Almost-sure enhanced dissipation and uniform-in-diffusivity exponential mixing for advection–diffusion by stochastic Navier–Stokes J Bedrossian, A Blumenthal, S Punshon-Smith Probability Theory and Related Fields 179 (3), 777-834, 2021 | 59 | 2021 |

Almost-sure exponential mixing of passive scalars by the stochastic Navier–Stokes equations J Bedrossian, A Blumenthal, S Punshon-Smith The Annals of Probability 50 (1), 241-303, 2022 | 55 | 2022 |

Lyapunov exponents for random perturbations of some area-preserving maps including the standard map A Blumenthal, J Xue, LS Young Annals of Mathematics 185 (1), 285-310, 2017 | 51 | 2017 |

The Batchelor spectrum of passive scalar turbulence in stochastic fluid mechanics at fixed Reynolds number J Bedrossian, A Blumenthal, S Punshon‐Smith Communications on Pure and Applied Mathematics 75 (6), 1237-1291, 2022 | 46 | 2022 |

A volume-based approach to the multiplicative ergodic theorem on Banach spaces A Blumenthal arXiv preprint arXiv:1502.06554, 2015 | 43 | 2015 |

Lagrangian chaos and scalar advection in stochastic fluid mechanics J Bedrossian, A Blumenthal, S Punshon-Smith Journal of the European Mathematical Society 24 (6), 1893-1990, 2022 | 33* | 2022 |

A regularity method for lower bounds on the Lyapunov exponent for stochastic differential equations J Bedrossian, A Blumenthal, S Punshon-Smith Inventiones mathematicae 227 (2), 429-516, 2022 | 28 | 2022 |

Entropy, volume growth and SRB measures for Banach space mappings A Blumenthal, LS Young Inventiones mathematicae 207 (2), 833-893, 2017 | 28 | 2017 |

Exponential mixing for random dynamical systems and an example of Pierrehumbert A Blumenthal, M Coti Zelati, RS Gvalani The Annals of Probability 51 (4), 1559-1601, 2023 | 16 | 2023 |

Lyapunov exponents and correlation decay for random perturbations of some prototypical 2D maps A Blumenthal, J Xue, LS Young Communications in Mathematical Physics 359, 347-373, 2018 | 16 | 2018 |

On the pitchfork bifurcation for the Chafee–Infante equation with additive noise A Blumenthal, M Engel, A Neamţu Probability Theory and Related Fields 187 (3), 603-627, 2023 | 13 | 2023 |

Equivalence of physical and SRB measures in random dynamical systems A Blumenthal, LS Young Nonlinearity 32 (4), 1494, 2019 | 11 | 2019 |

Characterization of dominated splittings for operator cocycles acting on Banach spaces A Blumenthal, ID Morris Journal of Differential Equations 267 (7), 3977-4013, 2019 | 8* | 2019 |

Almost-sure exponential mixing of passive scalars by the stochastic Navier–Stokes equations (2019) J Bedrossian, A Blumenthal, S Punshon-Smith arXiv preprint arXiv:1905.03869, 1905 | 7 | 1905 |

Lyapunov exponents for random perturbations of coupled standard maps A Blumenthal, J Xue, Y Yang Communications in Mathematical Physics, 1-31, 2020 | 4 | 2020 |

Positive Lyapunov exponent for random perturbations of predominantly expanding multimodal circle maps A Blumenthal, Y Yang arXiv preprint arXiv:1805.09219, 2018 | 4 | 2018 |

Absolute continuity of stable foliations for mappings of Banach spaces A Blumenthal, LS Young Communications in Mathematical Physics 354, 591-619, 2017 | 4 | 2017 |

On the norm equivalence of Lyapunov exponents for regularizing linear evolution equations A Blumenthal, S Punshon-Smith Archive for Rational Mechanics and Analysis 247 (5), 97, 2023 | 3 | 2023 |

Positive Lyapunov exponent for random perturbations of predominantly expanding multimodal circle maps A Blumenthal, Y Yang Annales de l'Institut Henri Poincaré C 39 (2), 419-455, 2022 | 3 | 2022 |

Lower bounds on the Lyapunov exponents of stochastic differential equations J Bedrossian, A Blumenthal, S Punshon-Smith arXiv preprint arXiv:2109.01227, 2021 | 3 | 2021 |