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Number of items: 24.
Journal Article
Grafke, Tobias, SchΓ€fer, Tobias and VandenβEijnden, Eric (2024) Sharp asymptotic estimates for expectations, probabilities, and mean first passage times in stochastic systems with small noise. Communications on Pure and Applied Mathematics, 77 (4). pp. 2268-2330. doi:10.1002/cpa.22177 ISSN 0010-3640.
Grafke, Tobias and Laio, Alessandro (2024) Metadynamics for transition paths in irreversible dynamics. Multiscale Modeling and Simulation : A SIAM Interdisciplinary Journal, 22 (1). pp. 125-141. doi:10.1137/23M1563025 ISSN 1540-3459.
Schorlepp, Timo, Tong, Shanyin, Grafke, Tobias and Stadler, Georg (2023) Scalable methods for computing sharp extreme event probabilities in infinite-dimensional stochastic systems. Statistics and Computing, 33 (6). 137. doi:10.1007/s11222-023-10307-2 ISSN 1573-1375.
Sprittles, James E., Liu, Jingbang, Lockerby, Duncan A. and Grafke, Tobias (2023) Rogue nanowaves : a route to film rupture. Physical Review Fluids, 8 (9). L092001 . doi:10.1103/PhysRevFluids.8.L092001 ISSN 2469-990X.
Schorlepp, Timo, Grafke, Tobias and Grauer, Rainer (2023) Symmetries and zero modes in sample path large deviations. Journal of Statistical Physics, 190 . 50. doi:10.1007/s10955-022-03051-w ISSN 0022-4715.
Frishman, Anna and Grafke, Tobias (2022) A mechanism for turbulence proliferation. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 478 (2265). doi:10.1098/rspa.2022.0218 ISSN 1364-5021.
Alqahtani, Mnerh, Grigorio, Leonardo and Grafke, Tobias (2022) Extreme events and instantons in Lagrangian passive scalar turbulence models. Physical Review E, 106 (1). 015101. doi:10.1103/physreve.106.015101 ISSN 1539-3755.
Schorlepp, Timo, Grafke, Tobias, May, Sandra and Grauer, Rainer (2022) Symmetry breaking for extreme vorticity and strain in the 3D Navier-Stokes equations. Philosophical Transactions A: Mathematical, Physical and Engineering Sciences, 380 (2226). doi:10.1098/rsta.2021.0051 ISSN 1364-503X.
Frishman, Anna and Grafke, Tobias (2022) Dynamical landscape of transitional pipe flow. Physical Review E, 105 (4). 045108. doi:10.1103/PhysRevE.105.045108 ISSN 2470-0045.
FerrΓ©, GrΓ©goire and Grafke, Tobias (2021) Approximate optimal controls via instanton expansion for low temperature free energy computation. Multiscale Modeling and Simulation : A SIAM Interdisciplinary Journal, 19 (3). pp. 1310-1332. doi:10.1137/20M1385809 ISSN 1540-3459.
Margazoglou, Georgios, Grafke, Tobias, Laio, Alessandro and Lucarini, Valerio (2021) Dynamical landscape and multistability of a climate model. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 477 (2250). 20210019. doi:10.1098/rspa.2021.0019 ISSN 1364-5021.
Schorlepp, Timo, Grafke, Tobias and Grauer, Rainer (2021) Gelβfand-Yaglom type equations for calculating ο¬uctuations around instantons in stochastic systems. Journal of Physics A: Mathematical and Theoretical, 54 (23). 235003. doi:10.1088/1751-8121/abfb26 ISSN 1751-8113.
Alqahtani, Mnerh and Grafke, Tobias (2021) Instantons for rare events in heavy-tailed distributions. Journal of Physics A: Mathematical and Theoretical, 54 (17). 175001. doi:10.1088/1751-8121/abe67b ISSN 1751-8113.
Dematteis, Giovanni, Grafke, Tobias, Onorato, Miguel and Vanden-Eijnden, Eric (2019) Experimental evidence of hydrodynamic instantons : the universal route to rogue waves. Physical Review X, 9 (4). 041057. doi:10.1103/PhysRevX.9.041057 ISSN 2160-3308.
Dematteis, Giovanni, Grafke, Tobias and Vanden-Eijnden, Eric (2019) Extreme event quantification in dynamical systems with random components. SIAM/ASA Journal on Uncertainty Quantification, 7 (3). pp. 1029-1059. doi:10.1137/18M1211003 ISSN 2166-2525.
Grafke, Tobias and Vanden-Eijnden, Eric (2019) Numerical computation of rare events via large deviation theory. Chaos: An Interdisciplinary Journal of Nonlinear Science, 29 (6). 063118 . doi:10.1063/1.5084025 ISSN 1054-1500.
Grafke, Tobias (2019) String method for generalized gradient flows : computation of rare events in reversible stochastic processes. Journal of Statistical Mechanics: Theory and Experiment, 2019 . 043206. doi:10.1088/1742-5468/ab11db ISSN 1742-5468.
Dematteis, Giovanni, Grafke, Tobias and Vanden-Eijnden, Eric (2018) Rogue waves and large deviations in deep sea. Proceedings of the National Academy of Sciences of the United States of America, 115 (5). pp. 855-860. doi:10.1073/pnas.1710670115 ISSN 0027-8424.
Grafke, Tobias, Cates, Michael E. and Vanden-Eijnden, Eric (2017) Spatiotemporal self-organization of fluctuating bacterial colonies. Physical Review Letters, 119 (18). 188003 . doi:10.1103/PhysRevLett.119.188003 ISSN 0031-9007.
Grafke, Tobias and Vanden-Eijnden, Eric (2017) Non-equilibrium transitions between metastable fixed-points in slow-fast systems with a bifurcating slow manifold. Journal of Statistical Mechanics : Theory and Experiment, 2017 . 093208. doi:10.1088/1742-5468/aa85cb ISSN 1742-5468.
Bouchet, Freddy, Grafke, Tobias, Tangarife, TomΓ‘s and Vanden-Eijnden, Eric (2016) Large deviations in fastβslow systems. Journal of Statistical Physics, 162 (4). pp. 793-812. doi:10.1007/s10955-016-1449-4 ISSN 0022-4715.
Grafke, Tobias, Grauer, Rainer and SchΓ€fer, Tobias (2015) The instanton method and its numerical implementation in fluid mechanics. Journal of Physics A: Mathematical and Theoretical, 48 (33). 333001. doi:10.1088/1751-8113/48/33/333001 ISSN 1751-8113.
Grafke, Tobias, Grauer, R., SchΓ€fer, T. and Vanden-Eijnden, E. (2014) Arclength parametrized Hamilton's equations for the calculation of instantons. Multiscale Modeling & Simulation, 12 (2). pp. 566-580. doi:10.1137/130939158 ISSN 1540-3459.
Conference Item
Bujorianu, Manuela L., MacKay, Robert S., Grafke, Tobias, Naik, Shibabrat and Boulougouris, Evangelos (2021) A new stochastic framework for ship capsizing. In: STAB&S 2021, the 1st International Conference on the Stability and Safety of Ships and Ocean Vehicles, Virtual conference [Galsgow], 7-11 Jun 2021. Published in: Proceedings of the 1st International Conference on the Stability and Safety of Ships and Ocean Vehicles (In Press)
This list was generated on Fri Mar 29 06:09:15 2024 GMT.