Articles | Volume 1, issue 2/3
https://doi.org/10.5194/npg-1-95-1994
© Author(s) 1994. This work is licensed under
the Creative Commons Attribution-NonCommercial-ShareAlike 2.5 License.
the Creative Commons Attribution-NonCommercial-ShareAlike 2.5 License.
https://doi.org/10.5194/npg-1-95-1994
© Author(s) 1994. This work is licensed under
the Creative Commons Attribution-NonCommercial-ShareAlike 2.5 License.
the Creative Commons Attribution-NonCommercial-ShareAlike 2.5 License.
30 Sep 1994
Empirical study of multifractal phase transitions in atmospheric turbulence
F. Schmitt
Laboratoire de Météorologie Dynamique (CNRS), Université Pierre et Marie Curie, 4 Place Jussieu, 75252 Paris Cedex 05, France
D. Schertzer
Laboratoire de Météorologie Dynamique (CNRS), Université Pierre et Marie Curie, 4 Place Jussieu, 75252 Paris Cedex 05, France
S. Lovejoy
Département de Physique, Université McGill, 3600 rue Université, Montréal, (Québec), H3A 2T8, Canada
present address L.M.D., Paris, France
Y. Brunet
INRA Bioclimatologie, 71, Avenue Edouard-Bourleaux, BP 81, 33883 Villenave d'Ornon Cedex, France
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Cited
40 citations as recorded by crossref.
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- Multifractal behaviour of long‐term karstic discharge fluctuations D. Labat et al. https://doi.org/10.1002/hyp.9495
- Shot noise multifractal model for turbulent pseudo-dissipation G. Apolinário & L. Moriconi https://doi.org/10.1088/1742-5468/ab9e65
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- A Multifractal Random-Walk Description of Atmospheric Turbulence: Small-Scale Multiscaling, Long-Tail Distribution, and Intermittency L. Liu et al. https://doi.org/10.1007/s10546-019-00451-6
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- Turbulence intermittency, small-scale phytoplankton patchiness and encounter rates in plankton: where do we go from here? L. Seuront et al. https://doi.org/10.1016/S0967-0637(00)00089-3
- Multifractal analysis of passive tracer transport in simulated skimming and wake interference flows F. Jiménez-Hornero et al. https://doi.org/10.1063/1.2793158
- Detrended multifractal characterization of Indian rainfall records A. Sarker & P. Mali https://doi.org/10.1016/j.chaos.2021.111297
- Artificiality of multifractal phase transitions M. Wolf et al. https://doi.org/10.1016/S0375-9601(00)00061-X
- A discrete log-normal process to sequentially generate a multifractal time series N. Perpète & F. Schmitt https://doi.org/10.1088/1742-5468/2011/12/P12013
- Small-scale turbulence in the plankton: low-order deterministic chaos or high-order stochasticity? L. Seuront https://doi.org/10.1016/j.physa.2004.04.128
- THE MULTIFRACTAL SCALING OF CLOUD RADIANCES FROM 1M TO 1KM D. SACHS et al. https://doi.org/10.1142/S0218348X02001385
- Scaling turbulent atmospheric stratification. I: Turbulence and waves S. Lovejoy et al. https://doi.org/10.1002/qj.201
- Stochastic downscaling of precipitation to high-resolution scenarios in orographically complex regions: 1. Model evaluation R. Bordoy & P. Burlando https://doi.org/10.1002/2012WR013289
- Small-Scale Wind Fluctuations in the Tropical Tropopause Layer from Aircraft Measurements: Occurrence, Nature, and Impact on Vertical Mixing A. Podglajen et al. https://doi.org/10.1175/JAS-D-17-0010.1
- Multifractal comparison of rainfall measurement with the help of a disdrometer and a mini vertically pointing Doppler radar M. Seppe Silva et al. https://doi.org/10.1080/02626667.2025.2464948
- Exploring the link between multiscale entropy and fractal scaling behavior in near-surface wind M. Nogueira & F. Schmitt https://doi.org/10.1371/journal.pone.0173994
- Finescale Clusterization Intermittency of Turbulence in the Atmospheric Boundary Layer L. Liu & F. Hu https://doi.org/10.1175/JAS-D-19-0270.1
- Multiscaling and joint multiscaling description of the atmospheric wind speed and the aggregate power output from a wind farm R. Calif & F. Schmitt https://doi.org/10.5194/npg-21-379-2014
- Review article: Scaling, dynamical regimes, and stratification. How long does weather last? How big is a cloud? S. Lovejoy https://doi.org/10.5194/npg-30-311-2023
- Fractional Fourier transform of Cantor sets: further numerical study G. Qiong et al. https://doi.org/10.1088/1674-1056/17/6/014
- Estimating higher-order structure functions from geophysical turbulence time series: Confronting the curse of the limited sample size A. DeMarco & S. Basu https://doi.org/10.1103/PhysRevE.95.052114
- Single‐ and Multiscale Remote Sensing Techniques, Multifractals, and MODIS‐Derived Vegetation and Soil Moisture S. Lovejoy et al. https://doi.org/10.2136/vzj2007.0173
- Linking Eulerian and Lagrangian structure functions’ scaling exponents in turbulence F. Schmitt https://doi.org/10.1016/j.physa.2005.12.028
- On the tails of the wind ramp distributions A. DeMarco & S. Basu https://doi.org/10.1002/we.2202
- Aircraft observations of boundary layer turbulence: Intermittency and the cascade of energy and passive scalar variance J. Cho et al. https://doi.org/10.1029/2001JD900079
- Scaling Behavior of Structure Functions of the Longitudinal Magnetic Field in Active Regions on the Sun V. Abramenko et al. https://doi.org/10.1086/342169
- Solar MHD turbulence in regions with various levels of flare activity V. Abramenko https://doi.org/10.1134/1.1451929
- Multifractality of laser beam spatial intensity in a turbulent medium R. Barille & P. LaPenna https://doi.org/10.1364/AO.45.003331
- Exploring the effects of the vegetation on passive tracer transport by using the multifractal analysis F. Jiménez-Hornero et al. https://doi.org/10.1016/j.geoderma.2009.04.001
- Dynamical model and nonextensive statistical mechanics of liquid water path fluctuations in stratus clouds K. Ivanova et al. https://doi.org/10.1029/2006JD007493
- Multifractal fluctuations in earthquake-related geoelectrical signals L. Telesca et al. https://doi.org/10.1088/1367-2630/7/1/214
- MULTIFRACTALS, GENERALIZED SCALE INVARIANCE AND COMPLEXITY IN GEOPHYSICS D. SCHERTZER & S. LOVEJOY https://doi.org/10.1142/S0218127411030647
- Explicit predictability and dispersion scaling exponents in fully developed turbulence F. Schmitt https://doi.org/10.1016/j.physleta.2005.05.088
- Multifractal analysis of foreign exchange data F. Schmitt et al. https://doi.org/10.1002/(SICI)1099-0747(199903)15:1<29::AID-ASM357>3.0.CO;2-Z
- Stochastic fractal models for image processing B. Pesquet-Popescu & J. Vehel https://doi.org/10.1109/MSP.2002.1028352
- Spatio-temporal rainfall variability and its impacts on the hydrological response of nature-based solutions Y. Qiu et al. https://doi.org/10.1080/1573062X.2023.2180395
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