, ainsi que des bases de données d'autres éditeurs participant au programme CrossRef Cited-by Linking Program. Vous pouvez définir une alerte courriel pour être prévenu de la parution d'un nouvel article citant " cet article (voir sur la page du résumé de l'article le menu à droite).
Article cité :
Citations de cet article :
Développement humain et loi log-périodique
Roland Cash, Jean Chaline, Laurent Nottale and Pierre GrouComptes Rendus. Biologies 325 (5) 585 (2002)
https://doi.org/10.1016/S1631-0691(02)01468-3
The quantified histograms: detection of the hidden unsteadiness
R.R. NigmatullinPhysica A: Statistical Mechanics and its Applications 309 (1-2) 214 (2002)
https://doi.org/10.1016/S0378-4371(02)00578-2
Configurational entropy of critical earthquake populations
C. Goltz and M. BöseGeophysical Research Letters 29 (20) (2002)
https://doi.org/10.1029/2002GL015540
Earthquake Prediction: State-of-the-Art and Emerging Possibilities
Vladimir Keilis-BorokAnnual Review of Earth and Planetary Sciences 30 (1) 1 (2002)
https://doi.org/10.1146/annurev.earth.30.100301.083856
Earthquake Processes: Physical Modelling, Numerical Simulation and Data Analysis Part II
Dion Weatherley, Peter Mora and Meng Fen XiaEarthquake Processes: Physical Modelling, Numerical Simulation and Data Analysis Part II 2469 (2002)
https://doi.org/10.1007/978-3-0348-8197-5_15
Occurrence of Finite-Time Singularities in Epidemic Models of Rupture, Earthquakes, and Starquakes
D. Sornette and A. HelmstetterPhysical Review Letters 89 (15) (2002)
https://doi.org/10.1103/PhysRevLett.89.158501
Earthquake Processes: Physical Modelling, Numerical Simulation and Data Analysis Part II
Peter Mora and David PlaceEarthquake Processes: Physical Modelling, Numerical Simulation and Data Analysis Part II 2413 (2002)
https://doi.org/10.1007/978-3-0348-8197-5_13
Evidence of intermittent cascades from discrete hierarchical dissipation in turbulence
Wei-Xing Zhou and Didier SornettePhysica D: Nonlinear Phenomena 165 (1-2) 94 (2002)
https://doi.org/10.1016/S0167-2789(02)00390-1
Premonitory spreading of seismicity over the faults' network in southern California: Precursor Accord
I. Zaliapin, V. Keilis‐Borok and G. AxenJournal of Geophysical Research: Solid Earth 107 (B10) (2002)
https://doi.org/10.1029/2000JB000034
Fractals in Biology and Medicine
Laurent Nottale, Jean Chaline and Pierre GrouFractals in Biology and Medicine 247 (2002)
https://doi.org/10.1007/978-3-0348-8119-7_25
Earthquake Processes: Physical Modelling, Numerical Simulation and Data Analysis Part II
Yehuda Ben-Zion and Vladimir LyakhovskyEarthquake Processes: Physical Modelling, Numerical Simulation and Data Analysis Part II 2385 (2002)
https://doi.org/10.1007/978-3-0348-8197-5_12
Log-periodic route to fractal functions
S. Gluzman and D. SornettePhysical Review E 65 (3) 036142 (2002)
https://doi.org/10.1103/PhysRevE.65.036142
Generalized q analysis of log-periodicity: Applications to critical ruptures
Wei-Xing Zhou and Didier SornettePhysical Review E 66 (4) 046111 (2002)
https://doi.org/10.1103/PhysRevE.66.046111
Accelerating seismicity and stress accumulation before large earthquakes
David D. Bowman and Geoffrey C. P. KingGeophysical Research Letters 28 (21) 4039 (2001)
https://doi.org/10.1029/2001GL013022
Non-linear dynamics of the lithosphere and intermediate-term earthquake prediction
Vladimir Keilis-Borok, Alik Ismail-Zadeh, Vladimir Kossobokov and Peter ShebalinTectonophysics 338 (3-4) 247 (2001)
https://doi.org/10.1016/S0040-1951(01)00080-4
Self-consistent theory of rupture by progressive diffuse damage
