Multifractal descriptors ergodically characterize non-ergodic multiplicative cascade processes

[1]  Damian G. Kelty-Stephen,et al.  Multifractal Nonlinearity Moderates Feedforward and Feedback Responses to Suprapostural Perturbations , 2023, Perceptual and motor skills.

[2]  Jeremy C. Smith,et al.  Non-ergodicity of a globular protein extending beyond its functional timescale , 2022, Chemical Science.

[3]  Damian G. Kelty-Stephen,et al.  Multifractal test for nonlinearity of interactions across scales in time series , 2022, Behavior Research Methods.

[4]  Damian G. Kelty-Stephen,et al.  Ergodic descriptors of non-ergodic stochastic processes , 2022, Journal of the Royal Society Interface.

[5]  Damian G. Kelty-Stephen,et al.  Fractal and multifractal descriptors restore ergodicity broken by non-Gaussianity in time series , 2022, Chaos, Solitons & Fractals.

[6]  Andrey G. Cherstvy,et al.  Restoring ergodicity of stochastically reset anomalous-diffusion processes , 2022, Physical Review Research.

[7]  Andrey G. Cherstvy,et al.  Nonergodicity of reset geometric Brownian motion. , 2022, Physical review. E.

[8]  Ran Nathan,et al.  Ergodicity Breaking in Area-Restricted Search of Avian Predators , 2021, Physical Review X.

[9]  Philippe Castagliola,et al.  Monitoring the coefficient of variation: A literature review , 2021, Comput. Ind. Eng..

[10]  Òscar Garibo i Orts,et al.  Objective comparison of methods to decode anomalous diffusion , 2021, Nature Communications.

[11]  Ralf Metzler,et al.  Characterising stochastic motion in heterogeneous media driven by coloured non-Gaussian noise , 2021, Journal of Physics A: Mathematical and Theoretical.

[12]  Damian G. Kelty-Stephen,et al.  Perceiving and remembering speech depend on multifractal nonlinearity in movements producing and exploring speech , 2021, bioRxiv.

[13]  Nicole S. Carver,et al.  Multifractal roots of suprapostural dexterity. , 2021, Human movement science.

[14]  Damian G. Kelty-Stephen,et al.  Multifractality in postural sway supports quiet eye training in aiming tasks: A study of golf putting. , 2021, Human movement science.

[15]  Damian G. Kelty-Stephen,et al.  Point estimates, Simpson’s paradox, and nonergodicity in biological sciences , 2020, Neuroscience & Biobehavioral Reviews.

[16]  Karl M. Newell,et al.  Visual effort moderates postural cascade dynamics , 2020, Neuroscience Letters.

[17]  Damian G. Kelty-Stephen,et al.  Postural constraints recruit shorter-timescale processes into the non-Gaussian cascade processes , 2020, Neuroscience Letters.

[18]  Madhur Mangalam,et al.  Multifractality distinguishes reactive from proactive cascades in postural control , 2020, bioRxiv.

[19]  Federico Sanabria Internal-Clock Models and Misguided Views of Mechanistic Explanations: A Reply to Eckard & Lattal (2020) , 2020, Perspectives on Behavior Science.

[20]  Damian G. Kelty-Stephen,et al.  Hypothetical control of postural sway , 2020, bioRxiv.

[21]  Madhur Mangalam,et al.  Multifractal signatures of perceptual processing on anatomical sleeves of the human body , 2020, bioRxiv.

[22]  S. B. Yuste,et al.  Continuous time random walk in a velocity field: role of domain growth, Galilei-invariant advection-diffusion, and kinetics of particle mixing , 2020, New Journal of Physics.

[23]  Fred Hasselman,et al.  Studying Complex Adaptive Systems With Internal States: A Recurrence Network Approach to the Analysis of Multivariate Time-Series Data Representing Self-Reports of Human Experience , 2020, Frontiers in Applied Mathematics and Statistics.

