- Bolton, E. W., K. A. Maasch and J. M. Lilly (1995). A wavelet analysis of Plio-Pleistocene climate indicators: A new view of periodicity evolution. Geophysical Research Letters, 22: 2753–2756. doi
10.1029/95GL02799 pdf - Lilly, J. M., and J. Park (1995). Multiwavelet spectral and polarization analysis. Geophysical Journal International, 122: 1001–1021. doi 10.1111/j.1365-246X.1995.tb06852.x pdf
- Lilly, J. M., P. B. Rhines, M. Visbeck, R. E. Davis, J. R. N. Lazier, F. Schott and D. Farmer (1999). Observing deep convection in the Labrador Sea during winter 1994–95. Journal of Physical Oceanography, 29: 2065–2098. doi 10.1175/1520-0485(1999)029 <2065:ODCITL>2.0.CO;2 pdf
- Lilly, J. M., and P. B. Rhines (2002). Coherent eddies in the Labrador Sea observed from a mooring. Journal of Physical Oceanography, 32: 585–598. doi 10.1175/1520-0485(2002)032 <0585:CEITLS> 2.0.CO;2 pdf
- Lilly, J. M., P. B. Rhines, F. Schott, K. Lavender, J. Lazier, U. Send, and E. D’Asaro (2003). Observations of the Labrador Sea eddy field. Progress in Oceanography, 59: 75–176. doi 10.1016/ j.pocean.2003.08.013 pdf
- Lilly, J. M., and E. E. Lettvin (2004). The “switch-on” problem for linear time-invariant operators. Signal Processing, 84: 763–784. doi 10.1016/j.sigpro.2003.12.011 pdf
- Bunge, L., C. Provost, J. M. Lilly, M. D’Orgeville, A. Kartavtseff, and J.-L. Mélice (2006). Variability of the horizontal velocity structure in the Upper 1600 m of the water column on the Equator at 10°W. Journal of Physical Oceanography, 36: 1287–1304. doi 10.1175/JPO2908.1 pdf
- Lilly, J. M., and J.-C. Gascard (2006). Wavelet ridge diagnosis of time-varying elliptical signals with application to an oceanic eddy. Nonlinear Processes in Geophysics, 13: 467–483. doi 10.5194/npg-13-467-2006 pdf
- Rilling, G., P. Flandrin, P. Gonçalves, and J. M. Lilly (2007). Bivariate empirical mode decomposition. IEEE Signal Processing Letters, 14 (12): 936–939. doi 10.1109/LSP.2007.904710 pdf
- Lagerloef, G., F. R. Colomb, D. Le Vine, F. Wentz, S. Yueh, C. Ruf, J. Lilly, J. Gunn, Y. Chao, A. deCharon, G. Feldman, and C. Swift, (2008). The Aquarius/SAC-D mission: Designed to meet the salinity remote-sensing challenge Oceanography, 21 (1): 69–81. doi 10.5670/oceanog.2008.68 pdf
- Lilly, J. M., and S. C. Olhede, (2009). Higher-order properties of analytic wavelets. IEEE Transactions on Signal Processing, 57 (1): 146–160. doi 10.1109/TSP.2008.2007607 pdf
- Rykova, T., F. Straneo, J. M. Lilly, and I. Yashayaev (2009). Irminger Current anticyclones in the Labrador Sea observed in the hydrographic record, 1990–2004. Journal of Marine Research, 67 (3): 361–384. doi 10.1109/10.1357/002224009789954739 pdf
- Lilly, J. M., and S. C. Olhede (2009). Wavelet ridge estimation of jointly modulated multivariate oscillations. 43rd Asilomar Conference on Signals, Systems, and Computers, 452–456. Refereed conference proceedings paper. doi 10.1109/ACSSC.2009.5469858 pdf
- Lilly, J. M., and S. C. Olhede (2010). Bivariate instantaneous frequency and bandwidth. IEEE Transactions on Signal Processing, 58 (2): 591–603. doi 10.1109/TSP.2009.2031729 pdf
- Lilly, J. M., and S. C. Olhede (2010). On the analytic wavelet transform. IEEE Transactions on Information Theory, 56 (8): 4135–4156. doi 10.1109/TIT.2010.2050935 pdf
