LOVEJOY Shaun

donBaker

Ernest Rutherford Physics Building
McGill University
3600 University St.
Montreal, Quebec
Canada H3A 2T8

lovejoy@physics.mcgill.ca
Téléphone: (514) 398-6537
Télécopieur: (514) 398-4680
Bureau: Rutherford Physics Building room 21

Ph.D., McGill University, Canada (1981)
Department of Physics, McGill University

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Publications

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Lovejoy, S., Schertzer, D., In press. Multifractal cascades and the emergence of atmospheric turbulence, Cambridge.

Gires, A., Tchiguirinskaia, I., Schertzer, D., Lovejoy, S., 2011. Multifractal and spatiotemporal analysis of the rainfall output of the meso-NH model and radar data, Hydrological Sciences Journal, 56(3), 380-396. pdf

Schertzer, D., Tchiguirinskaia, I., Lovejoy, S., Tuck, A., 2011. Quasi-geostrophic turbulence and generalized scale invariance, a theoretical reply, Atmospheric Chemistry and Physics Discussions, 11(1), 3301-3320. pdf

Lovejoy, S., 2010. Why the bare/dressed cascade distinction matters: Interactivecomment on “Reconstruction of sub-daily rainfall sequences using multinomia multiplicative cascades” by L. Wang et al., Hydrol. Earth Syst. Sci. Discuss. 7, C1–C4. pdf

Lovejoy, S., Schertzer, D., 2010. On the simulation of continuous in scale universal multifractals, part I: Spatially continuous processes, Computers and Geosciences, 36(11), 1393-1403. pdf           

Lovejoy, S., Schertzer, D., 2010. On the simulation of continuous in scale universal multifractals, Part II: Space-time processes and finite size corrections, Computers and Geosciences, 36(11), 1404-1413. pdf

Schertzer, D., Tchiguirinskaia, I., Lovejoy, S., Hubert, P., 2010. No monsters, no miracles: in nonlinear sciences hydrology is not an outlier! Hydrological Sciences Journal, 55(6), 965-979. pdf

Lovejoy, S., Tuck, A. F., Schertzer, D., 2010. Horizontal cascade structure of atmospheric fields determined from aircraft data, J. Geophys. Res., 115, D13105. pdf

Lovejoy, S., Schertzer, D., Tuck, A.F., 2010. Why anisotropic turbulence matters: another reply, Atmos. Chem. Phys. Discuss., 10, 7495-7506, 2010. pdf

Lovejoy, S., Schertzer, D., 2010. Towards a new synthesis for atmospheric dynamics: Space-time cascades, Atmospheric Research, 96(1), 1-52. pdf

Lovejoy, S., Agterberg, F., Carsteanu A., Cheng, Q., Davidsen, J., Gaonac'h, H., Gupta, V., L'Heureux, I., Liu, W., Morris, S.W., Sharma, S., Shcherbakov, R., Tarquis, A., Turcotte, D., Uritsky, V., 2009. Nonlinear Geophysics: Why we need it, EOS, 90 (48), 455-456. pdf

Lovejoy, S., Tuck, A.F., Hovde, S.J., Schertzer, D., 2009. Vertical cascade structure of the atmosphere and multifractal dropsonde outages, J. Geophys. Res., 114, D07111, doi:10.1029/2008JD010651. pdf

Lovejoy, S., Tuck, A.F., Schertzer, D., 2009. Interactive comment on “Comment on“Reinterpreting aircraft measurements in anisotropic scaling turbulence" by Lovejoy et al. (2009)” by E. Lindborg et al, Atmos. Chem. Phys. Disc., 9, C7688-C7699.

Lovejoy, S., Tuck, A. F., Schertzer, D.,  Hovde, S. J., 2009. Reinterpreting aircraft measurements in anisotropic scaling turbulence, Atmos. Chem. Phys. Discuss, 9, 3871-3920. pdf

Lovejoy, S., Schertzer, D., Allaire, V.,  Bourgeois, T. , King, S.,  Pinel, J. , Stolle, J., 2009. Atmospheric complexity or scale by scale simplicity?, Geophys. Res. Lett, 36, L01801, doi:10.1029/2008GL035863. pdf

Lovejoy, S., Watson, B.P., Grosdidier, Y.,  Schertzer, D., 2009. Scattering in thick multifractal clouds, part II: Multiple scattering, Physica A: Statistical Mechanics and its Applications, 388 (18), 3711-3727, DOI: 10.1016/j.physa.2009.05.037. pdf

Stolle, J., Lovejoy, S., Schertzer, D., 2009. The stochastic cascade structure of deterministic numerical models of the atmosphere, Nonlin. Processes Geophys., 16, 1–15.