[24]  Madhur Mangalam,et al.  Multiplicative-cascade dynamics supports whole-body coordination for perception via effortful touch. , 2020, Human movement science.

[25]  Nicole S. Carver,et al.  Global broadcasting of local fractal fluctuations in a bodywide distributed system supports perception via effortful touch , 2019, bioRxiv.

[26]  O. Peters The ergodicity problem in economics , 2019, Nature Physics.

[27]  Damian G. Kelty-Stephen,et al.  Bodywide fluctuations support manual exploration: Fractal fluctuations in posture predict perception of heaviness and length via effortful touch by the hand. , 2019, Human movement science.

[28]  R. Metzler,et al.  Strange interfacial molecular dynamics , 2019, Physics Today.

[29]  B. West,et al.  Hypothetical Control of Heart Rate Variability , 2019, Front. Physiol..

[30]  Nicole S. Carver,et al.  Non-linear Amplification of Variability Through Interaction Across Scales Supports Greater Accuracy in Manual Aiming: Evidence From a Multifractal Analysis With Comparisons to Linear Surrogates in the Fitts Task , 2019, Front. Physiol..

[31]  M. Magdziarz,et al.  Codifference can detect ergodicity breaking and non-Gaussianity , 2019, New Journal of Physics.

[32]  Ralf Metzler,et al.  Non-Gaussian, non-ergodic, and non-Fickian diffusion of tracers in mucin hydrogels. , 2019, Soft matter.

[33]  William R. Holmes,et al.  Response-time data provide critical constraints on dynamic models of multi-alternative, multi-attribute choice , 2019, Psychonomic Bulletin & Review.

[34]  R. Bierings,et al.  Exocytosis of Weibel–Palade bodies: how to unpack a vascular emergency kit , 2018, Journal of thrombosis and haemostasis : JTH.

[35]  Marjolijn H. Verspoor,et al.  Individual Differences and the Ergodicity Problem , 2018, Language Learning.

[36]  F. Vahedifard,et al.  How do natural hazards cascade to cause disasters? , 2018, Nature.

[37]  J. Medaglia,et al.  Lack of group-to-individual generalizability is a threat to human subjects research , 2018, Proceedings of the National Academy of Sciences.

[38]  Joseph D. Clark,et al.  Fractality of Body Movements Predicts Perception of Affordances: Evidence From Stand-On-Ability Judgments About Slopes , 2018, Journal of experimental psychology. Human perception and performance.

[39]  Ariel Amir,et al.  Modeling Cell Size Regulation: From Single-Cell-Level Statistics to Molecular Mechanisms and Population-Level Effects. , 2018, Annual review of biophysics.

[40]  Damian G. Kelty-Stephen,et al.  Multifractality Versus (Mono-) Fractality as Evidence of Nonlinear Interactions Across Timescales: Disentangling the Belief in Nonlinearity From the Diagnosis of Nonlinearity in Empirical Data , 2017 .

[41]  Nicole S. Carver,et al.  Multifractal foundations of visually-guided aiming and adaptation to prismatic perturbation. , 2017, Human movement science.

[42]  Jakub Ślęzak Asymptotic behaviour of time averages for non-ergodic Gaussian processes , 2017 .

[43]  A. Godec,et al.  Quantifying non-ergodicity of anomalous diffusion with higher order moments , 2017, Scientific Reports.

[44]  Nicole S. Carver,et al.  Multifractality in individual honeybee behavior hints at colony-specific social cascades: Reanalysis of radio-frequency identification data from five different colonies. , 2017, Physical review. E.

[45]  Andrey G. Cherstvy,et al.  Quantifying the non-ergodicity of scaled Brownian motion , 2015, Journal of Physics A: Mathematical and Theoretical.

[46]  Claude Ostermann,et al.  De novo branching cascades for structural and functional diversity in small molecules , 2015, Nature Communications.