- Lilly, J. M. (2011). Modulated oscillations in three dimensions. IEEE Transactions on Signal Processing, 59 (12): 5930–5943. doi 10.1109/TSP.2011.2164914 pdf
- Lilly, J. M., R. K. Scott, and S. C. Olhede (2011). Extracting waves and vortices from Lagrangian trajectories. Geophysical Research Letters, 38 L23605: 1–5. doi 10.1029/2011GL049727 pdf
vortexmovie.mp4 - Lilly, J. M., and S. C. Olhede (2012). Analysis of modulated multivariate oscillations. IEEE Transactions on Signal Processing, 60 (2): 600–612. doi 10.1109/TSP.2011.2173681 pdf
- Hattermann, T., O. A. Nøst, J. M. Lilly, and L. H. Smedsrud (2012). Two years of oceanic observations below the Fimbul Ice Shelf, Antarctica. Geophysical Research Letters, 39 L12605: 1–6. doi 10.1029/2012GL051012 pdf
- Lilly, J. M., and S. C. Olhede (2012). Generalized Morse wavelets as a superfamily of analytic wavelets. IEEE Transactions on Signal Processing, 60 (11): 6036–6041. doi 10.1109/TSP.2012.2210890 pdf
- Bower, A. S., R. M. Hendry, D. E. Amrhein, and J. M. Lilly (2013). Direct observations of formation and propagation of subpolar eddies into the subtropical North Atlantic. Deep-Sea Research, 39: 15–41. doi 10.1016/j.dsr2.2012.07.029 pdf
- Hattermann, T., L. H. Smedsrud, O. A. Nøst, J. M. Lilly, and B. K. Galton-Fenzi (2014). Eddy-resolving simulations of the Fimbul ice shelf cavity circulation: basal melting and exchange with open ocean. Ocean Modelling, 82: 28–44. doi 10.1016/j.ocemod.2014.07.004 pdf
- Waterman, S. N., and J. M. Lilly (2015). Geometric decomposition of eddy feedbacks in barotropic systems. Journal of Physical Oceanography, 45 (4): 1009–1024. doi 110.1175/JPO-D-14-0177.1 pdf
- Wain, D. J., J. M. Lilly, A. H. Callaghan, I. Yashayaev, and B. Ward (2015). A breaking internal wave in the surface ocean boundary layer. Journal of Geophysical Research, 120 (6): 4151–4161. doi 10.1002/2014JC010416 pdf
- Stewart, K. D., P. Spence, S. Waterman, J. Le Sommer, J.-M. Molines, J. M. Lilly, and M. H. England (2015). Anisotropy of eddy variability in the global ocean. Ocean Modelling, 95 (4): 53–65. doi 10.1016/j.ocemod.2015.09.005 pdf
- Bartlett, T. E., A. M. Sykulski, S. C. Olhede, J. M. Lilly, and J. J. Early (2015). A power variance test for nonstationarity in complex-valued signals. IEEE 14th International Conference on Machine Learning and Applications (ICMLA), 911–916. Refereed conference proceedings paper. doi 10.1109/ICMLA.2015.122 pdf
- Sykulski, A. M., S. C. Olhede, J. M. Lilly, and E. Danioux (2016). Lagrangian time series models for ocean surface drifter trajectories. Journal of the Royal Statistical Society: Series C, 65 (1): 29–50. doi 10.1111/rssc.12112 pdf
- Elipot, S., R. Lumpkin, R. C. Perez, J. M. Lilly, J. J. Early, and A. M. Sykulski (2016). A global surface drifter data set at hourly resolution. Journal of Geophysical Research: Oceans, 121 (5): 2937–2966. doi 10.1002/ 2016JC011716 pdf Download Data
- Sykulski, A. M., S. C. Olhede, and J. M. Lilly (2016). A widely linear complex autoregressive process of order one. IEEE Transactions on Signal Processing, 64 (23): 6200–6210. doi 10.1109/TSP.2016.2599503 pdf