Watson, B.P., Lovejoy, S., Grosdidier, Y., Schertzer, D., 2009. Scattering in thick multifractal clouds, part I: Overview and single scattering, Physica A: Statistical Mechanics and its Applications, 388 (18), 3695-3710, DOI: 10.1016/j.physa.2009.05.038. pdf

Lilley, M., Lovejoy, S., Strawbridge, K., Schertzer, D., Radkevitch, A., 2008. Scaling turbulent atmospheric stratification, Part II: spatial stratification and intermittency from lidar data, Quart. J. Roy. Meteor. Soc., 134 (631 PART B), 301-315. GEOTOP publication n° 2008-0007. pdf

Lovejoy, S., Schertzer, D. , 2008. Turbulence, rain drops and the l 1/2 number density law, New J. of Physics, 10, 075017(32pp), doi:10.1088/1367-2630/10/7/075017. pdf

Lovejoy, S., Schertzer, D., Allaire, V., 2008. The remarkable wide range spatial scaling of TRMM precipitation, Atmospheric Research, 90(1), 10-32. GEOTOP publication n° 2008-0004. pdf

Lovejoy, S., A., Tarquis, H., Gaonac'h, Schertzer, D., 2008. Single and multiscale remote sensing techniques, multifractals and MODIS derived vegetation and soil moisture, Vadose Zone J.,  7(2), 533-546. GEOTOP publication n° 2008-0009. pdf

Lovejoy, S., Gaonac'h H. , Schertzer D., 2008. Anisotropic Scaling Models of Rock Density and the Earth's Surface Gravity Field, Mathematical Geosciences, 40 (5), 533-573. pdf

Lovejoy, S.,  Tuck,  A., Hovde, S.,  Scherzter, D.,  2008. Do stable atmospheric layers exist? Geophys. Res. Lett., 35(1), L01802, doi:10.1029/2007GL032122. publication n° 2007-0029. pdf

Lovejoy, S., Schertzer, D., Lilley, M., Strawbridge, K., Radkevitch, A.,  2008. Scaling turbulent atmospheric stratification, Part I: turbulence and waves , Quart. J. Roy. Meteor. Soc., 134 (631 PART B), 277-300. GEOTOP publication n°2008-0006. pdf

Radkevich, A., Lovejoy, S., Strawbridge, K., Schertzer, D., Lilley, M., 2008. Scaling turbulent atmospheric stratification, Part III: Space-time stratification of passive scalars from lidar data, Quart. J. Roy. Meteor. Soc., 134 (631 PART B), 317-335. GEOTOP publication n° 2008-0008. pdf

Royer, J.F., Biaou, A., Chauvin, F., Schertzer, D., Lovejoy, S., 2008. Multifractal analysis of the evolution of simulated precipitation over France in a climate scenario, Comptes Rendus Geosciences, 340(7), 431-440. GEOTOP publication n°2008-0005. pdf

Beaulieu, A., Gaonac'h, H., Lovejoy, S., 2007. Anisotropic scaling of remotely sensed drainage basins: The differential anisotropy scaling technique, Nonlinear Processes in Geophysics, 14 (4), 337-350. GEOTOP publication n° 2007-0018.  pdf

Elsner, J.B., Gupta, V.K., Lovejoy, S., Lucarini, V., Murray, A.B., Sharma, A.S., Tebbens, S., Tsonis, A.A., Vassiliadis, D., 2007. Twenty years of nonlinear dynamics in geosciences, Eos, 88(3), 29. GEOTOP publication n° 2007-0022.  

Gaonac'h, H., Lovejoy, S., Carrier-Nunes, M., Schertzer, D., Lepine, F., 2007. Percolating magmas in three dimensions, Nonlinear Processes in Geophysics, 14(6), 743-755. GEOTOP publication n° 2007-0056. pdf

Lovejoy, S., Schertzer, D., 2007. Scale, scaling and multifractals in geophysics: twenty years on, Nonlinear dynamics in Geosciences, Ed. A.A. Tsonis, J. Elsner, Springer., 604 p., GEOTOP publication n° 2007-0024. pdf

Lovejoy, S., Schertzer, D.,  2007. Scaling and multifractal fields in the solid earth and topography, Nonlinear Processes in Geophysics, 14 (4), 465-502. pdf

Lovejoy, S., Tuck, A.F., Hovde, S.J., Schertzer, D., 2007. Is isotropic turbulence relevant in the atmosphere? Geophysical Research Letters, 34 (15), art. no. L15802. pdf

Macor, J., Schertzer, D., Lovejoy, S., 2007. Multifractal methods applied to rain forecast using radar data [Méthodes multifractales appliquées à la prévision de pluie en utilisant des données radar], Houille Blanche, 4, 92-98.

