Select Publications
Preprints
, 2021, Persistence and material coherence of a mesoscale ocean eddy, http://dx.doi.org/10.48550/arxiv.2111.08351
, 2021, Deep Lagrangian connectivity in the global ocean inferred from Argo floats, http://dx.doi.org/10.1175/JPO-D-21-0156.1
, 2021, Equilibrium states for non-transitive random open and closed dynamical systems, http://dx.doi.org/10.1017/etds.2022.68
, 2021, Spectral analysis of climate dynamics with operator-theoretic approaches, http://dx.doi.org/10.48550/arxiv.2104.02902
, 2021, Detecting the birth and death of finite-time coherent sets, http://dx.doi.org/10.1002/cpa.22115
, 2021, Thermodynamic Formalism for Random Interval Maps with Holes, http://arxiv.org/abs/2103.04712v1
, 2021, Optimal linear response for Markov Hilbert-Schmidt integral operators and stochastic dynamical systems, http://dx.doi.org/10.1007/s00332-022-09839-0
, 2020, Angular values of nonautonomous and random linear dynamical systems: Part I -- Fundamentals, http://dx.doi.org/10.1137/20M1387730
, 2020, Thermodynamic Formalism for Random Weighted Covering Systems, http://dx.doi.org/10.1007/s00220-021-04156-1
, 2019, Linear response for the dynamic Laplacian and finite-time coherent sets, http://dx.doi.org/10.48550/arxiv.1907.10852
, 2019, Higher-Order Finite Element Approximation of the Dynamic Laplacian, http://arxiv.org/abs/1906.07634v1
, 2019, Fourier approximation of the statistical properties of Anosov maps on tori, http://dx.doi.org/10.1088/1361-6544/ab987e
, 2019, Computation and optimal perturbation of finite-time coherent sets for aperiodic flows without trajectory integration, http://dx.doi.org/10.48550/arxiv.1902.09263
, 2018, A spectral approach for quenched limit theorems for random hyperbolic dynamical systems, http://arxiv.org/abs/1812.07340v1
, 2018, Sparse eigenbasis approximation: multiple feature extraction across spatiotemporal scales with application to coherent set identification, http://dx.doi.org/10.1016/j.cnsns.2019.04.012
, 2018, Stability and approximation of statistical limit laws for multidimensional piecewise expanding maps, http://dx.doi.org/10.1007/s00023-019-00822-2
, 2018, Lagrangian geography of the deep Gulf of Mexico, http://dx.doi.org/10.1175/JPO-D-18-0073.1
, 2018, Optimal linear responses for Markov chains and stochastically perturbed dynamical systems, http://dx.doi.org/10.1007/s10955-018-1985-1
, 2017, Robust FEM-based extraction of finite-time coherent sets using scattered, sparse, and incomplete trajectories, http://arxiv.org/abs/1705.03640v3
, 2017, A spectral approach for quenched limit theorems for random expanding dynamical systems, http://dx.doi.org/10.1007/s00220-017-3083-7
, 2017, A Critical Comparison of Lagrangian Methods for Coherent Structure Detection, http://dx.doi.org/10.1063/1.4982720
, 2017, Lagrangian dynamical geography of the Gulf of Mexico, http://arxiv.org/abs/1703.10684v2
, 2017, Hilbert Space Lyapunov Exponent stability, http://arxiv.org/abs/1703.04841v1
, 2016, Almost sure invariance principle for random piecewise expanding maps, http://dx.doi.org/10.1088/1361-6544/aaaf4b
, 2016, A dynamic Laplacian for identifying Lagrangian coherent structures on weighted Riemannian manifolds, http://dx.doi.org/10.1007/s00332-017-9397-y
, 2016, Optimal mixing enhancement, http://arxiv.org/abs/1610.01651v2
, 2016, Hölder continuity of Oseledets splittings for semi-invertible operator cocycles, http://dx.doi.org/10.1017/etds.2016.55
, 2015, Estimating long-term behavior of periodically driven flows without trajectory integration, http://dx.doi.org/10.1088/1361-6544/aa6693
, 2015, On fast computation of finite-time coherent sets using radial basis functions, http://dx.doi.org/10.1063/1.4927640
, 2015, A rough-and-ready cluster-based approach for extracting finite-time coherent sets from sparse and incomplete trajectory data, http://arxiv.org/abs/1505.04583v2
, 2014, A trajectory-free framework for analysing multiscale systems, http://arxiv.org/abs/1412.7268v1
, 2014, Dynamic isoperimetry and the geometry of Lagrangian coherent structures, http://dx.doi.org/10.48550/arxiv.1411.7186
, 2013, A computational method to extract macroscopic variables and their dynamics in multiscale systems, http://arxiv.org/abs/1310.8001v2
, 2013, Stochastic stability of Lyapunov exponents and Oseledets splittings for semi-invertible matrix cocycles, http://arxiv.org/abs/1310.2398v1
, 2012, Stability and approximation of random invariant densities for Lasota-Yorke map cocycles, http://arxiv.org/abs/1212.2247v1
, 2012, An analytic framework for identifying finite-time coherent sets in time-dependent dynamical systems, http://dx.doi.org/10.48550/arxiv.1210.7418
, 2012, Ulam's method for Lasota-Yorke maps with holes, http://arxiv.org/abs/1204.2329v2
, 2012, Computing covariant vectors, Lyapunov vectors, Oseledets vectors, and dichotomy projectors: a comparative numerical study, http://dx.doi.org/10.48550/arxiv.1204.0871
, 2011, Metastability, Lyapunov exponents, escape rates, and topological entropy in random dynamical systems, http://dx.doi.org/10.48550/arxiv.1106.1954
, 2011, Estimating long term behavior of flows without trajectory integration: the infinitesimal generator approach, http://dx.doi.org/10.48550/arxiv.1101.4166
, 2010, Spectral degeneracy and escape dynamics for intermittent maps with a hole, http://dx.doi.org/10.48550/arxiv.1012.2149
, 2010, Transport in time-dependent dynamical systems: Finite-time coherent sets, http://dx.doi.org/10.48550/arxiv.1008.1613
, 2010, Optimally coherent sets in geophysical flows: A new approach to delimiting the stratospheric polar vortex, http://dx.doi.org/10.48550/arxiv.1004.3596
, 2010, A semi-invertible Oseledets Theorem with applications to transfer operator cocycles, http://dx.doi.org/10.48550/arxiv.1001.5313
, 2009, Coherent sets for nonautonomous dynamical systems, http://dx.doi.org/10.48550/arxiv.0911.0717
, 2008, Coherent structures and isolated spectrum for Perron-Frobenius cocycles, http://dx.doi.org/10.48550/arxiv.0804.1426