C. Hartmann

发表

Balancing of dissipative Hamiltonian systems

Carsten Hartmann, C. Hartmann, 2009 .

Efficient rare event simulation by optimal nonequilibrium forcing

C. Schütte, Christof Schutte, C. Hartmann, 2012, 1208.3232.

Jarzynski’s Equality, Fluctuation Theorems, and Variance Reduction: Mathematical Analysis and Numerical Algorithms

C. Schütte, C. Hartmann, Wei Zhang, 2018, Journal of Statistical Physics.

Pseudo generators for under-resolved molecular dynamics

O. Junge, P. Koltai, C. Hartmann, 2015, 1502.01191.

Pseudo generators for under-resolved molecular dynamics What does the Smoluchowski equation tell us about the spatial dynamics of molecular systems ?

O. Junge, P. Koltai, C. Hartmann, 2015 .

Model Reduction in Classical Molecular Dynamics

C. Hartmann, 2007 .

An Ergodic Sampling Scheme for Constrained Hamiltonian Systems with Applications to Molecular Dynamics

Carsten Hartmann, C. Hartmann, 2008 .

A structure-preserving numerical discretization of reversible diffusions

Carsten Hartmann, Juan C. Latorre, Philipp Metzner, 2011 .

Blind model reduction for high-dimensional time-dependent data

I. Horenko, C. Hartmann, 2006 .

A GEOMETRIC APPROACH TO CONSTRAINED MOLECULAR DYNAMICS AND FREE ENERGY

Carsten Hartmann, Christof Schütte, C. Schütte, 2005 .

Comment on two distinct notions of free energy

Carsten Hartmann, Christof Schütte, C. Schütte, 2007 .

Fast simulation of polymer chains.

C. Schütte, G. Ciccotti, M. Di Pierro, 2009, The Journal of chemical physics.

Time Scales and Exponential Trend to Equilibrium: Gaussian Model Problems

C. Hartmann, Lara Neureither, 2017, Stochastic Dynamics Out of Equilibrium.

Model reduction of controlled Fokker–Planck and Liouville–von Neumann equations

P. Benner, C. Hartmann, T. Breiten, 2017, Journal of Computational Dynamics.

How long will it take ? – Long , but not infinitely long ” Modelling the long-term dynamics of stochastic evolutionary games

C. Hartmann, M. Hallier, 2018 .

A Markov state modelling approach to characterizing the punctuated equilibrium dynamics of stochastic evolutionary games

C. Hartmann, M. Hallier, 2016 .

Constructing Markov State Models of Reduced Complexity from Agent-Based Simulation Data

C. Hartmann, M. Hallier, 2016 .

Two-sided Bogoliubov inequality to estimate finite size effects in quantum molecular simulations

C. Hartmann, L. Site, Benedikt Reible, 2021, 2111.10282.

Variational collision integrators in forward dynamics and optimal control

S. Leyendecker, M. Ortiz, C. Hartmann, 2012 .

Two-sided Bogoliubov inequality to estimate finite size effects in quantum molecular simulations

L. Delle Site, C. Hartmann, Benedikt Reible, 2021, Letters in Mathematical Physics.

Importance sampling in path space for diffusion processes with slow-fast variables

C. Schütte, C. Hartmann, Wei Zhang, 2017, Probability Theory and Related Fields.

Lecture notes on singularly perturbed differential equations (edited by Sebastian John) Singularly perturbed differential equations

C. Hartmann, 2010 .

Jarzynski’s Equality, Fluctuation Theorems, and Variance Reduction: Mathematical Analysis and Numerical Algorithms

C. Schütte, C. Hartmann, Wei Zhang, 2019, Journal of Statistical Physics.

Linear response theory and optimal control for a molecular system under non-equilibrium conditions

Carsten Hartmann, Christof Schütte, Han Wang, 2013 .

Communications: On the linear response of mechanical systems with constraints.

C. Schütte, G. Ciccotti, C. Hartmann, 2010, The Journal of chemical physics.

Variational Characterization of Free Energy: Theory and Algorithms

Carsten Hartmann, Lorenz Richter, Christof Schütte, 2017, Entropy.

Variational collision integrator for polymer chains

Carsten Hartmann, Sigrid Leyendecker, Michael Koch, 2012, J. Comput. Phys..

Markov State Models for Rare Events in Molecular Dynamics

Carsten Hartmann, Christof Schütte, Ralf Banisch, 2013, Entropy.

