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Approaching complexity by stochastic methods: From biological systems to turbulence
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Ausloos, M., & Ivanova, K. (2003) · Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics · doi:10.1103/physreve.68.046122 · Cited by 127
Fractal character of the electrocardiogram: Distinguishing heart-failure and normal patients
Turcott, R. G., & Teich, M. C. (1996) · Annals of Biomedical Engineering · doi:10.1007/bf02667355 · Cited by 124
Epilepsy and Nonlinear Dynamics
Lehnertz, K. (2008) · Journal of Biological Physics · doi:10.1007/s10867-008-9090-3 · Cited by 122
Scaling behavior in economics: The problem of quantifying company growth
Amaral, L. A. N., Buldyrev, S. V., Havlin, S., Maass, P., Salinger, M. A., Stanley, E., & Stanley, M. H. R. (1997) · Physica A Statistical Mechanics and its Applications · doi:10.1016/s0378-4371(97)00301-4 · Cited by 121
Phase Transition in a Healthy Human Heart Rate
Kiyono, K., Struzik, Z. R., Aoyagi, N., Togo, F., & Yamamoto, Y. (2005) · Physical Review Letters · doi:10.1103/physrevlett.95.058101 · Cited by 120
Scaling Behavior in Economics: II. Modeling of Company Growth
Buldyrev, S. V., Amaral, L. A. N., Havlin, S., et al. (1997) · Journal de Physique I · doi:10.1051/jp1:1997181 · Cited by 119
Stochastic Analysis and Regeneration of Rough Surfaces
Jafari, G., Fazeli, S. M., Ghasemi, F., et al. (2003) · Physical Review Letters · doi:10.1103/physrevlett.91.226101 · Cited by 110
Spatial Markov processes for modeling Lagrangian particle dynamics in heterogeneous porous media
Borgne, T. L., Dentz, M., & Carrera, J. (2008) · Physical Review E · doi:10.1103/physreve.78.026308 · Cited by 110
Markov processes, Hurst exponents, and nonlinear diffusion equations: With application to finance
Bassler, K. E., Gunaratne, G. H., & McCauley, J. L. (2006) · Physica A Statistical Mechanics and its Applications · doi:10.1016/j.physa.2006.01.081 · Cited by 107
Mapping stochastic processes onto complex networks
Shirazi, A. H. M., Jafari, G., Davoudi, J., Peinke, J., Tabar, M. R. R., & Sahimi, M. (2009) · Journal of Statistical Mechanics Theory and Experiment · doi:10.1088/1742-5468/2009/07/p07046 · Cited by 94
Self-citationJoint probability distributions for a class of non-Markovian processes
Baule, A., & Friedrich, R. (2005) · Physical Review E · doi:10.1103/physreve.71.026101 · Cited by 93
Self-citationInference of a Nonlinear Stochastic Model of the Cardiorespiratory Interaction
Smelyanskiy, V., Luchinsky, D. G., Stefanovska, A., & McClintock, P. V. E. (2005) · Physical Review Letters · doi:10.1103/physrevlett.94.098101 · Cited by 89
Evidence of Markov properties of high frequency exchange rate data
Renner, C., Peinke, J., & Friedrich, R. (2001) · Physica A Statistical Mechanics and its Applications · doi:10.1016/s0378-4371(01)00269-2 · Cited by 89
Self-citationImproved spatial characterization of the epileptic brain by focusing on nonlinearity
Andrzejak, R. G., Mormann, F., Widman, G., et al. (2006) · Epilepsy Research · doi:10.1016/j.eplepsyres.2005.12.004 · Cited by 82
High-order structure functions of turbulence
van de Water, W., & Herweijer, J. A. (1999) · Journal of Fluid Mechanics · doi:10.1017/s0022112099004814 · Cited by 73
Roughness of undoped graphene and its short-range induced gauge field
Abedpour, N., Neek-Amal, M., Asgari, R., Shahbazi, F., Nafari, N., & Tabar, M. R. R. (2007) · Physical Review B · doi:10.1103/physrevb.76.195407 · Cited by 69
Ghasemi, F., Sahimi, M., Peinke, J., Friedrich, R., Jafari, G., & Tabar, M. R. R. (2007) · Physical Review E · doi:10.1103/physreve.75.060102 · Cited by 60
