The instanton method and its numerical implementation in fluid mechanics T Grafke, R Grauer, T Schäfer Journal of Physics A: Mathematical and Theoretical 48 (33), 333001, 2015 | 122 | 2015 |
Rogue waves and large deviations in deep sea G Dematteis, T Grafke, E Vanden-Eijnden Proceedings of the National Academy of Sciences 115 (5), 855-860, 2018 | 119 | 2018 |
Experimental evidence of hydrodynamic instantons: the universal route to rogue waves G Dematteis, T Grafke, M Onorato, E Vanden-Eijnden Physical Review X 9 (4), 041057, 2019 | 116 | 2019 |
Numerical computation of rare events via large deviation theory T Grafke, E Vanden-Eijnden Chaos: An Interdisciplinary Journal of Nonlinear Science 29 (6), 2019 | 105 | 2019 |
Numerical simulations of possible finite time singularities in the incompressible Euler equations: comparison of numerical methods T Grafke, H Homann, J Dreher, R Grauer Physica D: Nonlinear Phenomena 237 (14-17), 1932-1936, 2008 | 64 | 2008 |
Large deviations in fast–slow systems F Bouchet, T Grafke, T Tangarife, E Vanden-Eijnden Journal of Statistical Physics 162, 793-812, 2016 | 49 | 2016 |
Instanton filtering for the stochastic Burgers equation T Grafke, R Grauer, T Schäfer Journal of Physics A: Mathematical and Theoretical 46 (6), 062002, 2013 | 47 | 2013 |
Spatiotemporal self-organization of fluctuating bacterial colonies T Grafke, ME Cates, E Vanden-Eijnden Physical review letters 119 (18), 188003, 2017 | 40 | 2017 |
Long term effects of small random perturbations on dynamical systems: Theoretical and computational tools T Grafke, T Schäfer, E Vanden-Eijnden Recent progress and modern challenges in applied mathematics, modeling and …, 2017 | 38 | 2017 |
Dynamical landscape and multistability of a climate model G Margazoglou, T Grafke, A Laio, V Lucarini Proceedings of the Royal Society A 477 (2250), 20210019, 2021 | 36 | 2021 |
Extreme event quantification in dynamical systems with random components G Dematteis, T Grafke, E Vanden-Eijnden SIAM/ASA Journal on Uncertainty Quantification 7 (3), 1029-1059, 2019 | 33 | 2019 |
Arclength parametrized Hamilton's equations for the calculation of instantons T Grafke, R Grauer, T Schäfer, E Vanden-Eijnden Multiscale Modeling & Simulation 12 (2), 566-580, 2014 | 30 | 2014 |
Relevance of instantons in Burgers turbulence T Grafke, R Grauer, T Schäfer, E Vanden-Eijnden Europhysics Letters 109, 34003, 2015 | 28 | 2015 |
Efficient computation of instantons for multi-dimensional turbulent flows with large scale forcing T Grafke, R Grauer, S Schindel Communications in Computational Physics 18 (3), 577-592, 2015 | 19 | 2015 |
Spontaneous symmetry breaking for extreme vorticity and strain in the three-dimensional Navier–Stokes equations T Schorlepp, T Grafke, S May, R Grauer Philosophical Transactions of the Royal Society A 380 (2226), 20210051, 2022 | 17 | 2022 |
Sharp asymptotic estimates for expectations, probabilities, and mean first passage times in stochastic systems with small noise T Grafke, T Schäfer, E Vanden‐Eijnden Communications on Pure and Applied Mathematics 77 (4), 2268-2330, 2024 | 15 | 2024 |
Gel’fand–Yaglom type equations for calculating fluctuations around instantons in stochastic systems T Schorlepp, T Grafke, R Grauer Journal of Physics A: Mathematical and Theoretical 54 (23), 235003, 2021 | 15 | 2021 |
Instantons for rare events in heavy-tailed distributions M Alqahtani, T Grafke Journal of Physics A: Mathematical and Theoretical 54 (17), 175001, 2021 | 15 | 2021 |
Non-equilibrium transitions in multiscale systems with a bifurcating slow manifold T Grafke, E Vanden-Eijnden Journal of Statistical Mechanics: Theory and Experiment 2017 (9), 093208, 2017 | 13 | 2017 |
Time-irreversibility of the statistics of a single particle in a compressible turbulence T Grafke, A Frishman, G Falkovich Phys. Rev. E 91 91, 043022, 2015 | 11 | 2015 |