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 - Delle Site, Luigi T1 - Editorial: Scale bridging in molecular simulation T2 - The European Physical Journal Special Topics Y1 - 2015 U6 - https://doi.org/10.1140/epjst/e2015-02406-y SN - 1951-6355 SN - 1951-6401 VL - 224 IS - 12 SP - 2173 EP - 2176 ER - TY - GEN A1 - Bittracher, Andreas A1 - Hartmann, Carsten A1 - Junge, Oliver A1 - Koltai, Péter T1 - Pseudo generators for under-resolved molecular dynamics T2 - The European Physical Journal Special Topics Y1 - 2015 U6 - https://doi.org/10.1140/epjst/e2015-02422-y SN - 1951-6355 SN - 1951-6401 VL - 224 IS - 12 SP - 2463 EP - 2490 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 - Banisch, Ralf A1 - Hartmann, Carsten T1 - A sparse Markov chain approximation of LQ-type stochastic control problems T2 - Mathematical Control and Related Fields Y1 - 2016 U6 - https://doi.org/10.3934/mcrf.2016007 SN - 2156-8499 SN - 2156-8472 VL - 6 IS - 3 SP - 363 EP - 389 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 - Agarwal, Animesh A1 - Zhu, Jinglong A1 - Hartmann, Carsten A1 - Wang, Han A1 - Delle Site, Luigi T1 - Molecular dynamics in a Grand Ensemble: Bergmann-Lebowitz model and adaptive resolution simulation T2 - New Journal of Physics Y1 - 2015 U6 - https://doi.org/10.1088/1367-2630/17/8/083042 SN - 1367-2630 VL - 17 ER - TY - JOUR A1 - Hartmann, Carsten T1 - Leimkuhler, Ben ; Matthews, Charles: Molecular Dynamics. With Deterministic and Stochastic Numerical Methods. Cham : Springer, 2015 JF - SIAM Review Y1 - 2016 SN - 1095-7200 VL - 58 IS - 3 SP - 586 EP - 588 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 - Schmidt, Burkhard A1 - Hartmann, Carsten T1 - WavePacket: A Matlab package for numerical quantum dynamics.II : Open quantum systems, optimal control, and model reduction T2 - Computer Physics Communications Y1 - 2018 U6 - https://doi.org/10.1016/j.cpc.2018.02.022 SN - 0010-4655 VL - 228 SP - 229 EP - 244 ER - TY - GEN A1 - Delle Site, Luigi A1 - Ciccotti, Giovanni A1 - Hartmann, Carsten T1 - Partitioning a macroscopic system into independent subsystems T2 - Journal of Statistical Mechanics: Theory and Experiment Y1 - 2017 U6 - https://doi.org/10.1088/1742-5468/aa75db SN - 1742-5468 VL - August ER - TY - GEN A1 - Donati, Lorenzo A1 - Hartmann, Carsten A1 - Keller, Bettina G. T1 - Girsanov reweighting for path ensembles and Markov state models T2 - The Journal of Chemical Physics Y1 - 2017 U6 - https://doi.org/10.1063/1.4989474 SN - 1089-7690 VL - 146 IS - 124 SP - 244112-1 EP - 244112-15 ER - TY - GEN A1 - Daraghmeh, Adnan A1 - Qatanani, Naji A1 - Hartmann, Carsten T1 - Optimal control of linear systems with balanced reduced-order models: Perturbation approximations T2 - Applied Mathematics and Computation Y1 - 2018 U6 - https://doi.org/10.1016/j.amc.2018.04.065 SN - 0096-3003 VL - 337 SP - 119 EP - 136 ER - TY - GEN A1 - Kebiri, Omar A1 - Neureither, Lara A1 - Hartmann, Carsten T1 - Singularly Perturbed Forward-Backward Stochastic Differential Equations: Application to the Optimal Control of Bilinear Systems T2 - Computation Y1 - 2018 U6 - https://doi.org/10.3390/computation6030041 SN - 2079-3197 VL - 6 IS - 