Prof. Dr. Carsten Hartmann

Freie Universität Berlin
Institut für Mathematik
Arnimallee 6 – room 113
14195 Berlin, Germany

Fon: +49 (30) 838 75286
Fax: +49 (30) 838 75412

chartman@mi.fu-berlin.de
   


I am Assistant Professor of Mathematics and head of the Computational Stochastics group at the Department of Mathematics and Computer Science at Freie Universität Berlin, project leader at the DFG Research Center Matheon and member of the Biocomputing group at the Institute of Mathematics. My focus of interest is on the multiscale analysis of stochastic and deterministic dynamical systems for biological applications. In particular, I am investigating model reduction techniques for classical molecular systems and cellular systems as well as sampling methods for systems with state space restrictions (e.g., holonomic constraints) or non-smooth contact dynamics (e.g., hard sphere collisions).

Research interests

  • Multiscale analysis of randomly perturbed dynamical systems

  • Structure-preserving model reduction of control systems

  • Free energy calculations and non-equilibrium statistical mechanics

  • Parameter estimation and non-Markovian processes

  • Stochastic modelling of biomembranes and cellular processes

  • Statistical mechanics of holonomically constrained dynamical systems

    • Articles

    • Optimal control of molecular dynamics using Markov state models
      Ch. Schütte, S. Winkelmann, and C. Hartmann
      to appear in Math. Program. (Series B) , 2012 ( pdf file of preprint)

    • Variational collision integrator for polymer chains
      S. Leyendecker, C. Hartmann, M. Koch
      J. Comput. Phys. 231, 3896-3911, 2012 ( pdf file of preprint)

    • Ambient space formulations and statistical mechanics of holonomically constrained Langevin systems
      J. Walter, C. Hartmann, and J. Maddocks
      Eur. Phys. J. Special Topics 200, 153-181, 2011 ( pdf file of preprint)

    • On two possible definitions of the free energy for collective variables
      C. Hartmann, J. Latorre and G. Ciccotti
      Eur. Phys. J. Special Topics 200, 73-89, 2011 ( pdf file of preprint)

    • Dimension reduction by balanced truncation: Application to light-induced control of open quantum systems
      B. Schäfer-Bung, C. Hartmann, B. Schmidt and Ch. Schütte
      J. Chem. Phys. 135, 014112, 2011 ( pdf file of preprint)

    • A Structure-preserving numerical discretization of reversible diffusions
      J. Latorre, Ph. Metzner, C. Hartmann and Ch. Schütte
      Commun. Math. Sci. 9, 1051-1072, 2011 ( pdf file of preprint)

    • Balanced model reduction of partially-observed Langevin equations: an averaging principle
      C. Hartmann
      Math. Comput. Model. Dyn. Syst. 17, 463-490, 2011 (pdf file of preprint)

    • Balanced model reduction of bilinear systems with applications to positive systems
      C. Hartmann, B. Schäfer-Bung and A. Zueva
      submitted to SIAM J. Control Optim., 2010 ( pdf file of preprint)

    • Free energy computation by controlled Langevin processes
      J. Latorre, C. Hartmann, Ch. Schütte
      Procedia Computer Science 1, pp. 1591-1600, 2010 (pdf file of preprint)

    • On the linear response of mechanical systems with constraints
      C. Hartmann, Ch. Schütte and G. Ciccotti
      J. Chem. Phys. 132, 111103, 2010 (pdf file of preprint)

    • Balanced truncation of linear second-order systems: A Hamiltonian approach
      C. Hartmann, V.-M. Vulcanov, Ch. Schütte
      Multiscale Model. Simul. 8, No. 4, pp. 1348 - 1367, 2010 (pdf file of preprint)

    • Balancing of dissipative Hamiltonian systems
      C. Hartmann
      In: Proceedings of MATHMOD 09, I.Troch and F. Breitenecker (eds.), ARGESIM Report 35, pp. 1244-1255, 2009 (pdf file of preprint)

    • Fast simulation of polymer chains
      C. Hartmann, Ch. Schütte, G.Kalibaeva, M. di Pierro, G. Ciccotti
      J. Chem. Phys. 130, 144101, 2009 (pdf file of reprint)

    • Conformation Dynamics
      Ch. Schütte, F. Noe, E. Meerbach, Ph. Metzner, C. Hartmann
      In: Proceedings of the 6th International Congress on Industrial and Applied Mathematics, I. Jeltsch and G. Wanner (eds.), pp. 297-335, 2009 (pdf file of preprint)

    • Balancing of partially-observed stochastic differential equations
      C. Hartmann, Ch. Schütte
      47th IEEE Conference on Decision and Control, pp. 4867-4872, 2008 (pdf file of reprint)

    • An ergodic sampling scheme for constrained Hamiltonian systems with applications to molecular dynamics
      C. Hartmann
      J. Stat. Phys. 130, No. 4, pp. 687-712, 2008 (pdf file of preprint)

    • Data-based parameter estimation of generalized multidimensional Langevin processes
      I. Horenko, F. Noe, C. Hartmann, Ch. Schütte
      Phys. Rev. E 76, 016706, 2007 (pdf file of reprint)

    • Comment on two distinct notions of free energy
      C. Hartmann, Ch. Schütte
      Physica D 228, No. 1, pp. 59-63, 2007 (pdf file of preprint)

    • A constrained hybrid Monte-Carlo algorithm and the problem of calculating the free energy in several variables
      C. Hartmann, Ch. Schütte
      Z. Angew. Math. Mech. 85, No. 10, pp. 700-710, 2005 (pdf file of preprint)

    • A geometric approach to constrained molecular dynamics and free energy
      C. Hartmann, Ch. Schütte
      Commun. Math. Sci. 3, No. 1, pp 1-20, 2005 (pdf file of reprint)

    • An averaging principle for fast degrees of freedom exhibiting long-term correlations
      Ch. Schütte, J. Walter, C. Hartmann, W. Huisinga
      Multiscale Model. Simul. 2, No. 3, pp. 501-526, 2004 (pdf file of reprint)

    Reports/Preprints

    • Variational collision integrators in forward dynamics and optimal control
      S. Leyendecker, C. Hartmann, M. Koch, G. Johnson, M. Ortiz
      Proceedings of the 7th International Conference Croatian Society of Mechanics (7ICCSM2012), 2012 (pdf file of preprint)

    • Computing free energy differences using conditioned diffusions
      C. Hartmann, J. Latorre
      Proceedings of the 11th Granada Seminar on Computational Physics (vol. 1332), pp. 218-220, 2011 (pdf file of preprint)

    • Structure-preserving model reduction of partially observed differential equations: molecular dynamics and beyond
      C. Hartmann
      Oberwolfach Reports 5, No. 2 "Atomistic models of materials", pp. 1111-1115, 2008 (pdf file of preprint)

    • Blind model reduction for high-dimensional time-dependent data
      I. Horenko, C. Hartmann
      Matheon Preprint #478, 2006 (pdf file of preprint)

    • A WKB approximation for the nonlinear Schrödinger-Newton equations
      C. Hartmann, H.-J. Schmidt
      Preprint, 2001 (pdf file of preprint)

    Theses

    Lecture Notes