<?xml version="1.0" encoding="utf-8"?>
<export-example>
  <doc>
    <id>4878</id>
    <completedYear/>
    <publishedYear>2013</publishedYear>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst>350</pageFirst>
    <pageLast>376</pageLast>
    <pageNumber/>
    <edition/>
    <issue>1</issue>
    <volume>16</volume>
    <type>article</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>--</completedDate>
    <publishedDate>--</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Characterization of Rare Events in Molecular Dynamics</title>
    <parentTitle language="eng">Entropy (Special Issue)</parentTitle>
    <identifier type="doi">10.3390/e16010350</identifier>
    <enrichment key="PeerReviewed">yes</enrichment>
    <enrichment key="PreprintUrn">urn:nbn:de:0297-zib-42410</enrichment>
    <enrichment key="SourceTitle">Appeared in: Entropy (Special Issue), 16 (2013), pp. 350-376</enrichment>
    <author>Carsten Hartmann</author>
    <submitter>Erlinda Körnig</submitter>
    <author>Ralf Banisch</author>
    <author>Marco Sarich</author>
    <author>Thomas Badowski</author>
    <author>Christof Schütte</author>
    <collection role="institutes" number="num">Numerical Mathematics</collection>
    <collection role="persons" number="schuette">Schütte, Christof</collection>
  </doc>
  <doc>
    <id>4880</id>
    <completedYear/>
    <publishedYear>2013</publishedYear>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst>258</pageFirst>
    <pageLast>286</pageLast>
    <pageNumber/>
    <edition/>
    <issue>1</issue>
    <volume>16</volume>
    <type>article</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>--</completedDate>
    <publishedDate>--</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Markov State Models for Rare Events in Molecular Dynamics</title>
    <parentTitle language="eng">Entropy (Special Issue)</parentTitle>
    <identifier type="doi">10.3390/e16010258</identifier>
    <enrichment key="PreprintUrn">urn:nbn:de:0297-zib-42420</enrichment>
    <enrichment key="PeerReviewed">Yes</enrichment>
    <author>Marco Sarich</author>
    <submitter>Erlinda Körnig</submitter>
    <author>Ralf Banisch</author>
    <author>Carsten Hartmann</author>
    <author>Christof Schütte</author>
    <collection role="institutes" number="num">Numerical Mathematics</collection>
    <collection role="persons" number="schuette">Schütte, Christof</collection>
    <collection role="projects" number="NonequiMSM">NonequiMSM</collection>
    <collection role="projects" number="SFB1114-A5">SFB1114-A5</collection>
  </doc>
  <doc>
    <id>4881</id>
    <completedYear/>
    <publishedYear>2013</publishedYear>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst>3555</pageFirst>
    <pageLast>3564</pageLast>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume>111</volume>
    <type>article</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>--</completedDate>
    <publishedDate>--</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Linear response theory and optimal control for a molecular system under nonequilibrium conditions</title>
    <parentTitle language="eng">Molecular Physics</parentTitle>
    <identifier type="doi">10.1080/00268976.2013.844370</identifier>
    <identifier type="url">http://publications.imp.fu-berlin.de/1297/</identifier>
    <enrichment key="PreprintUrn">urn:nbn:de:0297-zib-18944</enrichment>
    <enrichment key="PeerReviewed">Yes</enrichment>
    <author>Han Wang</author>
    <submitter>Erlinda Körnig</submitter>
    <author>Carsten Hartmann</author>
    <author>Christof Schütte</author>
    <collection role="institutes" number="num">Numerical Mathematics</collection>
    <collection role="persons" number="schuette">Schütte, Christof</collection>
  </doc>
  <doc>
    <id>6177</id>
    <completedYear/>
    <publishedYear>2017</publishedYear>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst>1</pageFirst>
    <pageLast>52</pageLast>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume/>
    <type>article</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>--</completedDate>
    <publishedDate>--</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Importance sampling in path space for diffusion processes with slow-fast variables</title>