S. Gluzman and D. SornettePhysical Review E 63 (6) 066129 (2001)
https://doi.org/10.1103/PhysRevE.63.066129
Remarks on the accelerated moment release model: problems of model formulation, simulation and estimation
David Vere-Jones, Russell Robinson and Wenzheng YangGeophysical Journal International 144 (3) 517 (2001)
https://doi.org/10.1046/j.1365-246x.2001.01348.x
Power law periodicity in the tangent bifurcations of the logistic map
Hugo L.D de S. Cavalcante, Giovani L Vasconcelos and José R Rios LeitePhysica A: Statistical Mechanics and its Applications 295 (1-2) 291 (2001)
https://doi.org/10.1016/S0378-4371(01)00090-5
Observation of growing correlation length as an indicator for critical point behavior prior to large earthquakes
Gert Zöller, Sebastian Hainzl and Jürgen KurthsJournal of Geophysical Research: Solid Earth 106 (B2) 2167 (2001)
https://doi.org/10.1029/2000JB900379
Possibility between earthquake and explosion seismogram differentiation by discrete stochastic non-Markov processes and local Hurst exponent analysis
Renat Yulmetyev, Fail Gafarov, Peter Hänggi, Raoul Nigmatullin and Shamil KayumovPhysical Review E 64 (6) 066132 (2001)
https://doi.org/10.1103/PhysRevE.64.066132
A proposed method for locating the critical region of a future earthquake using the critical earthquake concept
Wenzheng Yang, David Vere‐Jones and Li MaJournal of Geophysical Research: Solid Earth 106 (B3) 4121 (2001)
https://doi.org/10.1029/2000JB900311
Significance of Log-Periodic Precursors to Financial Crashes
Anders Johansen and Didier SornetteSSRN Electronic Journal (2001)
https://doi.org/10.2139/ssrn.274968
Stress transfer and seismicity changes before large earthquakes
David D Bowman and Geoffrey C.P KingComptes Rendus de l'Académie des Sciences - Series IIA - Earth and Planetary Science 333 (9) 591 (2001)
https://doi.org/10.1016/S1251-8050(01)01677-9
Omori law for sliding of blocks on inclined rough surfaces
E.J.R. Parteli, M.A.F. Gomes, E. Montarroyos and V.P. BritoPhysica A: Statistical Mechanics and its Applications 292 (1-4) 536 (2001)
https://doi.org/10.1016/S0378-4371(00)00629-4
An analysis of the process of acceleration of seismic energy emission in laboratory experiments on destruction of rocks and before strong earthquakes on Kamchatka and in Italy
R. Di Giovambattista and Yu.S. TyupkinTectonophysics 338 (3-4) 339 (2001)
https://doi.org/10.1016/S0040-1951(01)00088-9
Similarities of multiple fracturing on a neutron star and on the Earth
Vladimir Kossobokov, Vladimir Keilis-Borok and Baolian ChengPhysical Review E 61 (4) 3529 (2000)
https://doi.org/10.1103/PhysRevE.61.3529
Geocomplexity and the Physics of Earthquakes
Steven C. JauméGeophysical Monograph Series, Geocomplexity and the Physics of Earthquakes 120 199 (2000)
https://doi.org/10.1029/GM120p0199
A geodetic sign of the critical point of stress‐strain state at a plate boundary
George IgarashiGeophysical Research Letters 27 (13) 1973 (2000)
https://doi.org/10.1029/1999GL005443
Geocomplexity and the Physics of Earthquakes
P. Mora, D. Place, S. Abe and S. JauméGeophysical Monograph Series, Geocomplexity and the Physics of Earthquakes 120 105 (2000)
https://doi.org/10.1029/GM120p0105
Microscopic and Macroscopic Simulation: Towards Predictive Modelling of the Earthquake Process
John B. Rundle, William Klein, Donald L. Turcotte and Bruce D. MalamudMicroscopic and Macroscopic Simulation: Towards Predictive Modelling of the Earthquake Process 2165 (2000)
https://doi.org/10.1007/978-3-0348-7695-7_19
Microscopic and Macroscopic Simulation: Towards Predictive Modelling of the Earthquake Process
