Publications

S. Silvestri, G. L. Wagner, N. C. Constantinou, C. N. Hill, J.-M. Campin, A. N. Souza, S. Bishnu, V. Churavy, J. C. Marshall, R. Ferrari (2025). A GPU-based ocean dynamical core for routine mesoscale-resolving climate simulations. JAMES.

A. N. Souza, S. Silvestri, K. Deck, T. Bischoff, R. Ferrari, G. R. Flierl (2025). Surface to Seafloor: A Generative AI Framework for Decoding the Ocean Interior State. arXiv preprint arXiv:2504.15308.

L. T. Giorgini, F. Falasca, A. N. Souza (2025). Predicting Forced Responses of Probability Distributions via the Fluctuation-Dissipation Theorem and Generative Modeling. arXiv.

G. L. Wagner, A. Hillier, N. C. Constantinou, S. Silvestri, A. N. Souza, K. Burns, C. Hill, J.-M. Campin, J. Marshall, R. Ferrari (2025). Formulation and calibration of CATKE, a one-equation parameterization for microscale ocean mixing. JAMES.

L. T. Giorgini, T. Bischoff, A. N. Souza (2025). KGMM: A K-means Clustering Approach to Gaussian Mixture Modeling for Score Function Estimation. arXiv preprint arXiv:2503.18054.

G. L. Wagner, S. Silvestri, N. C. Constantinou, A. Ramadhan, J.-M. Campin, C. Hill, T. Chor, J. Strong-Wright, X. K. Lee, F. Poulin, A. N. Souza, K. J. Burns, J. Marshall, R. Ferrari (2025). High-level, high-resolution ocean modeling at all scales with Oceananigans. arXiv preprint.

L. T. Giorgini, A. N. Souza, D. Lippolis, P. Cvitanović, P. Schmid (2025). Learning Dissipation and Instability Fields from Chaotic Dynamics. arXiv preprint.

A. N. Souza, S. Silvestri (2024). A Modified Bisecting K-Means for Approximating Transfer Operators: Application to the Lorenz Equations. arXiv preprint arXiv:2412.03734.

M. Wang, A. N. Souza, R. Ferrari, T. Sapsis (2024). Stochastic Emulators of Spatially Resolved Extreme Temperatures of Earth System Models. Authorea, Inc..

G. Geogdzhayev, A. N. Souza, R. Ferrari, G. R. Flierl (2024). A Statistical Emulator Design for Averaged Climate Fields. Authorea, Inc..

Ludovico T. Giorgini, Katherine Deck, Tobias Bischoff, Andre N. Souza (2024). Response Theory via Generative Score Modeling. Phys. Rev. Lett., 133(26), 267302.

G. R. Flierl, A. N. Souza (2024). On the non-local nature of turbulent fluxes of passive scalars. JFM, 986, A8.

G. Geogdzhayev, A. N. Souza, R. Ferrari (2024). The evolving butterfly: Statistics in a changing attractor. Physica D: Nonlinear Phenomena, 462, 134107.

A. N. Souza (2024). Representing turbulent statistics with partitions of state space. Part 2. The compressible Euler equations. Journal of Fluid Mechanics, 997, A2.

A. N. Souza (2024). Representing turbulent statistics with partitions of state space. Part 1. Theory and methodology. Journal of Fluid Mechanics, 997, A1.

L. T. Giorgini, A. N. Souza, P. J. Schmid (2024). Reduced Markovian models of dynamical systems. Physica D: Nonlinear Phenomena, 134393.

O. R. A. Dunbar, M. Bieli, A. Garbuno-Iñigo, M. Howland, A. N. De Souza, L. A. Mansfield, G. L. Wagner, N. Efrat-Henrici (2024). CalibrateEmulateSample.jl: Accelerated Parametric Uncertainty Quantification. Journal of Open Source Software, 9(97), 6372.

PDF Cite Code DOI

S. Silvestri, G. L. Wagner, J.-M. Campin, N. C. Constantinou, C. N. Hill, A. Souza, R. Ferrari (2024). A New WENO-Based Momentum Advection Scheme for Simulations of Ocean Mesoscale Turbulence. Journal of Advances in Modeling Earth Systems, 16(7), e2023MS004130.

A. N. Souza, T. Lutz, G. R. Flierl (2023). Statistical non-locality of dynamically coherent structures. JFM, 966, A44.

PDF Cite Code DOI

A. N. Souza, J. He, T. Bischoff, M. Waruszewski, L. Novak, V. Barra, T. Gibson, A. Sridhar, S. Kandala, S. Byrne, L. C. Wilcox, J. Kozdon, F. X. Giraldo, O. Knoth, J. Marshall, R. Ferrari, T. Schneider (2023). The Flux-Differencing Discontinuous Galerkin Method Applied to an Idealized Fully Compressible Nonhydrostatic Dry Atmosphere. Journal of Advances in Modeling Earth Systems, 15, e2022MS003527.

PDF Cite Code DOI

A. N. Souza, I. Tobasco, C. R. Doering (2020). Wall-to-wall optimal transport in two dimensions. Journal of Fluid Mechanics, 889, A34.

A. N. Souza, G. L. Wagner, A. Ramadhan, B. Allen, V. Churavy, J. Schloss, J. Campin, C. Hill, A. Edelman, J. Marshall, G. Flierl, R. Ferrari (2020). Uncertainty Quantification of Ocean Parameterizations: Application to the K-Profile-Parameterization for Penetrative Convection. Journal of Advances in Modeling Earth Systems, 12(12), e2020MS002108.

PDF Cite Code DOI

N. Bhamidipati, A. N. Souza, G. R. Flierl (2020). Turbulent mixing of a passive scalar in the ocean mixed layer. Ocean Modelling, 149, 101615.

A. Ramadhan, G. L. Wagner, C. Hill, J. Campin, V. Churavy, T. Besard, A. Souza, A. Edelman, R. Ferrari, J. Marshall (2020). Oceananigans.jl: Fast and friendly geophysical fluid dynamics on GPUs. Journal of Open Source Software, 5(53), 2018.

PDF Cite Code DOI

A. N. Souza, M. Tao (2019). Metastable transitions in inertial Langevin systems: What can be different from the overdamped case?. European Journal of Applied Mathematics, 30(5), 830–852.

A. N. Souza, C. R. Doering (2015). Transport bounds for a truncated model of Rayleigh--Bénard convection. Physica D: Nonlinear Phenomena, 308, 26-33.

A. N. Souza, C. R. Doering (2015). Maximal transport in the Lorenz equations. Physics Letters A, 379(6), 518-523.

A. N. Souza, D. J. Perkins, C. E. Starrett, D. Saumon, S. B. Hansen (2014). Predictions of x-ray scattering spectra for warm dense matter. Phys. Rev. E, 89(2), 023108.