Radkevich, A., Lovejoy, S., Strawbridge, K., Schertzer, D., 2007. The elliptical dimension of space-time atmospheric stratification of passive admixtures using lidar data, Physica A: Statistical Mechanics and its Applications, 382(2), 597-615. GEOTOP publication n° 2007-0041  pdf

Gagnon, J.S., Lovejoy, S., Schertzer, D., 2006. Multifractal earth topography, Nonlin. Processes Geophys., 13(5), 541–570. GEOTOP publication n° 2006-0038 pdf

Hubert, P., Tchiguirinskaia, I., Schertzer, D., Bendjoudi, H., Lovejoy, S., 2006. Predetermination of floods, Extreme Hydrological Events: New Concepts for Security, Vasiliev, O.F.; van Gelder, P.H.A.J.M.; Plate, E.J.; Bolgov, M.V. (Eds.), Springer Nato Science Series: IV: Earth and Environmental, Sciences, Vol.78, 185-198.

Lilley, M., Lovejoy, S., Desaulniers-Soucy, N., Schertzer, D., 2006. Multifractal large number of drops limit in rain, Journal of Hydrology, 328(1-2), 20-37. GEOTOP publication n° 2006-0037   pdf

Lovejoy, S., Schertzer, D., 2006. Scaling turbulent atmospheric stratification: a turbulence/wave wind model, Wind Energy: Proceedings of the Euromech Colloquium, Eds. J. Peinke, P. Schaumann, S. Barth, Springer-Verlag, 332pp. GEOTOP publication n° 2006-0046

Lovejoy, S., Schertzer, D., 2006. Multifractals, cloud radiances and rain, J. Hydrol., 322(1-4), 59-88. GEOTOP publication n° 2006-0045 pdf

Schertzer, D. and Lovejoy, S., 2006. Multifractals en Turbulence et Géophysique.Irruption des Géométries Fractales dans la Sciences. G. Belaubre and F.Begon. Paris, Académie Européeene Interdisciplinaire des Sciences: 189-209.

Schertzer, D., Bernardara, P., Biaou, A., Tchiguirinskaia, I., Lang, M., Sauquet, E., Bendjoudi, H., Hubert, P., Lovejoy, S., Veysseire, J.M., 2006. Extremes and multifractals in hydrology: Results, validations and prospects [Extrêmes et multifractals en hydrologie: Résultats, validations et perspectives], Houille Blanche, 5, 112-119. pdf

Tchiguirinskaia, I. , Schertzer, D., Lovejoy, S., Veysseire, J.M., 2006. Wind extremes and scales: multifractal insights and empirical evidence, Wind Energy: Proceedings of the Euromech Colloquium, Eds. J. Peinke, P. Schaumann, S. Barth, Springer-Verlag, 332pp.

Gaonac'h, H., Lovejoy, S., Schertzer, D., 2005. Scaling vesicle distributions and volcanic eruptions, Bulletin of Volcanology, 67 (4), 350-357. GEOTOP publication no. 2005-0049. pdf

Lovejoy, S., Schertzer, D., Gagnon, J.S., 2005. Multifractal simulations of the Earth’s surface and interior: anisotropic singularities and morphology, in GIS and Spatial Analysis, Proc. Of Inter. Assoc. Math. Geology, Eds. Q. Cheng, G. Bonham-Carter 37-54.

Grosdidier, Y., Lovejoy, S., Watson, B.P., Schertzer, D., 2004. Atmospheric Stratification and Radiative Transfer, Fourteenth ARM Science Team Meeting Proceedings, Albuquerque, New Mexico, March 22-26, 2004. pdf

Lilley, M., Lovejoy, S., Strawbridge, K., Schertzer, D., 2004. 23/9 dimensional anisotropic scaling of passive admixtures using lidar aerosol data, Phys. Rev. E, 70, 036307-1-7. pdf

Lovejoy, S., Schertzer, D., Tuck,A. F., 2004. Fractal aircraft trajectories and nonclassical turbulent exponents, Physical Review E, 70, 036306-1-5. pdf

