Search Results - "Lilly, Jonathan M"

Two years of oceanic observations below the Fimbul Ice Shelf, Antarctica by Hattermann, Tore, Nøst, Ole Anders, Lilly, Jonathan M., Smedsrud, Lars H.

“…The mechanisms by which heat is delivered to Antarctic ice shelves are a major source of uncertainty when assessing the response of the Antarctic ice sheet to…”
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Element analysis: a wavelet-based method for analysing time-localized events in noisy time series by Lilly, Jonathan M.

“…A method is derived for the quantitative analysis of signals that are composed of superpositions of isolated, time-localized ‘events’. Here, these events are…”
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Fractional Brownian motion, the Matérn process, and stochastic modeling of turbulent dispersion by Lilly, Jonathan M, Sykulski, Adam M, Early, Jeffrey J, Olhede, Sofia C

“…Stochastic processes exhibiting power-law slopes in the frequency domain are frequently well modeled by fractional Brownian motion (fBm), with the spectral…”
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Kinematics of a Fluid Ellipse in a Linear Flow by Lilly, Jonathan

“…A four-parameter kinematic model for the position of a fluid parcel in a time-varying ellipse is introduced. For any ellipse advected by an arbitrary linear…”
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Observations of the Labrador Sea eddy field by LILLY, Jonathan M, RHINES, Peter B, SCHOTT, Friedrich, LAVENDER, Kara, LAZIER, John, SEND, Uwe, D'ASARO, Eric

“…This paper is an observational study of small-scale coherent eddies in the Labrador Sea, a region of dense water formation thought to be of considerable…”
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Dynamical controls on the longevity of a non-linear vortex : The case of the Lofoten Basin Eddy by Bosse, Anthony, Fer, Ilker, Lilly, Jonathan M., Søiland, Henrik

“…The Lofoten Basin is the largest oceanic reservoir of heat in the Nordic Seas, and the site of important heat fluxes to the atmosphere. An intense permanent…”
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On the Analytic Wavelet Transform by Lilly, Jonathan M, Olhede, Sofia C

“…An exact and general expression for the analytic wavelet transform of a real-valued signal is constructed, resolving the time-dependent effects of…”
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Higher-Order Properties of Analytic Wavelets by Lilly, J.M., Olhede, S.C.

“…The influence of higher-order wavelet properties on the analytic wavelet transform behavior is investigated, and wavelet functions offering advantageous…”
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Analysis of Modulated Multivariate Oscillations by Lilly, Jonathan M., Olhede, Sofia C.

“…The concept of a common modulated oscillation spanning multiple time series is formalized, a method for the recovery of such a signal from potentially noisy…”
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The debiased Whittle likelihood by Sykulski, Adam M, Olhede, Sofia C, Guillaumin, Arthur P, Lilly, Jonathan M, Early, Jeffrey J

“…Summary The Whittle likelihood is a widely used and computationally efficient pseudolikelihood. However, it is known to produce biased parameter estimates with…”
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A global surface drifter data set at hourly resolution by Elipot, Shane, Lumpkin, Rick, Perez, Renellys C., Lilly, Jonathan M., Early, Jeffrey J., Sykulski, Adam M.

“…The surface drifting buoys, or drifters, of the Global Drifter Program (GDP) are predominantly tracked by the Argos positioning system, providing drifter…”
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Generalized Morse Wavelets as a Superfamily of Analytic Wavelets by Lilly, J. M., Olhede, S. C.

“…The generalized Morse wavelets are shown to constitute a superfamily that essentially encompasses all other commonly used analytic wavelets, subsuming eight…”
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Extracting statistically significant eddy signals from large Lagrangian datasets using wavelet ridge analysis, with application to the Gulf of Mexico by Lilly, Jonathan M, Pérez-Brunius, Paula

“…A method for objectively extracting the displacement signals associated with coherent eddies from Lagrangian trajectories is presented, refined, and applied to…”
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A Unifying Perspective on Transfer Function Solutions to the Unsteady Ekman Problem by Lilly, Jonathan M., Elipot, Shane

“…The unsteady Ekman problem involves finding the response of the near-surface currents to wind stress forcing under linear dynamics. Its solution can be…”
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Bivariate Instantaneous Frequency and Bandwidth by Lilly, J.M., Olhede, S.C.

“…The generalizations of instantaneous frequency and instantaneous bandwidth to a bivariate signal are derived. These are uniquely defined whether the signal is…”
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A gridded surface current product for the Gulf of Mexico from consolidated drifter measurements by Lilly, Jonathan M, Pérez-Brunius, Paula

“…A large set of historical surface drifter data from the Gulf of Mexico – 3770 trajectories spanning 28 years and more than a dozen data sources – are…”
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Unsupervised clustering identifies thermohaline staircases in the Canada Basin of the Arctic Ocean by Schee, Mikhail G., Rosenblum, Erica, Lilly, Jonathan M., Grisouard, Nicolas

“…Abstract Thermohaline staircases are a widespread stratification feature that impacts the vertical transport of heat and nutrients and are consistently…”
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Lagrangian time series models for ocean surface drifter trajectories by Sykulski, Adam M., Olhede, Sofia C., Lilly, Jonathan M., Danioux, Eric

“…The paper proposes stochastic models for the analysis of ocean surface trajectories obtained from freely drifting satellite-tracked instruments. The time…”
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Modulated Oscillations in Three Dimensions by Lilly, J. M.

“…The analysis of the fully three-dimensional and time-varying polarization characteristics of a modulated trivariate, or three-component, oscillation is…”
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Analysis of Non‐Stationary Modulated Time Series with Applications to Oceanographic Surface Flow Measurements by Guillaumin, Arthur P., Sykulski, Adam M., Olhede, Sofia C., Early, Jeffrey J., Lilly, Jonathan M.

“…We propose a new class of univariate non‐stationary time series models, using the framework of modulated time series, which is appropriate for the analysis of…”
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