3 SP - 41 EP - 41 ER - TY - GEN A1 - Hartmann, Carsten A1 - Neureither, Lara A1 - Sharma, Upanshu T1 - Coarse-graining of non-reversible stochastic differential equations: quantitative results and connections to averaging T2 - SIAM Journal on Mathematical Analysis Y1 - 2020 U6 - https://doi.org/10.1137/19M1299852 SN - 1095-7154 SN - 0036-1410 VL - 52 IS - 3 SP - 2689 EP - 2733 ER - TY - GEN A1 - Benner, Peter A1 - Breiten, Tobias A1 - Hartmann, Carsten A1 - Schmidt, Burkhard T1 - Model reduction of controlled Fokker-Planck and Liouville-von Neumann equations T2 - American Institute of Mathematical Sciences Y1 - 2020 U6 - https://doi.org/10.3934/jcd.2020001 SN - 2158-2491 SN - 2158-2505 VL - 7 IS - 1 SP - 1 EP - 33 ER - TY - GEN A1 - Hartmann, Carsten A1 - Kebiri, Omar A1 - Neureither, Lara A1 - Richter, Lorenz T1 - Variational approach to rare event simulation using least-squares regression T2 - Chaos: An Interdisciplinary Journal of Nonlinear Science Y1 - 2019 U6 - https://doi.org/10.1063/1.5090271 SN - 1089-7682 SN - 1054-1500 VL - 29 IS - 6 ER - TY - GEN A1 - Becker, Simon A1 - Hartmann, Carsten T1 - Infinite-dimensional bilinear and stochastic balanced truncation with explicit error bounds T2 - Mathematics of Control, Signals, and Systems Y1 - 2019 U6 - https://doi.org/10.1007/s00498-019-0234-8 SN - 1435-568X SN - 0932-4194 VL - 31 IS - 2 ER - TY - GEN A1 - Mezdoud, Zaineb A1 - Hartmann, Carsten A1 - Remita, Mohamed Riad A1 - Kebiri, Omar T1 - α-Hypergeometric Uncertain Volatility Models and their Connection to 2BSDEs T2 - Bulletin of the Institute of Mathematics Academia Sinica : New series Y1 - 2021 U6 - https://doi.org/10.21915/BIMAS.2021304 SN - 2304-7909 SN - 2304-7895 VL - 16 IS - 3 SP - 263 EP - 288 ER - TY - GEN A1 - Redjil, Amel A1 - Gherbal, H. B. A1 - Kebiri, Omar T1 - Existence of relaxed stochastic optimal control for G-SDEs with controlled jumps T2 - Stochastic Analysis and Applications Y1 - 2021 U6 - https://doi.org/10.1080/07362994.2021.1991809 SN - 1532-9356 VL - Vol. 41 (2023) IS - 1 SP - 115 EP - 133 ER - TY - GEN A1 - Skeel, Robert D. A1 - Hartmann, Carsten T1 - Choice of Damping Coefficient in Langevin Dynamics T2 - The European Physical Journal. B Y1 - 2021 U6 - https://doi.org/10.1140/epjb/s10051-021-00182-z SN - 1434-6036 SN - 1434-6028 VL - 94 IS - 9 ER - TY - GEN A1 - Hartmann, Carsten A1 - Neureither, Lara A1 - Strehlau, Markus T1 - Reachability Analysis of Randomly Perturbed Hamiltonian Systems T2 - IFAC PapersOnLine Y1 - 2021 UR - https://www.sciencedirect.com/science/article/pii/S2405896321021194?via%3Dihub U6 - https://doi.org/10.1016/j.ifacol.2021.11.095 SN - 2405-8963 N1 - 7th IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control LHMNC 2021, Berlin, Germany, 11-13 October 2021 VL - 54 IS - 19 SP - 307 EP - 314 ER - TY - GEN A1 - Nüsken, Nikolas A1 - Richter, Lorenz T1 - Solving high-dimensional Hamilton-Jacobi-Bellman PDEs using neural networks: perspectives from the theory of controlled diffusions and measures on path space T2 - Partial Differential Equations and Applications Y1 - 2021 U6 - https://doi.org/10.1007/s42985-021-00102-x SN - 2662-2971 SN - 2662-2963 VL - 2 IS - 4 ER -