Lovejoy, S., Gaonac'h, H., Schertzer, D., 2004. Bubble distributions and dynamics: the expansion-coalescence equation, Journal of Geophysical Research (Solid Earth), 109, B11203, doi:10.1029/2003JB002823. GEOTOP Publication n° 2004-0019. pdf

Schertzer, D., Lovejoy, S., 2004. Space-time Complexity and Multifractal Predictability, Physica A: Statistical Mechanics and its Applications, 338 (1-2), 173-186. pdf

Schertzer, D., Lovejoy, S., 2004. Uncertainty and Predictability in Geophysics: Chaos and Multifractal Insights, In: State of the Planet, Frontiers and Challenges in Geophysics, edited by R.S.J. Sparks, and C.J. Hawkesworth, pp. 317-334, AGU, Washington.

Tchiguirinskaia, I. , Schertzer, D., Hubert, P., Bendjoudi, H., Lovejoy, S., 2004. Multiscaling geophysics and sustainable development in: Scales in Hydrology and Water Management, Tchiguirinskaia, I. Bonnel, M. Hubert, P. eds IAHS Press, Wallingford, UK, 111-137.

Tchiguirinskaia, I , Schertzer, D., Lovejoy, S., Hubert, P., Bendjoudi, H. 2004. Techniques multifractales et gestion du cycle de lʼeau, In Journées dʼétude sur les methods pour les signaux complexes en traitement dʼimage, Eds. J.P. Nadal, A. Turiel, H. Yahia, INRIA 9-10 Dec. 2003, p.67 –75.

Gagnon, J.S., Lovejoy, S., Schertzer, D., 2003. Multifractal surfaces and terrestrial topography, Europhysics Lett., 62 (6), 801-807. pdf

Gaonac'h, H., Lovejoy, S., Schertzer, D., 2003. Resolution dependence of infrared imagery of active thermal features at Kilauea Volcano, International Journal of Remote Sensing, 24 (11), 2323-2344. GEOTOP Publication n° 2003-0018. pdf

Gaonac'h, H., Lovejoy, S., Schertzer, D., 2003. Percolating magmas and explosive volcanism, Geophysical Research Letters, 30 (11), 1559-1563, doi:10.1029/2002GL016022. GEOTOP Publication n° 2003-0019. pdf

Hubert, P., Schertzer, D., Tchiguirinskai, A.I., Bendjoudi, H., Lovejoy, S., Hallegatte, S., Larchevěque, M., 2003. A multifractal point of view on climatological evolution, Houille Blanche, 8, 31-33.

Hubert, P., Tchiguirinskaia, I., Schertzer, D., Bendjoudi, H.,  Lovejoy, S., 2003. Scaling, fractals and multifractals in hydrology: premises and perspectives, J. of Appl. Hydrology, 16, 1-9.

Lovejoy, S., Lilley, M., Desaulniers-Soucy, N., Schertzer, D., 2003. Large particle number limit in Rain, Physical Review E, 68, 025301. pdf

Harvey, D. C., Gaonac'h, H., Lovejoy, S., Stix, J., Schertzer, D., 2002. Multifractal Characterization of Remotely Sensed Volcanic Features: A Case Study from Kilauea Volcano, Hawaii, Fractals, 10, 265-274. pdf

Hubert, P., Bendjoudi, H., Schertzer, D., Lovejoy, S., 2002. Multifractal taming of extreme hydrometeorological events, IAHS-AISH Publication, (271), pp. 51-56.

Sachs, D., Lovejoy, S., Schertzer, D., 2002. The multifractal scaling of cloud radiances from 1m to 1km, Fractals, 10, 253-265. pdf

Schertzer, D., Lovejoy, S., 2002. Review of Multifractals and 1/f noise, Math. Rev.

Schertzer, D., Tchiginskaya, Y., Lovejoy, S., Hubert, P., Bendjoudi, H., Larchevêque, M., 2002. Which chaos in the rainfall-runoff process?, Hydrological Sciences Journal, 47, 1, 139-149. pdf

Desaulniers-Soucy, N., Lovejoy, S., Schertzer, D., 2001. The HYDROP experiment: an empirical method for the determination of the continuum limit in rain, Atmos. Resear., 59-60, 163-197. pdf

Finn, D., Lamb, B., Leclerc, M.Y., Lovejoy, S., Pecknold, S., Schertzer, D., 2001. Multifractal Analysis of Plume concentration fluctuations in surface layer flows, J. Appl. Meteor, February, 229-245. pdf

