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Article

Delle Site, Luigi and Hartmann, Carsten (2024) Computationally feasible bounds for the free energy of nonequilibrium steady states, applied to simple models of heat conduction. Molecular Physics .

Hartmann, Carsten and Jöster, Annika (2024) Risk-neutral limit of adaptive importance sampling of random stopping times. Submitted to 26th International Symposium on Mathematical Theory of Networks and Systems . (Submitted)

Delle Site, Luigi and Hartmann, Carsten (2024) Scaling law for the size dependence of a finite-range quantum gas. Physical Review A, 109 (2).

Delle Site, Luigi and Hartmann, Carsten (2024) Scaling law for the size dependence of a short-ranged quantum gas. Physical Review A, 109 .

Reible, Benedikt M. and Hille, Julian F. and Hartmann, Carsten and Delle Site, Luigi (2023) Finite-size effects and thermodynamic accuracy in many-particle systems. Physical Review Research, 5 (2).

Schütte, Christof and Klus, Stefan and Hartmann, Carsten (2023) Overcoming the Timescale Barrier in Molecular Dynamics: Transfer Operators, Variational Principles, and Machine Learning. Acta Numerica, 32 . pp. 517-673.

Reible, Benedikt and Hartmann, Carsten and Delle Site, Luigi (2022) Two-sided Bogoliubov inequality to estimate finite size effects in quantum molecular simulations. Letters in Mathematical Physics, 112 (97).

Becker, Simon and Hartmann, Carsten and Redmann, Martin and Richter, Lorenz (2022) Error bounds for model reduction of feedback-controlled linear stochastic dynamics on Hilbert spaces. Stochastic Processes and their Applications, 149 . pp. 107-141.

Breiten, T. and Hartmann, Carsten and Neureither, Lara and Sharma, Upanshu (2021) Stochastic gradient descent and fast relaxation to thermodynamic equilibrium: a stochastic control approach. Journal of Mathematical Physics, 62 (12). pp. 1-19.

Hartmann, Carsten and Neureither, Lara and Stehlau, Markus (2021) Reachability Analysis of Randomly Perturbed Hamiltonian Systems. IFAC-PapersOnLine, 54 (19). pp. 307-3014.

Bouanani, Hafida and Hartmann, Carsten and Kebiri, Omar (2021) Model reduction and uncertainty quantification of multiscale diffusions with parameter uncertainties using nonlinear expectations. arXive . pp. 1-22. (Submitted)

Hartmann, Carsten and Neureither, Lara and Sharma, Upanshu (2020) Coarse-graining of non-reversible stochasticdifferential equations: quantitative results and connections to averaging. SIAM Journal on Numerical Analysis, 52 (3). pp. 2689-2733. ISSN 0036-1429

Becker, Simon and Hartmann, Carsten and Redmann, Martin and Richter, Lorenz (2019) Feedback control theory & Model order reduction for stochastic equations. ArXive . pp. 1-36. (Submitted)

Hartmann, Carsten and Kebiri, Omar and Neureither, Lara and Richter, Lorenz (2019) Variational approach to rare event simulation using least-squares regression. Chaos, 29 (6). ISSN 1054-1500 (print); 1089-7682 (online)

Book Section

Kebiri, Omar and Neureither, Lara and Hartmann, Carsten (2019) Adaptive importance sampling with forward-backward stochastic differential equations. In: Stochastic Dynamics Out of Equilibrium. Springer Proceedings in Mathematics & Statistics, 282 . Springer International Publishing, pp. 265-281. ISBN 978-3-030-15095-2