- Sykulski, A. M., S. C. Olhede, J. M. Lilly, and J. J. Early (2017). Frequency-domain stochastic modeling of stationary bivariate or complex-valued signals. IEEE Transactions on Signal Processing, 65 (12): 3136–3151. doi 10.1109/TSP.2017.2686334 pdf
- Lilly, J. M. (2017). Element analysis: a wavelet-based method for analyzing time-localized events in noisy time series. Proceedings of the Royal Society of London, Series A, 473 (2200): 20160776, 1–28. doi 10.1098/rspa.2016.0776 pdf
- Guillaumin, A. P., A. M. Sykulski, S. C. Olhede, J. J. Early, and J. M. Lilly (2017). Analysis of nonstationary modulated time series with applications to oceanographic surface flow measurements. Journal of Time Series Analysis, 38 (5): 668–710. doi 10.1111/jtsa.12244 pdf
- Lilly, J. M., A. M. Sykulski, J. J. Early, and S. C. Olhede (2017). Fractional Brownian motion, the Matérn process, and stochastic modeling of turbulent dispersion. Nonlinear Processes in Geophysics, 24: 481–514. doi 10.5194/npg-24-481-2017 pdf
turbulencemovie.mp4 dispersionmovie.mp4 - Lilly, J. M. (2018). Kinematics of a fluid ellipse in a linear flow. Fluids, 3 (1): 1–29. doi 10.3390/fluids3010016 pdf
- Sykulski, A. M., S. C. Olhede, A. P. Guillaumin, J. M. Lilly, and J. J. Early (2019). The de-biased Whittle likelihood. Biometrika, 106 (2): 251–266. doi 10.1093/biomet/asy071 pdf
- Bosse, A., I. Fer, J. M. Lilly, and H. Søiland (2019). Dynamical controls on the longevity of a non-linear vortex: The case of the Lofoten Basin Eddy. Scientific Reports, 9 (1): 13448 1–13. doi 10.1038/s41598-019-49599-8 pdf
- Trodahl, M., P. E. Isachsen, J. Nilsson, J. M. Lilly, and N. M. Kristensen (2020). The regeneration of the Lofoten Vortex through vertical alignment. Journal of Physical Oceanography, 50 (9): 2689–2711. doi 10.1175/JPO-D-20-0029.1 pdf
- Lilly, J. M., and S. Elipot (2021). A unifying perspective on transfer function solutions to the unsteady Ekman problem. Fluids, 6 (2): 85, 1–36 doi 10.3390/fluids6020085 pdf
- Lilly, J. M., and P. Pérez-Brunius (2021a). A gridded surface current product for the Gulf of Mexico from consolidated drifter measurements. Earth System Science Data, 13: 645–669. doi 10.5194/essd-13-645-2021 pdf
- Lilly, J. M., and P. Pérez-Brunius (2021b). Extracting statistically significant eddy signals from large Lagrangian datasets using wavelet ridge analysis, with application to the Gulf of Mexico. Nonlinear Processes in Geophysics, 28: 181–212. doi 10.5194/npg-28-181-2021 pdf
- Klenz, T., H. L. Simmons, L. Centurioni, J. M. Lilly, J. J. Early, and V. Hormann (2022). Estimates of near-inertial wind power input using novel in situ wind measurements from Minimet surface drifters in the Iceland Basin. Journal of Physical Oceanography, 52(10): 2417–2430. doi 10.1175/JPO-D-21-0283.1 pdf
- Schee, M. G., E. Rosenblum, J. M. Lilly, and N. Grisouard (2024). Unsupervised clustering identifies thermohaline staircases in the Canada Basin of the Arctic Ocean. Environmental Data Science, 3: e13, 1–19 doi 10.1017/eds.2024.13 pdf
- Lilly, J. M., J. Feske, B. Fox-Kemper, and J. J. Early (2024). Integral theorems for the gradient of a vector field, with a fluid dynamical application. Proceedings of the Royal Society of London, Series A. 480 (2293): 20230550, 1–30. doi 10.1098/rspa.2023.0550 pdf