Self-citationStochastic Qualifiers of Epileptic Brain Dynamics
Prusseit, J., & Lehnertz, K. (2007) · Physical Review Letters · doi:10.1103/physrevlett.98.138103 · Cited by 59
Noise Effects on the Complex Patterns of Abnormal Heartbeats
Schulte-Frohlinde, V., Ashkenazy, Y., Ivanov, P. C., Glass, L., Goldberger, A. L., & Stanley, E. (2001) · Physical Review Letters · doi:10.1103/physrevlett.87.068104 · Cited by 58
Stochastic analysis of different rough surfaces
Waechter, M., Riess, F., Schimmel, T., et al. (2004) · The European Physical Journal B · doi:10.1140/epjb/e2004-00317-4 · Cited by 56
Deterministic and stochastic features of rhythmic human movement
van Mourik, A. M., Daffertshofer, A., & Beek, P. J. (2005) · Biological Cybernetics · doi:10.1007/s00422-005-0041-9 · Cited by 55
Scaling and universality in animate and inanimate systems
Stanley, E., Amaral, L. A. N., Buldyrev, S. V., Goldberger, A. L., Havlin, S., Leschhorn, H., Maass, P., Makse, H. A., Peng, C., Salinger, M. A., et al. (1996) · Physica A Statistical Mechanics and its Applications · doi:10.1016/0378-4371(96)00086-6 · Cited by 54
Prusseit, J., & Lehnertz, K. (2008) · Physical Review E · doi:10.1103/physreve.77.041914 · Cited by 47
Precursors of extreme increments
Hallerberg, S., Altmann, E. G., Holstein, D., & Kantz, H. (2007) · Physical Review E · doi:10.1103/physreve.75.016706 · Cited by 47
A note on three-point statistics of velocity increments in turbulence
Friedrich, R., Zeller, J., & Peinke, J. (1998) · Europhysics Letters (EPL) · doi:10.1209/epl/i1998-00124-7 · Cited by 45
Self-citationVolatility, persistence, and survival in financial markets
Constantin, M., & Sarma, S. D. (2005) · Physical Review E · doi:10.1103/physreve.72.051106 · Cited by 45
Baule, A., & Friedrich, R. (2007) · Europhysics Letters (EPL) · doi:10.1209/0295-5075/77/10002 · Cited by 42
Self-citationReconstruction of stochastic nonlinear dynamical models from trajectory measurements
Smelyanskiy, V., Luchinsky, D. G., Timuçin, D. A., & Bandrivskyy, A. (2005) · Physical Review E · doi:10.1103/physreve.72.026202 · Cited by 42
Hennig, T., Maass, P., Hayano, J., & Heinrichs, S. (2006) · Journal of Biological Physics · doi:10.1007/s10867-006-9022-z · Cited by 41
Escape problem under stochastic volatility: The Heston model
Jaume Masoliver, A., & Perelló, J. (2008) · Physical Review E · doi:10.1103/physreve.78.056104 · Cited by 40
Stochastic analysis of surface roughness
Waechter, M., Riess, F., Kantz, H., et al. (2003) · Europhysics Letters (EPL) · doi:10.1209/epl/i2003-00616-4 · Cited by 35
Reducing stochasticity in the North Atlantic Oscillation index with coupled Langevin equations
Lind, P. G., Mora, A., Gallas, J. A. C., & Haase, M. (2005) · Physical Review E · doi:10.1103/physreve.72.056706 · Cited by 34
Renormalization of stochastic lattice models: Epitaxial surfaces
Haselwandter, C. A., & Vvedensky, D. D. (2008) · Physical Review E · doi:10.1103/physreve.77.061129 · Cited by 34
Network Analysis of the State Space of Discrete Dynamical Systems
Shreim, A., Grassberger, P., Nadler, W., Samuelsson, B., Socolar, J. E. S., & Paczuski, M. (2007) · Physical Review Letters · doi:10.1103/physrevlett.98.198701 · Cited by 34
Identifying noise sources of time-delayed feedback systems
Frank, T. D., Beek, P. J., & Friedrich, R. (2004) · Physics Letters A · doi:10.1016/j.physleta.2004.06.012 · Cited by 31
Self-citationDrift bifurcation detection for dissipative solitons
