Select Publications
Preprints
2023, Universal Gap Growth for Lyapunov Exponents of Perturbed Matrix Products, , http://arxiv.org/abs/2312.03181v1
,2023, Compound Poisson statistics for dynamical systems via spectral perturbation, , http://arxiv.org/abs/2308.10798v2
,2023, A dynamic $p$-Laplacian, , http://dx.doi.org/10.48550/arxiv.2308.05947
,2023, Revealing trends and persistent cycles of non-autonomous systems with operator-theoretic techniques: Applications to past and present climate dynamics, , http://arxiv.org/abs/2308.04045v1
,2023, Thermodynamic Formalism and Perturbation Formulae for Quenched Random Open Dynamical Systems, , http://arxiv.org/abs/2307.00774v1
,2022, Perturbation formulae for quenched random dynamics with applications to open systems and extreme value theory, , http://arxiv.org/abs/2206.02471v1
,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/10.48550/arxiv.2108.00683
,2021, Equilibrium states for non-transitive random open and closed dynamical systems, , http://dx.doi.org/10.48550/arxiv.2107.03776
,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/10.48550/arxiv.2103.16286
,2021, Thermodynamic Formalism for Random Interval Maps with Holes, , http://dx.doi.org/10.48550/arxiv.2103.04712
,2021, Optimal linear response for Markov Hilbert-Schmidt integral operators and stochastic dynamical systems, , http://dx.doi.org/10.48550/arxiv.2101.09411
,2020, Angular values of nonautonomous and random linear dynamical systems: Part I -- Fundamentals, , http://dx.doi.org/10.48550/arxiv.2012.11305
,2020, Thermodynamic Formalism for Random Weighted Covering Systems, , http://dx.doi.org/10.48550/arxiv.2002.11421
,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://dx.doi.org/10.48550/arxiv.1906.07634
,2019, Fourier approximation of the statistical properties of Anosov maps on tori, , http://dx.doi.org/10.48550/arxiv.1906.04905
,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://dx.doi.org/10.48550/arxiv.1812.07340
,2018, Sparse eigenbasis approximation: multiple feature extraction across spatiotemporal scales with application to coherent set identification, , http://dx.doi.org/10.48550/arxiv.1812.02787
,2018, Stability and approximation of statistical limit laws for multidimensional piecewise expanding maps, , http://dx.doi.org/10.48550/arxiv.1808.09524
,2018, Lagrangian geography of the deep Gulf of Mexico, , http://dx.doi.org/10.48550/arxiv.1804.06843
,2018, Optimal linear responses for Markov chains and stochastically perturbed dynamical systems, , http://dx.doi.org/10.48550/arxiv.1801.03234
,2017, Robust FEM-based extraction of finite-time coherent sets using scattered, sparse, and incomplete trajectories, , http://dx.doi.org/10.48550/arxiv.1705.03640
,2017, A spectral approach for quenched limit theorems for random expanding dynamical systems, , http://dx.doi.org/10.48550/arxiv.1705.02130
,2017, A Critical Comparison of Lagrangian Methods for Coherent Structure Detection, , http://dx.doi.org/10.48550/arxiv.1704.05716
,2017, Lagrangian dynamical geography of the Gulf of Mexico, , http://dx.doi.org/10.48550/arxiv.1703.10684
,2017, Hilbert Space Lyapunov Exponent stability, , http://dx.doi.org/10.48550/arxiv.1703.04841
,2016, Almost sure invariance principle for random piecewise expanding maps, , http://dx.doi.org/10.48550/arxiv.1611.04003
,2016, A dynamic Laplacian for identifying Lagrangian coherent structures on weighted Riemannian manifolds, , http://dx.doi.org/10.48550/arxiv.1610.01128
,2016, Optimal mixing enhancement, , http://dx.doi.org/10.48550/arxiv.1610.01651
,2016, Hölder continuity of Oseledets splittings for semi-invertible operator cocycles, , http://dx.doi.org/10.48550/arxiv.1603.01421
,2015, Estimating long-term behavior of periodically driven flows without trajectory integration, , http://dx.doi.org/10.48550/arxiv.1511.07272
,2015, On fast computation of finite-time coherent sets using radial basis functions, , http://dx.doi.org/10.48550/arxiv.1505.05056
,2015, A rough-and-ready cluster-based approach for extracting finite-time coherent sets from sparse and incomplete trajectory data, , http://dx.doi.org/10.48550/arxiv.1505.04583
,2014, A trajectory-free framework for analysing multiscale systems, , http://dx.doi.org/10.48550/arxiv.1412.7268
,2013, A computational method to extract macroscopic variables and their dynamics in multiscale systems, , http://dx.doi.org/10.48550/arxiv.1310.8001
,2013, Stochastic stability of Lyapunov exponents and Oseledets splittings for semi-invertible matrix cocycles, , http://dx.doi.org/10.48550/arxiv.1310.2398
,2012, Stability and approximation of random invariant densities for Lasota-Yorke map cocycles, , http://dx.doi.org/10.48550/arxiv.1212.2247
,2012, Ulam's method for Lasota-Yorke maps with holes, , http://dx.doi.org/10.48550/arxiv.1204.2329
,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
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