Michael E. WinterMicroscopic and Macroscopic Simulation: Towards Predictive Modelling of the Earthquake Process 2227 (2000)
https://doi.org/10.1007/978-3-0348-7695-7_22
Data-adaptive wavelets and multi-scale singular-spectrum analysis
Pascal Yiou, Didier Sornette and Michael GhilPhysica D: Nonlinear Phenomena 142 (3-4) 254 (2000)
https://doi.org/10.1016/S0167-2789(00)00045-2
Statistical physics of earthquakes: Comparison of distribution exponents for source area and potential energy and the dynamic emergence of log‐periodic energy quanta
Ian G. Main, Gareth O'Brien and Jeremy R. HendersonJournal of Geophysical Research: Solid Earth 105 (B3) 6105 (2000)
https://doi.org/10.1029/1999JB900396
Microscopic and Macroscopic Simulation: Towards Predictive Modelling of the Earthquake Process
Dion Weatherley, Steven C. Jaumé and Peter MoraMicroscopic and Macroscopic Simulation: Towards Predictive Modelling of the Earthquake Process 2183 (2000)
https://doi.org/10.1007/978-3-0348-7695-7_20
Reexamination of log periodicity observed in the seismic precursors of the 1989 Loma Prieta earthquake
Y. Huang, H. Saleur and D. SornetteJournal of Geophysical Research: Solid Earth 105 (B12) 28111 (2000)
https://doi.org/10.1029/2000JB900308
Microscopic and Macroscopic Simulation: Towards Predictive Modelling of the Earthquake Process
Steven C. Jaumé, Dion Weatherley and Peter MoraMicroscopic and Macroscopic Simulation: Towards Predictive Modelling of the Earthquake Process 2209 (2000)
https://doi.org/10.1007/978-3-0348-7695-7_21
The concept of 'critical earthquakes' applied to mine rockbursts with time-to-failure analysis
G. Ouillon and D. SornetteGeophysical Journal International 143 (2) 454 (2000)
https://doi.org/10.1046/j.1365-246X.2000.01257.x
Artifactual log‐periodicity in finite size data: Relevance for earthquake aftershocks
Y. Huang, A. Johansen, M. W. Lee, H. Saleur and D. SornetteJournal of Geophysical Research: Solid Earth 105 (B11) 25451 (2000)
https://doi.org/10.1029/2000JB900195
Stochastic theory of log-periodic patterns
Enrique CanessaJournal of Physics A: Mathematical and General 33 (50) 9131 (2000)
https://doi.org/10.1088/0305-4470/33/50/301
Critical transitions in colliding cascades
A. Gabrielov, V. Keilis-Borok, I. Zaliapin and W. NewmanPhysical Review E 62 (1) 237 (2000)
https://doi.org/10.1103/PhysRevE.62.237
Seismicity Patterns, their Statistical Significance and Physical Meaning
Steven C. Jaumé and Lynn R. SykesSeismicity Patterns, their Statistical Significance and Physical Meaning 279 (1999)
https://doi.org/10.1007/978-3-0348-8677-2_5
Seismicity acceleration model and its application to several earthquake regions in China
Wen-Zheng Yang and Li MaActa Seismologica Sinica 12 (1) 35 (1999)
https://doi.org/10.1007/s11589-999-0005-6
Earthquakes: from chemical alteration to mechanical rupture
Didier SornettePhysics Reports 313 (5) 237 (1999)
https://doi.org/10.1016/S0370-1573(98)00088-X
Time to failure of hierarchical load-transfer models of fracture
M. Vázquez-Prada, J. Gómez, Y. Moreno and A. PachecoPhysical Review E 60 (3) 2581 (1999)
https://doi.org/10.1103/PhysRevE.60.2581
Pattern formation during delamination and buckling of thin films
Kevin Crosby and R. BradleyPhysical Review E 59 (3) R2542 (1999)
https://doi.org/10.1103/PhysRevE.59.R2542
Intermediate-term earthquake prediction using the modified time-to-failure method in southern California
Daniel J. Brehm and Lawrence W. BraileBulletin of the Seismological Society of America 89 (1) 275 (1999)
https://doi.org/10.1785/BSSA0890010275
What comes next in the dynamics of lithosphere and earthquake prediction?
