Physics-informed machine learning GE Karniadakis, IG Kevrekidis, L Lu, P Perdikaris, S Wang, L Yang Nature Reviews Physics 3 (6), 422-440, 2021 | 2421 | 2021 |

A data–driven approximation of the koopman operator: Extending dynamic mode decomposition MO Williams, IG Kevrekidis, CW Rowley Journal of Nonlinear Science 25, 1307-1346, 2015 | 1533 | 2015 |

Equation-free, coarse-grained multiscale computation: enabling microscopic simulators to perform system-level analysis IG Kevrekidis, CW Gear, JM Hyman, PG Kevrekidis, O Runborg, ... Commun. Math. Sci 1 (4), 715-762, 2003 | 915 | 2003 |

Diffusion maps, spectral clustering and reaction coordinates of dynamical systems B Nadler, S Lafon, RR Coifman, IG Kevrekidis Applied and Computational Harmonic Analysis 21 (1), 113-127, 2006 | 657 | 2006 |

Low‐dimensional models for complex geometry flows: Application to grooved channels and circular cylinders AE Deane, IG Kevrekidis, GE Karniadakis, SA Orszag Physics of Fluids A: Fluid Dynamics 3 (10), 2337-2354, 1991 | 627 | 1991 |

Diffusion maps, spectral clustering and eigenfunctions of Fokker-Planck operators B Nadler, S Lafon, I Kevrekidis, R Coifman Advances in neural information processing systems 18, 2005 | 575 | 2005 |

Equation‐free: The computer‐aided analysis of complex multiscale systems IG Kevrekidis, CW Gear, G Hummer AIChE Journal 50 (7), 1346-1355, 2004 | 467 | 2004 |

Back in the saddle again: a computer assisted study of the Kuramoto–Sivashinsky equation IG Kevrekidis, B Nicolaenko, JC Scovel SIAM Journal on Applied Mathematics 50 (3), 760-790, 1990 | 376 | 1990 |

Extended dynamic mode decomposition with dictionary learning: A data-driven adaptive spectral decomposition of the Koopman operator Q Li, F Dietrich, EM Bollt, IG Kevrekidis Chaos: An Interdisciplinary Journal of Nonlinear Science 27 (10), 2017 | 356 | 2017 |

Inherent noise can facilitate coherence in collective swarm motion CA Yates, R Erban, C Escudero, ID Couzin, J Buhl, IG Kevrekidis, ... Proceedings of the National Academy of Sciences 106 (14), 5464-5469, 2009 | 350 | 2009 |

Approximate inertial manifolds for the Kuramoto-Sivashinsky equation: analysis and computations MS Jolly, IG Kevrekidis, ES Titi Physica D: Nonlinear Phenomena 44 (1-2), 38-60, 1990 | 334 | 1990 |

Equation-free multiscale computation: Algorithms and applications IG Kevrekidis, G Samaey Annual review of physical chemistry 60, 321-344, 2009 | 322 | 2009 |

A kernel-based approach to data-driven Koopman spectral analysis MO Williams, CW Rowley, IG Kevrekidis arXiv preprint arXiv:1411.2260, 2014 | 319 | 2014 |

Projective methods for stiff differential equations: problems with gaps in their eigenvalue spectrum CW Gear, IG Kevrekidis SIAM Journal on Scientific Computing 24 (4), 1091-1106, 2003 | 310 | 2003 |

Diffusion maps, reduction coordinates, and low dimensional representation of stochastic systems RR Coifman, IG Kevrekidis, S Lafon, M Maggioni, B Nadler Multiscale Modeling & Simulation 7 (2), 842-864, 2008 | 307 | 2008 |

“Coarse” stability and bifurcation analysis using time-steppers: A reaction-diffusion example C Theodoropoulos, YH Qian, IG Kevrekidis Proceedings of the National Academy of Sciences 97 (18), 9840-9843, 2000 | 307 | 2000 |

On the computation of inertial manifolds C Foias, MS Jolly, IG Kevrekidis, GR Sell, ES Titi Physics Letters A 131 (7-8), 433-436, 1988 | 303 | 1988 |

Coarse molecular dynamics of a peptide fragment: Free energy, kinetics, and long-time dynamics computations G Hummer, IG Kevrekidis The Journal of chemical physics 118 (23), 10762-10773, 2003 | 279 | 2003 |

Data-driven model reduction and transfer operator approximation S Klus, F Nüske, P Koltai, H Wu, I Kevrekidis, C Schütte, F Noé Journal of Nonlinear Science 28, 985-1010, 2018 | 261 | 2018 |

Bistability and oscillations in the Huang-Ferrell model of MAPK signaling L Qiao, RB Nachbar, IG Kevrekidis, SY Shvartsman PLoS computational biology 3 (9), e184, 2007 | 256 | 2007 |