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Alex Blumenthal
Alex Blumenthal
Associate Professor at Georgia Tech
Bestätigte E-Mail-Adresse bei gatech.edu - Startseite
Titel
Zitiert von
Zitiert von
Jahr
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
762021
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
692022
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
592022
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
562017
A volume-based approach to the multiplicative ergodic theorem on Banach spaces
A Blumenthal
arXiv preprint arXiv:1502.06554, 2015
472015
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
45*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
382022
Entropy, volume growth and SRB measures for Banach space mappings
A Blumenthal, LS Young
Inventiones mathematicae 207 (2), 833-893, 2017
332017
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
302023
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
192018
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
182023
Equivalence of physical and SRB measures in random dynamical systems
A Blumenthal, LS Young
Nonlinearity 32 (4), 1494, 2019
122019
Characterization of dominated splittings for operator cocycles acting on Banach spaces
A Blumenthal, ID Morris
Journal of Differential Equations 267 (7), 3977-4013, 2019
11*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
71905
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
62022
Lyapunov exponents for random perturbations of coupled standard maps
A Blumenthal, J Xue, Y Yang
Communications in Mathematical Physics, 1-31, 2020
62020
Lower bounds on the Lyapunov exponents of stochastic differential equations
J Bedrossian, A Blumenthal, S Punshon-Smith
Proc. Int. Cong. Math 7, 5618-5654, 2022
52022
The Selgrade decomposition for linear semiflows on Banach spaces
A Blumenthal, Y Latushkin
Journal of Dynamics and Differential Equations 31 (3), 1427-1456, 2019
52019
Positive Lyapunov exponent for random perturbations of predominantly expanding multimodal circle maps
A Blumenthal, Y Yang
arXiv preprint arXiv:1805.09219, 2018
52018
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
42023
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