[47]  Andrey G. Cherstvy,et al.  Anomalous diffusion models and their properties: non-stationarity, non-ergodicity, and ageing at the centenary of single particle tracking. , 2014, Physical chemistry chemical physics : PCCP.

[48]  Réal Vallée,et al.  3.77 μm fiber laser based on cascaded Raman gain in a chalcogenide glass fiber. , 2014, Optics letters.

[49]  I. Sokolov,et al.  Weak ergodicity breaking in an anomalous diffusion process of mixed origins. , 2013, Physical review. E, Statistical, nonlinear, and soft matter physics.

[50]  Andrey G. Cherstvy,et al.  Anomalous diffusion and ergodicity breaking in heterogeneous diffusion processes , 2013, 1303.5533.

[51]  E. Ferrer,et al.  Comparison of Nomothetic Versus Idiographic-Oriented Methods for Making Predictions About Distal Outcomes From Time Series Data , 2013, Multivariate behavioral research.

[52]  B. Sridhar,et al.  Relay catalytic branching cascade: a technique to access diverse molecular scaffolds. , 2013, Angewandte Chemie.

[53]  Daniel Mirman,et al.  Gaze fluctuations are not additively decomposable: Reply to Bogartz and Staub , 2013, Cognition.

[54]  E. Iancu,et al.  Medium-induced QCD cascade: democratic branching and wave turbulence. , 2013, Physical review letters.

[55]  Damian G. Kelty-Stephen,et al.  Fractal Fluctuations in Quiet Standing Predict the Use of Mechanical Information for Haptic Perception , 2013, Annals of Biomedical Engineering.

[56]  R. Metzler,et al.  The role of ergodicity in anomalous stochastic processes: analysis of single-particle trajectories , 2012 .

[57]  R. Metzler,et al.  Strange kinetics of single molecules in living cells , 2012 .

[58]  Espen A. F. Ihlen,et al.  Introduction to Multifractal Detrended Fluctuation Analysis in Matlab , 2012, Front. Physio..

[59]  Marcin Magdziarz,et al.  Anomalous diffusion: testing ergodicity breaking in experimental data. , 2011, Physical review. E, Statistical, nonlinear, and soft matter physics.

[60]  V. Khedkar,et al.  Branching cascades: a concise synthetic strategy targeting diverse and complex molecular frameworks. , 2011, Angewandte Chemie.

[61]  A. Fulínski,et al.  Anomalous diffusion and weak nonergodicity. , 2011, Physical review. E, Statistical, nonlinear, and soft matter physics.

[62]  F. Hillary,et al.  The challenge of non-ergodicity in network neuroscience , 2011, Network.

[63]  R. Metzler,et al.  In vivo anomalous diffusion and weak ergodicity breaking of lipid granules. , 2010, Physical review letters.

[64]  G. Greenberg,et al.  Contemporary Ideas in Physics and Biology in Gottlieb's Psychology , 2010 .

[65]  Beatrix Vereijken,et al.  Interaction-dominant dynamics in human cognition: beyond 1/f(alpha) fluctuation. , 2010, Journal of experimental psychology. General.

[66]  R. Metzler,et al.  Aging and nonergodicity beyond the Khinchin theorem , 2010, Proceedings of the National Academy of Sciences.

[67]  Daniel Mirman,et al.  Interactions dominate the dynamics of visual cognition , 2010, Cognition.

[68]  Peter C. M. Molenaar,et al.  The New Person-Specific Paradigm in Psychology , 2009 .

[69]  King C. P. Li Pathology and radiology beyond looking at pictures. , 2009, Archives of pathology & laboratory medicine.

[70]  G. V. van Orden,et al.  Dispersion of response times reveals cognitive dynamics. , 2009, Psychological review.

[71]  E. Barkai,et al.  Ergodic properties of fractional Brownian-Langevin motion. , 2008, Physical review. E, Statistical, nonlinear, and soft matter physics.

