Global in situ Observations of Essential Climate and Ocean Variables at the Air–Sea Interface

LR Centurioni, J Turton, R Lumpkin… - Frontiers in Marine …, 2019 - frontiersin.org
The air–sea interface is a key gateway in the Earth system. It is where the atmosphere sets
the ocean in motion, climate/weather-relevant air–sea processes occur, and pollutants (ie …

Solution properties of a 3D stochastic Euler fluid equation

D Crisan, F Flandoli, DD Holm - Journal of Nonlinear Science, 2019 - Springer
We prove local well-posedness in regular spaces and a Beale–Kato–Majda blow-up
criterion for a recently derived stochastic model of the 3D Euler fluid equation for …

Fractional Brownian motion, the Matérn process, and stochastic modeling of turbulent dispersion

JM Lilly, AM Sykulski, JJ Early… - Nonlinear Processes in …, 2017 - npg.copernicus.org
Stochastic processes exhibiting power-law slopes in the frequency domain are frequently
well modeled by fractional Brownian motion (fBm), with the spectral slope at high …

The debiased Whittle likelihood

AM Sykulski, SC Olhede, AP Guillaumin, JM Lilly… - …, 2019 - academic.oup.com
The Whittle likelihood is a widely used and computationally efficient pseudolikelihood.
However, it is known to produce biased parameter estimates with finite sample sizes for …

Stochastic geometric models with non-stationary spatial correlations in Lagrangian fluid flows

F Gay-Balmaz, DD Holm - Journal of nonlinear science, 2018 - Springer
Inspired by spatiotemporal observations from satellites of the trajectories of objects drifting
near the surface of the ocean in the National Oceanic and Atmospheric Administration's …

Global characteristics of coherent vortices from surface drifter trajectories

R Lumpkin - Journal of Geophysical Research: Oceans, 2016 - Wiley Online Library
An algorithm is developed that can automatically identify loopers in Lagrangian trajectory
data, ie, looping trajectories that complete at least two orbits, in a significant update to Griffa …

[HTML][HTML] Characterization of internal tide incoherence: Eulerian versus Lagrangian perspectives

Z Caspar-Cohen, A Ponte, N Lahaye… - Journal of Physical …, 2022 - journals.ametsoc.org
Abstract The Lagrangian and Eulerian surface current signatures of a low-mode internal tide
propagating through a turbulent balanced flow are compared in idealized numerical …

A widely linear complex autoregressive process of order one

AM Sykulski, SC Olhede, JM Lilly - IEEE Transactions on Signal …, 2016 - ieeexplore.ieee.org
We propose a simple stochastic process for modeling improper or noncircular complex-
valued signals. The process is a natural extension of a complex-valued autoregressive …

Frequency-domain stochastic modeling of stationary bivariate or complex-valued signals

AM Sykulski, SC Olhede, JM Lilly… - IEEE Transactions on …, 2017 - ieeexplore.ieee.org
There are three equivalent ways of representing two jointly observed real-valued signals: as
a bivariate vector signal, as a single complex-valued signal, or as two analytic signals …

Estimating the travel time and the most likely path from Lagrangian drifters

M O'Malley, AM Sykulski… - … of Atmospheric and …, 2021 - journals.ametsoc.org
We provide a novel method for computing the most likely path taken by drifters between
arbitrary fixed locations in the ocean. We also provide an estimate of the travel time …