V.I Keilis-BorokPhysics of the Earth and Planetary Interiors 111 (3-4) 179 (1999)
https://doi.org/10.1016/S0031-9201(98)00171-X
Bounds for the time to failure of hierarchical systems of fracture
J. Gómez, M. Vázquez-Prada, Y. Moreno and A. PachecoPhysical Review E 59 (2) R1287 (1999)
https://doi.org/10.1103/PhysRevE.59.R1287
Ambient tectonic shear stress field in Southern California and seismic hazard regions
Pei-Shan Chen, Lei Xiao, Tong-Xia Bai and Jin ChengActa Seismologica Sinica 11 (2) 153 (1998)
https://doi.org/10.1007/s11589-998-0052-4
Parametric homogeneity and non-classical self-similarity. II. Some applications
F. M. BorodichActa Mechanica 131 (1-2) 47 (1998)
https://doi.org/10.1007/BF01178244
Evidence of Discrete Scale Invariance in DLA and Time-to-Failure by Canonical Averaging
A. Johansen and D. SornetteInternational Journal of Modern Physics C 09 (03) 433 (1998)
https://doi.org/10.1142/S0129183198000339
Non-linear and non-local transport processes in heterogeneous media: from long-range correlated percolation to fracture and materials breakdown
Muhammad SahimiPhysics Reports 306 (4-6) 213 (1998)
https://doi.org/10.1016/S0370-1573(98)00024-6
Advances in Turbulence VII
D. SornetteFluid Mechanics and Its Applications, Advances in Turbulence VII 46 251 (1998)
https://doi.org/10.1007/978-94-011-5118-4_62
Fine structure and complex exponents in power-law distributions from random maps
Per Jögi, Didier Sornette and Michael BlankPhysical Review E 57 (1) 120 (1998)
https://doi.org/10.1103/PhysRevE.57.120
Self-similar exponential approximants
V. Yukalov and S. GluzmanPhysical Review E 58 (2) 1359 (1998)
https://doi.org/10.1103/PhysRevE.58.1359
An observational test of the critical earthquake concept
D. D. Bowman, G. Ouillon, C. G. Sammis, A. Sornette and D. SornetteJournal of Geophysical Research: Solid Earth 103 (B10) 24359 (1998)
https://doi.org/10.1029/98JB00792
Linear stochastic dynamics with nonlinear fractal properties
Didier SornettePhysica A: Statistical Mechanics and its Applications 250 (1-4) 295 (1998)
https://doi.org/10.1016/S0378-4371(97)00543-8
The instrumental seismicity of the western Alps: spatio-temporal patterns analysed with the wavelet transform
Nicole Bethoux, Guy Ouillon and Marc NicolasGeophysical Journal International 135 (1) 177 (1998)
https://doi.org/10.1046/j.1365-246X.1998.00631.x
On the similarity methods in fracture mechanics
Ya-Pu ZhaoForschung im Ingenieurwesen 64 (10) 257 (1998)
https://doi.org/10.1007/PL00010840
Testing self‐organized criticality by induced seismicity
Jean‐Robert Grasso and Didier SornetteJournal of Geophysical Research: Solid Earth 103 (B12) 29965 (1998)
https://doi.org/10.1029/97JB01344
A hierarchical model of financial crashes
Didier Sornette and Anders JohansenPhysica A: Statistical Mechanics and its Applications 261 (3-4) 581 (1998)
https://doi.org/10.1016/S0378-4371(98)00433-6
Are earthquakes predictable?