Lovejoy, S., Pecknold, S., Schertzer, D., 2001. Stratified multifractal magnetization and surface geomagnetic fields, part 1: spectral analysis and modelling, Geophys. J. Inter., 145, 112-126. pdf

Lovejoy, S., Schertzer, D., Stanway, J. D., 2001. Direct Evidence of planetary scale atmospheric cascade dynamics, Phys. Rev. Lett., 86, n22, 5200-5203. pdf

Lovejoy, S., Tessier, Y., Claereboudt, M.R., Currie, W.J.S., Roff, J.C., Bourget, E., Schertzer, D., 2001. Universal Multifractals and ocean patchiness: phytoplankton, physical fields and coastal heterogeneity, J. Plankton Res., 23, 117-141. pdf

Lovejoy, S., Schertzer, D., Tessier, Y., Gaonac'h, H., 2001. Multifractals and Resolution independent remote sensing algorithms: the example of ocean colour, Inter. J. of Remote Sensing, 22, 1191-1234. pdf

Pecknold, S., Lovejoy, S., Schertzer, D., 2001. Stratified multifractal magnetization and surface geomagnetic fields, part 2: multifractal analysis and simulation, Geophys. J. Inter., 145, 127-144. pdf

Salvadori, G., Schertzer, D., Lovejoy, S., 2001. Multifractal objective analysis: conditioning and interpolation, Stochastic Environmental Research and Risk Assessment, 15, no. 4, 261-283. pdf

Schertzer, D., Larchevesque, M., Duan, J., Yanovsky, V., Lovejoy, S., 2001. Fractional Fokker-Planck Equation for nonlinear stochastic differential equations driven by non-gaussian and Levy stable noises, J. Math. Phys., 42 (1), 200-212, DOI:10.1063/1.1318734 . pdf

Schmitt, F., Schertzer, D., Lovejoy, S., 2000. Multifractal fluctuations in finance, Inter. J. Theor. Appl. Fin., 3, 361-364.

Lovejoy,S., Garrido, P., Schertzer, D., 2000. Multifractal absolute galactic luminosity distributions and the multifractal Hubble 3/2 law, Physica A, 287, 49-82. pdf

Thèmes de recherche

Mots clé: Nonlinear geophysics, fractals, multifractals, atmospheric physics, turbulence, hydrology, physical volcanology

sLovejoy

Here is a numerical simulation of clouds and pollution.

My research is heavily influenced by ideas in chaos, scaling and fractals. The long-term goal is a systematic investigation of the scaling symmetries of geophysical and atmospheric systems. Since 1979, I have been involved in advances in scaling notions, demonstrating that geophysical problems could provide a role in stimulating advances in physics, and could act as unique laboratories for nonlinear dynamics. Highlights of these advances include multifractals, generalized scale invariance, universal multifractals, the codimension formalism for multifractals, continuous cascade processes, vector and tensor multifractal processes, and the multifractal phase transition route to self-organized criticality.

This work has been directly linked to a series of new geophysical paradigms. A particularly exciting one is the idea that atmospheric dynamics repeat scale after scale from large to small scales in a cascade-like way. The key is recognizing that as the scales get smaller, the horizontal gets “squashed” much more than the vertical so that the stratification which starts out being extreme (structures very flat at planetary scales) become rounder and rounder at small scales. This has been directly verified using nearly 1000 satellite photographs (Lovejoy et al 2001), and more recently by state-of-the-art lidar and using pollution as an atmospheric tracer (Lilley et al 2004). We also discovered that aircraft can have fractal trajectories (Lovejoy et al 2004) and have thus been able to explain previously published aircraft wind and temperature data showing that they support this 23/9 dimensional “unified scaling” model (see our recent press release).

In the area of solid earth studies, we have shown that the surface topography is a universal multifractal, showing that - contrary to prevailing wisdom - scaling surfaces cannot generally be regarded as self-affine fractals (Gagnon et al 2003). Similarly, the variability of the earth’s surface magnetic field can be explained by a similar scaling stratification of the rock susceptibility (Lovejoy et al 2001). We have also studied bubble coalescence processes (Lovejoy, Gaonac’h, Schertzer 2004) in magma and related this to percolation and explosive volcanism (Gaonac’h, Lovejoy, Schertzer 2003).

Étudiants

 
Pinel, Julien: Ph.D. in Physics, McGill University
Sujet de recherche: The analysis and modelling of the space-time scaling properties of atmospheric radiances and precipitation