[72]  P. Molenaar,et al.  Analyzing developmental processes on an individual level using nonstationary time series modeling. , 2009, Developmental psychology.

[73]  R. Metzler,et al.  Random time-scale invariant diffusion and transport coefficients. , 2008, Physical review letters.

[74]  R. Mittler,et al.  Unraveling the Tapestry of Networks Involving Reactive Oxygen Species in Plants , 2008, Plant Physiology.

[75]  Peter C M Molenaar,et al.  On the implications of the classical ergodic theorems: analysis of developmental processes has to focus on intra-individual variation. , 2008, Developmental psychobiology.

[76]  Ken Kelley,et al.  Sample size planning for the coefficient of variation from the accuracy in parameter estimation approach , 2007, Behavior research methods.

[77]  Chul Hee Choi,et al.  Intracellular signalling cascades regulating innate immune responses to Mycobacteria: branching out from Toll‐like receptors , 2007, Cellular microbiology.

[78]  P. Yaswen,et al.  Oncogene-Induced Senescence Pathways Weave an Intricate Tapestry , 2007, Cell.

[79]  Peter C M Molenaar,et al.  Statistical Modeling of the Individual: Rationale and Application of Multivariate Stationary Time Series Analysis , 2005, Multivariate behavioral research.

[80]  S. Gheorghiu,et al.  Heterogeneity explains features of "anomalous" thermodynamics and statistics. , 2004, Proceedings of the National Academy of Sciences of the United States of America.

[81]  P. Molenaar A Manifesto on Psychology as Idiographic Science: Bringing the Person Back Into Scientific Psychology, This Time Forever , 2004 .

[82]  M. Zamir Critique of the test of multifractality as applied to biological data. , 2003, Journal of theoretical biology.

[83]  G. Wulf,et al.  Attentional focus on supra-postural tasks affects postural control. , 2002 .

[84]  M. Turvey,et al.  Variability and Determinism in Motor Behavior , 2002, Journal of motor behavior.

[85]  H. Stanley,et al.  Multifractal Detrended Fluctuation Analysis of Nonstationary Time Series , 2002, physics/0202070.

[86]  A. Eke,et al.  Fractal characterization of complexity in temporal physiological signals. , 2002, Physiological measurement.

[87]  Schreiber,et al.  Improved Surrogate Data for Nonlinearity Tests. , 1996, Physical review letters.

[88]  Bras,et al.  Multifractal analysis: Pitfalls of standard procedures and alternatives. , 1995, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[89]  H. Stanley,et al.  Quantification of scaling exponents and crossover phenomena in nonstationary heartbeat time series. , 1995, Chaos.

[90]  C. Peng,et al.  Mosaic organization of DNA nucleotides. , 1994, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[91]  J. Bouchaud Weak ergodicity breaking and aging in disordered systems , 1992 .

[92]  Gary E. Riccio,et al.  Responses to Optical Looming in the Retinal Center and Periphery , 1990 .

[93]  Thirumalai,et al.  Ergodic behavior in supercooled liquids and in glasses. , 1989, Physical review. A, General physics.

[94]  R. Jensen,et al.  Direct determination of the f(α) singularity spectrum , 1989 .

[95]  T. Stoffregen,et al.  Affordances as constraints on the control of stance , 1988 .

[96]  Jensen,et al.  Erratum: Fractal measures and their singularities: The characterization of strange sets , 1986, Physical review. A, General physics.

[97]  B. Mandelbrot Intermittent turbulence in self-similar cascades: divergence of high moments and dimension of the carrier , 1974, Journal of Fluid Mechanics.

[98]  B. Mandelbrot,et al.  Fractional Brownian Motions, Fractional Noises and Applications , 1968 .

[99]  K. Pearson Contributions to the Mathematical Theory of Evolution. II. Skew Variation in Homogeneous Material , 1895 .

[100]  K. Pearson III. Contributions to the mathematical theory of evolution , 1894, Proceedings of the Royal Society of London.