TY - GEN A1 - Schütte, Christof A1 - Walter, Jessika A1 - Hartmann, Carsten A1 - Huisinga, Wilhelm T1 - An Averaging Principle for Fast Degrees of Freedom Exhibiting Long-Term Correlations T2 - Multiscale Modeling & Simulation Y1 - 2004 U6 - https://doi.org/10.1137/030600308 SN - 1540-3467 VL - 2 IS - 3 SP - 501 EP - 526 ER - TY - GEN A1 - Hartmann, Carsten A1 - Schütte, Christof A1 - Weber, Marcus A1 - Zhang, Wei T1 - Importance sampling in path space for diffusion processes with slow-fast variables T2 - Probability Theory and Related Fields Y1 - 2018 U6 - https://doi.org/10.1007/s00440-017-0755-3 SN - 0178-8051 SN - 1432-2064 VL - 170 IS - 1-2 SP - 177 EP - 228 ER - TY - GEN A1 - Zhang, Wei A1 - Hartmann, Carsten A1 - Schütte, Christof T1 - Effective dynamics along given reaction coordinates, and reaction rate theory T2 - Faraday Discussions Y1 - 2016 U6 - https://doi.org/10.1039/C6FD00147E SN - 1359-6640 SN - 1364-5498 VL - 195 SP - 365 EP - 394 ER - TY - GEN A1 - Hartmann, Carsten A1 - Schütte, Christof A1 - Zhang, Wei T1 - Model reduction algorithms for optimal control and importance sampling of diffusions T2 - Nonlinearity Y1 - 2016 U6 - https://doi.org/10.1088/0951-7715/29/8/2298 SN - 1361-6544 SN - 0951-7715 VL - 29 IS - 8 SP - 2298 EP - 2326 ER - TY - GEN A1 - Hartmann, Carsten A1 - Richter, Lorenz A1 - Schütte, Christof A1 - Zhang, Wei T1 - Variational characterization of free energy: theory and algorithms T2 - Entropy Y1 - 2017 U6 - https://doi.org/10.3390/e19110626 SN - 1099-4300 N1 - Special Issue "Understanding Molecular Dynamics via Stochastic Processes" VL - 19 IS - 11 ER - TY - GEN A1 - Hartmann, Carsten A1 - Schütte, Christof A1 - Zhang, Wei T1 - Jarzysnki equality, fluctuation theorems and variance reduction: Mathematical analysis and numerical algorithms T2 - Journal of Statistical Physics Y1 - 2019 U6 - https://doi.org/10.1007/s10955-019-02286-4 SN - 1572-9613 SN - 0022-4715 VL - 175 IS - 6 SP - 1214 EP - 1261 ER - TY - GEN A1 - Schütte, Christof A1 - Klus, Stefan A1 - Hartmann, Carsten T1 - Overcoming the Timescale Barrier in Molecular Dynamics: Transfer Operators, Variational Principles, and Machine Learning T2 - Acta Numerica Y1 - 2023 U6 - https://doi.org/10.1017/S0962492923000016 SN - 1474-0508 SN - 0962-4929 VL - Vol. 32 SP - 517 EP - 673 ER -