    <abstract language="eng">Importance sampling is a widely used technique to reduce the variance of a Monte Carlo estimator by an appropriate change of measure. In this work, we study importance sampling in the framework of diffusion process and consider the change of measure which is realized by adding a control force to the original dynamics. For certain exponential type expectation, the corresponding control force of the optimal change of measure leads to a zero-variance estimator and is related to the solution of a Hamilton–Jacobi–Bellmann equation. We focus on certain diffusions with both slow and fast variables, and the main result is that we obtain an upper bound of the relative error for the importance sampling estimators with control obtained from the limiting dynamics. We demonstrate our approximation strategy with an illustrative numerical example.</abstract>
    <parentTitle language="eng">Probability Theory and Related Fields</parentTitle>
    <identifier type="doi">10.1007/s00440-017-0755-3</identifier>
    <identifier type="url">http://rdcu.be/oA51</identifier>
    <note>If you are not subscribing to the journal please use the http link below as part of the Springer Nature SharedIt initiative</note>
    <enrichment key="PeerReviewed">yes</enrichment>
    <author>Carsten Hartmann</author>
    <submitter>Regine Kossick</submitter>
    <author>Christof Schütte</author>
    <author>Marcus Weber</author>
    <author>Wei Zhang</author>
    <collection role="institutes" number="num">Numerical Mathematics</collection>
    <collection role="institutes" number="compmol">Computational Molecular Design</collection>
    <collection role="persons" number="schuette">Schütte, Christof</collection>
    <collection role="persons" number="weber">Weber, Marcus</collection>
    <collection role="projects" number="NonequiMSM">NonequiMSM</collection>
    <collection role="projects" number="SFB1114-A5">SFB1114-A5</collection>
  </doc>
  <doc>
    <id>2654</id>
    <completedYear>2013</completedYear>
    <publishedYear>2013</publishedYear>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst>011018</pageFirst>
    <pageLast/>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume>3</volume>
    <type>article</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>--</completedDate>
    <publishedDate>--</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Grand-canonical-like molecular-dynamics simulations by using an adaptive-resolution technique</title>
    <parentTitle language="eng">Phys. Rev. X</parentTitle>
    <identifier type="doi">10.1103/PhysRevX.3.011018</identifier>
    <enrichment key="PeerReviewed">yes</enrichment>
    <author>Han Wang</author>
    <author>Carsten Hartmann</author>
    <author>Christof Schütte</author>
    <author>Luigi Delle Site</author>
    <collection role="institutes" number="num">Numerical Mathematics</collection>
    <collection role="persons" number="schuette">Schütte, Christof</collection>
  </doc>
  <doc>
    <id>2656</id>
    <completedYear>2012</completedYear>
    <publishedYear>2012</publishedYear>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst>P11004</pageFirst>
    <pageLast/>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume>2012</volume>
    <type>article</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>--</completedDate>
    <publishedDate>--</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Efficient rare event simulation by optimal nonequilibrium forcing</title>
    <parentTitle language="eng">J. Stat. Mech. Theor. Exp.</parentTitle>
    <identifier type="url">http://publications.imp.fu-berlin.de/1153/</identifier>
    <identifier type="doi">10.1088/1742-5468/2012/11/P11004</identifier>
    <author>Carsten Hartmann</author>
    <author>Christof Schütte</author>
    <collection role="persons" number="schuette">Schütte, Christof</collection>
  </doc>
  <doc>
    <id>2659</id>
    <completedYear>2012</completedYear>
    <publishedYear>2012</publishedYear>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst>259</pageFirst>
    <pageLast>282</pageLast>
    <pageNumber/>
    <edition/>
    <issue>1</issue>
    <volume>134</volume>
    <type>article</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>--</completedDate>
    <publishedDate>--</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Optimal control of molecular dynamics using Markov state models</title>
    <parentTitle language="eng">Math. Program. (Series B)</parentTitle>
    <identifier type="url">http://publications.imp.fu-berlin.de/1107/</identifier>
    <identifier type="doi">10.1007/s10107-012-0547-6</identifier>
    <author>Christof Schütte</author>
    <author>Stefanie Winkelmann</author>
    <author>Carsten Hartmann</author>
    <collection role="persons" number="schuette">Schütte, Christof</collection>
    <collection role="persons" number="winkelmann">Winkelmann, Stefanie</collection>
  </doc>
  <doc>
    <id>2675</id>
    <completedYear>2011</completedYear>