Learning Inverse Statics Models Efficiently pdf

Jochen J. Steil, Carsten Hartmann, Daniel Kubus, 2017, ArXiv.

Data-based parameter estimation of generalized multidimensional Langevin processes.

Carsten Hartmann, Illia Horenko, Christof Schütte, 2007, Physical review. E, Statistical, nonlinear, and soft matter physics.

Stochastic gradient descent and fast relaxation to thermodynamic equilibrium: A stochastic control approach

C. Hartmann, T. Breiten, U. Sharma, 2021, Journal of Mathematical Physics.

Balanced model reduction of linear systems with nonzero initial conditions: Singular perturbation approximation

Naji Qatanani, Carsten Hartmann, Adnan Daraghmeh, 2019, Appl. Math. Comput..

Balanced Truncation of Linear Second-Order Systems: A Hamiltonian Approach

Carsten Hartmann, Christof Schütte, Valentina-Mira Vulcanov, 2010, Multiscale Model. Simul..

A sparse Markov chain approximation of LQ-type stochastic control problems

Carsten Hartmann, Ralf Banisch, C. Hartmann, 2016 .

On two possible definitions of the free energy for collective variables

G. Ciccotti, C. Hartmann, J. C. Latorre, 2011 .

Effective dynamics along given reaction coordinates, and reaction rate theory.

C. Schütte, C. Hartmann, Wei Zhang, 2016, Faraday discussions.

Applications of the Cross-Entropy Method to Importance Sampling and Optimal Control of Diffusions

Han Wang, Marcus Weber, Carsten Hartmann, 2014, SIAM J. Sci. Comput..

Variational approach to rare event simulation using least-squares regression.

Carsten Hartmann, Lorenz Richter, Omar Kebiri, 2019, Chaos.

Balanced model reduction of partially observed Langevin equations: an averaging principle

Carsten Hartmann, C. Hartmann, 2011 .

Model reduction algorithms for optimal control and importance sampling of diffusions

C. Schütte, C. Hartmann, Wei Zhang, 2016 .

Characterization of Rare Events in Molecular Dynamics

Carsten Hartmann, Christof Schütte, Ralf Banisch, 2013, Entropy.

WavePacket: A Matlab package for numerical quantum dynamics.II: Open quantum systems, optimal control, and model reduction

Carsten Hartmann, Burkhard Schmidt, C. Hartmann, 2017, Comput. Phys. Commun..

Grand-canonical-like molecular-dynamics simulations by using an adaptive-resolution technique

Carsten Hartmann, Han Wang, Christof Schutte, 2013, 1301.4802.

Long Short-Term Memory Neural Network for Temperature Prediction in Laser Powder Bed Additive Manufacturing

Ashkan Mansouri Yarahmadi, M. Breuß, C. Hartmann, 2023, IntelliSys.

Error bounds for model reduction of feedback-controlled linear stochastic dynamics on Hilbert spaces

C. Hartmann, Simon Becker, Martin Redmann, 2019, Stochastic Processes and their Applications.

Feedback control theory & Model order reduction for stochastic equations pdf

Simon Becker, Carsten Hartmann, Martin Redmann, 2019, ArXiv.

Coarse Graining of Nonreversible Stochastic Differential Equations: Quantitative Results and Connections to Averaging

C. Hartmann, U. Sharma, Lara Neureither, 2019, SIAM J. Math. Anal..

Molecular dynamics in a grand ensemble: Bergmann–Lebowitz model and adaptive resolution simulation

Carsten Hartmann, Animesh Agarwal, Luigi Delle Site, 2014, 1412.0866.

Importance sampling in path space for diffusion processes with slow-fast variables

C. Schütte, Marcus Weber, C. Hartmann, 2015, 1502.07899.

Girsanov reweighting for path ensembles and Markov state models.

L Donati, C Hartmann, B G Keller, 2017, The Journal of chemical physics.

Optimal control of Markov jump processes : Asymptotic analysis, algorithms and applications to the modelling of chemical reaction systems

Carsten Hartmann, Wei Zhang, Max von Kleist, 2015, 1512.00216.

Dimension reduction by balanced truncation: application to light-induced control of open quantum systems.

Carsten Hartmann, Christof Schütte, C. Schütte, 2011, The Journal of chemical physics.

Balanced Averaging of Bilinear Systems with Applications to Stochastic Control

Carsten Hartmann, Boris Schäfer-Bung, Anastasia Thöns-Zueva, 2013, SIAM J. Control. Optim..

