The instanton method and its numerical implementation in fluid mechanics
Grafke, Tobias, Grauer, Rainer, Schäfer, Tobias
Published in Journal of physics. A, Mathematical and theoretical (21.08.2015)
Published in Journal of physics. A, Mathematical and theoretical (21.08.2015)
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Journal Article
Experimental Evidence of Hydrodynamic Instantons: The Universal Route to Rogue Waves
Dematteis, Giovanni, Grafke, Tobias, Onorato, Miguel, Vanden-Eijnden, Eric
Published in Physical review. X (18.12.2019)
Published in Physical review. X (18.12.2019)
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Journal Article
Symmetries and Zero Modes in Sample Path Large Deviations
Schorlepp, Timo, Grafke, Tobias, Grauer, Rainer
Published in Journal of statistical physics (01.03.2023)
Published in Journal of statistical physics (01.03.2023)
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Journal Article
Scalable methods for computing sharp extreme event probabilities in infinite-dimensional stochastic systems
Schorlepp, Timo, Tong, Shanyin, Grafke, Tobias, Stadler, Georg
Published in Statistics and computing (01.12.2023)
Published in Statistics and computing (01.12.2023)
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Journal Article
Instantons for rare events in heavy-tailed distributions
Alqahtani, Mnerh, Grafke, Tobias
Published in Journal of physics. A, Mathematical and theoretical (30.04.2021)
Published in Journal of physics. A, Mathematical and theoretical (30.04.2021)
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Journal Article
Rogue waves and large deviations in deep sea
Dematteis, Giovanni, Grafke, Tobias, Vanden-Eijnden, Eric
Published in Proceedings of the National Academy of Sciences - PNAS (30.01.2018)
Published in Proceedings of the National Academy of Sciences - PNAS (30.01.2018)
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Journal Article
Optimal Transition Paths for AMOC Collapse and Recovery in a Stochastic Box Model
Soons, Jelle, Grafke, Tobias, Dijkstra, Henk A.
Published in Journal of physical oceanography (03.10.2024)
Published in Journal of physical oceanography (03.10.2024)
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Journal Article
Spontaneous symmetry breaking for extreme vorticity and strain in the three-dimensional Navier-Stokes equations
Schorlepp, Timo, Grafke, Tobias, May, Sandra, Grauer, Rainer
Published in Philosophical transactions of the Royal Society of London. Series A: Mathematical, physical, and engineering sciences (27.06.2022)
Published in Philosophical transactions of the Royal Society of London. Series A: Mathematical, physical, and engineering sciences (27.06.2022)
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Journal Article
Mean first passage times and Eyring–Kramers formula for fluctuating hydrodynamics
Liu, Jingbang, Sprittles, James E, Grafke, Tobias
Published in Journal of statistical mechanics (31.10.2024)
Published in Journal of statistical mechanics (31.10.2024)
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Journal Article
Spatiotemporal Self-Organization of Fluctuating Bacterial Colonies
Grafke, Tobias, Cates, Michael E, Vanden-Eijnden, Eric
Published in Physical review letters (03.11.2017)
Published in Physical review letters (03.11.2017)
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Journal Article
Instanton filtering for the stochastic Burgers equation
Grafke, Tobias, Grauer, Rainer, Schäfer, Tobias
Published in Journal of physics. A, Mathematical and theoretical (15.02.2013)
Published in Journal of physics. A, Mathematical and theoretical (15.02.2013)
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Journal Article