    <publishedYear>2011</publishedYear>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst>014112</pageFirst>
    <pageLast/>
    <pageNumber/>
    <edition/>
    <issue>1</issue>
    <volume>135</volume>
    <type>article</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>--</completedDate>
    <publishedDate>--</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Dimension reduction by balanced truncation</title>
    <parentTitle language="eng">J. Chem. Phys.</parentTitle>
    <identifier type="url">http://publications.imp.fu-berlin.de/1023/</identifier>
    <author>B. Schäfer-Bung</author>
    <author>Carsten Hartmann</author>
    <author>Burkhard Schmidt</author>
    <author>Christof Schütte</author>
    <collection role="persons" number="schuette">Schütte, Christof</collection>
  </doc>
  <doc>
    <id>2695</id>
    <completedYear>2009</completedYear>
    <publishedYear>2009</publishedYear>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst>297</pageFirst>
    <pageLast>335</pageLast>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume/>
    <type>article</type>
    <publisherName>EMS publishing house</publisherName>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>--</completedDate>
    <publishedDate>--</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Conformation Dynamics</title>
    <parentTitle language="eng">Proceedings of the 6th International Congress on Industrial and Applied Mathematics, I. Jeltsch and G. Wanner (eds.),</parentTitle>
    <identifier type="url">http://publications.imp.fu-berlin.de/110/</identifier>
    <identifier type="doi">10.4171/056-1/15</identifier>
    <author>Christof Schütte</author>
    <author>Frank Noé</author>
    <author>E. Meerbach</author>
    <author>Ph. Metzner</author>
    <author>Carsten Hartmann</author>
    <collection role="persons" number="schuette">Schütte, Christof</collection>
  </doc>
  <doc>
    <id>2697</id>
    <completedYear>2009</completedYear>
    <publishedYear>2009</publishedYear>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst>144101</pageFirst>
    <pageLast/>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume>130</volume>
    <type>article</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>--</completedDate>
    <publishedDate>--</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Fast Simulation of Polymer Chains</title>
    <parentTitle language="eng">J. Chem. Phys.</parentTitle>
    <identifier type="url">http://publications.imp.fu-berlin.de/18/</identifier>
    <identifier type="doi">10.1063/1.3110603</identifier>
    <author>Carsten Hartmann</author>
    <author>Christof Schütte</author>
    <author>G. Kalibaeva</author>
    <author>M. Pierro</author>
    <author>Giovanni Ciccotti</author>
    <collection role="persons" number="schuette">Schütte, Christof</collection>
  </doc>
  <doc>
    <id>2681</id>
    <completedYear>2011</completedYear>
    <publishedYear>2011</publishedYear>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst>1051</pageFirst>
    <pageLast>1072</pageLast>
    <pageNumber/>
    <edition/>
    <issue>4</issue>
    <volume>9</volume>
    <type>article</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>--</completedDate>
    <publishedDate>--</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">A Structure-preserving numerical discretization of reversible diffusions</title>
    <parentTitle language="eng">Commun. Math. Sci.</parentTitle>
    <identifier type="url">http://publications.imp.fu-berlin.de/896/</identifier>
    <author>J. Latorre</author>
    <author>Ph. Metzner</author>
    <author>Carsten Hartmann</author>
    <author>Christof Schütte</author>
    <collection role="persons" number="schuette">Schütte, Christof</collection>
  </doc>
  <doc>
    <id>2685</id>
    <completedYear>2010</completedYear>
    <publishedYear>2010</publishedYear>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst>1348</pageFirst>
    <pageLast>1367</pageLast>
    <pageNumber/>
    <edition/>
    <issue>4</issue>
    <volume>8</volume>
    <type>article</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>--</completedDate>
    <publishedDate>--</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Balanced Truncation of Second Order Systems</title>
    <parentTitle language="eng">Multiscale Model. Simul.</parentTitle>
    <identifier type="url">http://publications.imp.fu-berlin.de/28/</identifier>
    <identifier type="doi">10.1137/080732717</identifier>
    <author>Carsten Hartmann</author>
    <author>V.-M. Vulcanov</author>
    <author>Christof Schütte</author>
    <collection role="persons" number="schuette">Schütte, Christof</collection>
  </doc>
</export-example>
