Journal publications
- M. Alqahtani, and T. Grafke, "Instantons for rare events in heavy-tailed distributions", (preprint) ArXiv (2020) (link)
- G. Ferré and T. Grafke, "Approximate optimal controls via instanton expansion for low temperature free energy computation", (submitted) ArXiv (2020) (link)
- G. Margazoglou, T. Grafke, A. Laio, and V. Lucarini, "Dynamical Landscape and Multistability of a Climate Model", (submitted) ArXiv (2020) (link)
- G. Dematteis, T. Grafke, M. Onorato, and E. Vanden-Eijnden, "Experimental Evidence of Hydrodynamic Instantons: The Universal Route to Rogue Waves", Phys. Rev. X 9 (2019), 041057 (link)
- G. Dematteis, T. Grafke, and E. Vanden-Eijnden, "Extreme event quantification in dynamical systems with random components", J. Uncertainty Quantification 7 (2019), 1029 (link)
- T. Grafke, and E. Vanden-Eijnden, "Numerical computation of rare events via large deviation theory", Chaos 29 (2019), 063118 (link)
- T. Grafke, "String Method for Generalized Gradient Flows: Computation of Rare Events in Reversible Stochastic Processes", J. Stat. Mech. 2019/4 (2019), 043206 (link)
- G. Dematteis, T. Grafke, and E. Vanden-Eijnden, "Rogue Waves and Large Deviations in Deep Sea", PNAS 115 (2018), 855-860 (link)
- T. Grafke, M. Cates, and E. Vanden-Eijnden, "Spatiotemporal Self-Organization of Fluctuating Bacterial Colonies", Phys. Rev. Lett. 119 (2017), 188003 (link)
- T. Grafke and E. Vanden-Eijnden, "Non-equilibrium transitions in multiscale systems with a bifurcating slow manifold", J. Stat. Mech. 2017/9 (2017), 093208 (link)
- T. Grafke, T. Schäfer, and E. Vanden-Eijnden, "Long Term Effects of Small Random Perturbations on Dynamical Systems: Theoretical and Computational Tools", Fields Institute Communications, In: Recent Progress and Modern Challenges in Applied Mathematics, Modeling and Computational Science (Springer, New York, NY) (2017) (link)
- F. Bouchet, T. Grafke, T. Tangarife, and E. Vanden-Eijnden, "Large Deviations in Fast-Slow Systems", J. Stat. Phys. 162 (2016), 793 (link)
- T. Grafke, R. Grauer, and S. Schindel, "Efficient Computation of Instantons for Multi-Dimensional Turbulent Flows with Large Scale Forcing", Commun. Comp. Phys. 18 (2015), 577 (link)
- T. Grafke, R. Grauer, and T. Schäfer, "The Instanton Method and its Numerical Implementation in Fluid Mechanics", J. Phys. A: Math. Theor. 48 (2015), 333001 (link)
- T. Grafke, A. Frishman, and G. Falkovich, "Time-irreversibility of the statistics of a single particle in a compressible turbulence", Phys. Rev. E 91 (2015), 043022 (link)
- T. Grafke, R. Grauer, T. Schaefer and E. Vanden-Eijnden, "Relevance of instantons in Burgers turbulence", EPL 109 (2015), 34003 (link)
- T. Grafke, R. Grauer, T. Schaefer and E. Vanden-Eijnden, "Arclength parametrized Hamilton's equations for the calculation of instantons", Multiscale Model. Simul. 12 (2014), 566 (link)
- T. Grafke and R. Grauer, "Lagrangian and geometric analysis of finite-time Euler singularities", Procedia IUTAM 9 (2013), 32 (link)
- T. Grafke, R. Grauer and T. Schaefer, "European Physics News Highlight: Instanton filtering for the stochastic Burgers equation", European Physics News 43 (2013) (link)
- T. Grafke, R. Grauer and T. Sideris, "Turbulence properties and global regularity of a modified Navier-Stokes equation", Physica D 254 (2013), 18 (link)
- T. Grafke, R. Grauer, and T. Schaefer, "Instanton filtering for the stochastic Burgers equation", J. Phys. A 46 (2013), 62002 (link)
- T. Grafke and R. Grauer, "Finite-Time Euler singularities: A Lagrangian perspective", Appl. Math. Letters 26 (2013), 500 (link)
- T. Grafke, H. Homann, J. Dreher and R. Grauer, "Numerical simulations of possible finite time singularities in the incompressible Euler equations: comparison of numerical methods", Physica D 237 (2008), 1932 (link)
Theses