Kempa-Liehr, A. W., Bödeker, H. U., Röttger, M. C., Frank, T. D., Friedrich, R., & Purwins, H. ‐. (2003) · New Journal of Physics · doi:10.1088/1367-2630/5/1/389 · Cited by 28
Self-citationLog-amplitude statistics of intermittent and non-Gaussian time series
Kiyono, K. (2009) · Physical Review E · doi:10.1103/physreve.79.031129 · Cited by 23
Bahraminasab, A., Ghasemi, F., Stefanovska, A., McClintock, P. V. E., & Friedrich, R. (2009) · New Journal of Physics · doi:10.1088/1367-2630/11/10/103051 · Cited by 22
Self-citationNonlinear statistical modeling and model discovery for cardiorespiratory data
Luchinsky, D. G., Millonas, M., Smelyanskiy, V., Pershakova, A., Stefanovska, A., & McClintock, P. V. E. (2005) · Physical Review E · doi:10.1103/physreve.72.021905 · Cited by 21
Exploring the dynamics of balance data — movement variability in terms of drift and diffusion
Gottschall, J., Peinke, J., Lippens, V., & Nagel, V. (2008) · Physics Letters A · doi:10.1016/j.physleta.2008.12.026 · Cited by 20
Self-citationPhase coupling in the cardiorespiratory interaction
Bahraminasab, A., Kenwright, D. A., Stefanovska, A., Ghasemi, F., & McClintock, P. V. E. (2008) · IET Systems Biology · doi:10.1049/iet-syb:20060087 · Cited by 19
Siefert, M., & Peinke, J. (2006) · Journal of Turbulence · doi:10.1080/14685240600677673a · Cited by 19
Self-citationStochastic features of rough surfaces: analysis of laser-induced silicon surface modification
Vahabi, M., Jafari, G., Mansour, N., Karimzadeh, R., & Zamiranvari, J. (2008) · Journal of Statistical Mechanics Theory and Experiment · doi:10.1088/1742-5468/2008/03/p03002 · Cited by 19
Optimal Markov approximations and generalized embeddings
Holstein, D., & Kantz, H. (2009) · Physical Review E · doi:10.1103/physreve.79.056202 · Cited by 16
Stochastic analysis of single particle segregational dynamics
Kern, M., Buser, O., Peinke, J., Siefert, M., & Vulliet, L. (2005) · Physics Letters A · doi:10.1016/j.physleta.2005.01.019 · Cited by 16
Self-citationSCALING AND UNIVERSALITY IN LIVING SYSTEMS
Stanley, E., Amaral, L. A. N., Buldyrev, S. V., Goldberger, A. L., Havlin, S., Hyman, B. T., Leschhorn, H., Maass, P., Makse, H. A., Peng, C., et al. (1996) · Fractals · doi:10.1142/s0218348x96000558 · Cited by 15
Stepp, N. D., & Frank, T. D. (2009) · The European Physical Journal B · doi:10.1140/epjb/e2009-00022-x · Cited by 11
Allahkarami, M., Hanan, J. C., & Bale, H. (2010) · Applied Surface Science · doi:10.1016/j.apsusc.2010.07.081 · Cited by 8
Anderson localization and propagation of electromagnetic waves through disordered media
Sheikhan, A., Abedpour, N., Sepehrinia, R., Niry, M. D., Tabar, M. R. R., & Sahimi, M. (2010) · Waves in Random and Complex Media · doi:10.1080/17455030903506054 · Cited by 7
Self-citationSahimi, M., Tabar, M. R. R., Bahraminasab, A., Sepehrinia, R., & Allaei, S. M. V. (2009) · Acta Mechanica · doi:10.1007/s00707-009-0168-1 · Cited by 5
Self-citationAnomalous diffusion in a field of randomly distributed scatterers
Affan, H., Friedrich, R., & Eule, S. (2009) · Physical Review E · doi:10.1103/physreve.80.011137 · Cited by 4
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Metadata
- Authors
- Friedrich, R., Peinke, J., Sahimi, M., & Reza Rahimi Tabar, M.
- Venue
- Physics Reports
- Publisher
- Elsevier BV
- Published
- 2011-09
- Volume
- 506
- Issue
- 5
- Pages
- 87-162
- ISSN
- 0370-1573 (ISSN-L)
- OpenAlex
- W2143351549
- Cited by
- 349
- References
- 176
- FWCI
- 48.30
- Type
- journal article
- Language
- en
- Open access
- closed
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
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Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.