Yan Y. KaganGeophysical Journal International 131 (3) 505 (1997)
https://doi.org/10.1111/j.1365-246X.1997.tb06595.x
Parametric-homogeneity and self-similar phenomena
Feodor M. BorodichNonlinear Analysis: Theory, Methods & Applications 30 (1) 409 (1997)
https://doi.org/10.1016/S0362-546X(97)00205-8
Renormalization schemes for earthquake prediction
F. M. BorodichGeophysical Journal International 131 (1) 171 (1997)
https://doi.org/10.1111/j.1365-246X.1997.tb00603.x
Tricritical Behavior in Rupture Induced by Disorder
Jørgen Vitting Andersen, Didier Sornette and Kwan-tai LeungPhysical Review Letters 78 (11) 2140 (1997)
https://doi.org/10.1103/PhysRevLett.78.2140
Spontaneous generation of discrete scale invariance in growth models
Y. Huang, G. Ouillon, H. Saleur and D. SornettePhysical Review E 55 (6) 6433 (1997)
https://doi.org/10.1103/PhysRevE.55.6433
Scale Invariance and Beyond
Laurent NottaleScale Invariance and Beyond 249 (1997)
https://doi.org/10.1007/978-3-662-09799-1_19
Review of Progress in Quantitative Nondestructive Evaluation
J.-C. Anifrani, C. Le Floc’h, D. Sornette, B. Souillard and C. VannesteReview of Progress in Quantitative Nondestructive Evaluation 459 (1997)
https://doi.org/10.1007/978-1-4615-5947-4_61
Application of pattern recognition techniques to earthquake catalogs generated by model of segmented fault systems in three‐dimensional elastic solids
Mariana Eneva and Yehuda Ben‐ZionJournal of Geophysical Research: Solid Earth 102 (B11) 24513 (1997)
https://doi.org/10.1029/97JB01857
Scale Invariance and Beyond
Didier SornetteScale Invariance and Beyond 235 (1997)
https://doi.org/10.1007/978-3-662-09799-1_18
Large financial crashes
Didier Sornette and Anders JohansenPhysica A: Statistical Mechanics and its Applications 245 (3-4) 411 (1997)
https://doi.org/10.1016/S0378-4371(97)00318-X
The cyclic and fractal seismic series preceding anmb4.8 earthquake on 1980 February 14 near the Virgin Islands
David J. Varnes and Charles G. BufeGeophysical Journal International 124 (1) 149 (1996)
https://doi.org/10.1111/j.1365-246X.1996.tb06359.x
Stress, slip, and earthquakes in models of complex single‐fault systems incorporating brittle and creep deformations
Yehuda Ben‐ZionJournal of Geophysical Research: Solid Earth 101 (B3) 5677 (1996)
https://doi.org/10.1029/95JB03534
A two-stage model of fracture of rocks
V. Kuksenko, N. Tomilin, E. Damaskinskaya and D. Locknerpure and applied geophysics 146 (2) 253 (1996)
https://doi.org/10.1007/BF00876492
Sandpile model on the Sierpinski gasket fractal
Brigita Kutnjak-Urbanc, Stefano Zapperi, Sava Milošević and H. Eugene StanleyPhysical Review E 54 (1) 272 (1996)
https://doi.org/10.1103/PhysRevE.54.272
Complex Fractal Dimensions Describe the Hierarchical Structure of Diffusion-Limited-Aggregate Clusters
D. Sornette, A. Johansen, A. Arneodo, J. F. Muzy and H. SaleurPhysical Review Letters 76 (2) 251 (1996)
https://doi.org/10.1103/PhysRevLett.76.251
Experimental Realization of Critical Thermal Fuse Rupture
Laurent Lamaignère, François Carmona and Didier SornettePhysical Review Letters 77 (13) 2738 (1996)
https://doi.org/10.1103/PhysRevLett.77.2738
Log-periodic corrections to scaling: exact results for aperiodic Ising quantum chains
Dragi Karevski and Loïc TurbanJournal of Physics A: Mathematical and General 29 (13) 3461 (1996)
https://doi.org/10.1088/0305-4470/29/13/017
Discrete scale invariance, complex fractal dimensions, and log‐periodic fluctuations in seismicity
H. Saleur, C. G. Sammis and D. SornetteJournal of Geophysical Research: Solid Earth 101 (B8) 17661 (1996)
https://doi.org/10.1029/96JB00876
log-periodic behavior of a hierarchical failure model with applications to precursory seismic activation
William I. Newman, Donald L. Turcotte and Andrei M. GabrielovPhysical Review E 52 (5) 4827 (1995)
https://doi.org/10.1103/PhysRevE.52.4827