Balancing of partially-observed stochastic differential equations

Carsten Hartmann, Christof Schütte, C. Schütte, 2008, 2008 47th IEEE Conference on Decision and Control.

Optimal control of linear systems with balanced reduced-order models: Perturbation approximations

Naji Qatanani, Carsten Hartmann, Adnan Daraghmeh, 2018, Appl. Math. Comput..

Optimal control of molecular dynamics using Markov state models

C. Schütte, S. Winkelmann, C. Hartmann, 2012, Math. Program..

Conformation Dynamics ∗

Carsten Hartmann, Christof Schütte, Eike Meerbach, 2008 .

Adaptive Importance Sampling with Forward-Backward Stochastic Differential Equations

Carsten Hartmann, Omar Kebiri, Lara Neureither, 2017, Stochastic Dynamics Out of Equilibrium.

Meshless discretization of LQ-type stochastic control problems

Carsten Hartmann, Ralf Banisch, C. Hartmann, 2013, 1309.7497.

Singularly Perturbed Forward-Backward Stochastic Differential Equations: Application to the Optimal Control of Bilinear Systems

Carsten Hartmann, Omar Kebiri, Lara Neureither, 2018, Comput..

A constrained hybrid Monte‐Carlo algorithm and the problem of calculating the free energy in several variables

Carsten Hartmann, Christof Schütte, C. Schütte, 2005 .

An Averaging Principle for Fast Degrees of Freedom Exhibiting Long-Term Correlations

Wilhelm Huisinga, Carsten Hartmann, Christof Schütte, 2004, Multiscale Model. Simul..

Scale bridging in molecular simulation

Carsten Hartmann, Luigi Delle Site, L. Delle Site, 2015 .

Transgressing the boundaries: towards a rigorous understanding of deep learning and its (non-)robustness

C. Hartmann, Lorenz Richter, 2023, arXiv.org.

Lecture notes for “ Introduction to Mathematical Modeling

C. Hartmann, N. Vercauteren, R. Banisch, 2017 .

Lecture notes for \Introduction to Mathematical Modeling" | NYU Berlin, Spring semester 2014

Carsten Hartmann, C. Hartmann, 2015 .

Free energy computation by controlled Langevin dynamics

Carsten Hartmann, Christof Schütte, Juan C. Latorre, 2010, ICCS.

Nonasymptotic bounds for suboptimal importance sampling pdf

Carsten Hartmann, Lorenz Richter, C. Hartmann, 2021, SIAM/ASA J. Uncertain. Quantification.

2 Set-up : balancing dissipative Hamiltonian systems

C. Hartmann, 2009 .

Model reduction and uncertainty quantification of multiscale diffusions with parameter uncertainties using nonlinear expectations

Carsten Hartmann, Omar Kebiri, Hafida Bouanani, 2021, 2102.04908.

ournal of Statistical Mechanics : J Theory and Experiment Efficient rare event simulation by optimal nonequilibrium forcing

C. Schütte, C. Hartmann, 2012 .

Effective dynamics along given reaction coordinates, and reaction rate theory.

C. Schütte, C. Hartmann, Wei Zhang, 2016, Faraday discussions.

WavePacket: A Matlab package for numerical quantum dynamics.II: Open quantum systems, optimal control, and model reduction

C. Hartmann, B. Schmidt, 2017, Comput. Phys. Commun..

The falling cat problem and shape effects in small molecules in a random environment: a case study

C. Hartmann, Tomohiro Yanao, 2013 .

Dimension reduction by balanced truncation: application to light-induced control of open quantum systems.

C. Schütte, C. Hartmann, B. Schmidt, 2011, The Journal of chemical physics.

Overcoming the timescale barrier in molecular dynamics: Transfer operators, variational principles and machine learning

C. Schütte, Stefan Klus, C. Hartmann, 2023, Acta Numerica.

Projection-based algorithms for optimal control and importance sampling of diffusions

C. Schütte, C. Hartmann, Wei Zhang, 2015 .

Infinite-dimensional bilinear and stochastic balanced truncation with explicit error bounds

Carsten Hartmann, Simon Becker, C. Hartmann, 2018, Math. Control. Signals Syst..

Konrad-zuse-zentrum F ¨ Ur Informationstechnik Berlin Characterization of Rare Events in Molecular Dynamics Characterization of Rare Events in Molecular Dynamics

C. Schütte, C. Hartmann, M. Sarich, 2022 .