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    <language>eng</language>
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    <issue>5</issue>
    <volume>20</volume>
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    <completedDate>2018-05-07</completedDate>
    <publishedDate>--</publishedDate>
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    <title language="eng">Molecular Dynamics vs. Stochastic Processes: Are We Heading Anywhere?</title>
    <parentTitle language="eng">Special Issue: Understanding Molecular Dynamics via Stochastic Processes, Entropy</parentTitle>
    <identifier type="doi">10.3390/e20050348</identifier>
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    <enrichment key="FulltextUrl">http://www.mdpi.com/journal/entropy/special_issues/stochastic_processes</enrichment>
    <enrichment key="AcceptedDate">02.05.2018</enrichment>
    <author>Giovanni Ciccotti</author>
    <submitter>Erlinda Koernig</submitter>
    <author>Mauro Ferrario</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="no-project">no-project</collection>
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  <doc>
    <id>7790</id>
    <completedYear/>
    <publishedYear>2020</publishedYear>
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    <language>eng</language>
    <pageFirst>132</pageFirst>
    <pageLast>150</pageLast>
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    <volume>304</volume>
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    <publisherName>Springer International</publisherName>
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    <title language="eng">A weak characterization of slow variables in stochastic dynamical systems</title>
    <parentTitle language="eng">Advances in Dynamics, Optimization and Computation.&#13;
Series: Studies in Systems, Decision and Control. A volume dedicated to Michael Dellnitz on the occasion of his 60th birthday</parentTitle>
    <identifier type="isbn">978-3-030-51264-4</identifier>
    <identifier type="doi">10.1007/978-3-030-51264-4_6</identifier>
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    <author>Andreas Bittracher</author>
    <submitter>Erlinda Körnig</submitter>
    <editor>Oliver Junge</editor>
    <author>Christof Schütte</author>
    <editor>O. Schütze</editor>
    <editor>Gary Froyland</editor>
    <editor>S. Ober-Blobaum</editor>
    <editor>E. Padberg-Gehle</editor>
    <collection role="institutes" number="num">Numerical Mathematics</collection>
    <collection role="persons" number="schuette">Schütte, Christof</collection>
    <collection role="projects" number="MathPlusAA1-1">MathPlusAA1-1</collection>
    <collection role="institutes" number="MSoCP">Modeling and Simulation of Complex Processes</collection>
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    <id>7791</id>
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    <publishedYear>2020</publishedYear>
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    <language>eng</language>
    <pageFirst>109</pageFirst>
    <pageLast>131</pageLast>
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    <issue/>
    <volume>304</volume>
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    <publisherName>Springer International</publisherName>
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    <completedDate>--</completedDate>
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    <title language="eng">Singular Value Decomposition of Operators on Reproducing Kernel Hilbert Spaces</title>
    <parentTitle language="eng">Advances om Dynamics, Optimization and Computation.&#13;
Series: Studies in Systems, Decision and Control. A volume dedicated to Michael Dellnitz on his 60th birthday</parentTitle>
    <identifier type="isbn">978-3-030-51264-4</identifier>
    <identifier type="doi">10.1007/978-3-030-51264-4_5</identifier>
    <enrichment key="PeerReviewed">yes</enrichment>
    <author>Mattes Mollenhauer</author>
    <submitter>Erlinda Körnig</submitter>
    <editor>Oliver Junge</editor>
    <author>Ingmar Schuster</author>
    <editor>O. Schütze</editor>
    <author>Stefan Klus</author>
    <editor>Gary Froyland</editor>
    <author>Christof Schütte</author>
    <editor>S. Ober-Blobaum</editor>
    <editor>K. Padberg-Gehle</editor>
    <collection role="institutes" number="num">Numerical Mathematics</collection>
    <collection role="persons" number="schuette">Schütte, Christof</collection>
    <collection role="projects" number="MODAL-MedLab">MODAL-MedLab</collection>
    <collection role="projects" number="MODAL-Gesamt">MODAL-Gesamt</collection>
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    <collection role="institutes" number="MSoCP">Modeling and Simulation of Complex Processes</collection>
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  <doc>
    <id>3816</id>
    <completedYear>2006</completedYear>
    <publishedYear>2006</publishedYear>
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    <language>eng</language>
    <pageFirst>98</pageFirst>
    <pageLast>115</pageLast>
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    <issue/>
    <volume>4216</volume>
    <type>incollection</type>
    <publisherName>Springer</publisherName>
    <publisherPlace/>
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    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>--</completedDate>
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    <title language="eng">Set-oriented dimension reduction: Localizing principal component analysis via hidden Markov models</title>
    <parentTitle language="eng">Computational Life Sciences II</parentTitle>
    <enrichment key="Series">Lecture Notes in Bioinformatics</enrichment>
    <author>Illia Horenko</author>
    <author>Johannes Schmidt-Ehrenberg</author>
    <author>Christof Schütte</author>
    <collection role="institutes" number="vis">Visual Data Analysis</collection>
    <collection role="institutes" number="vissys">Image Analysis in Biology and Materials Science</collection>
    <collection role="persons" number="schuette">Schütte, Christof</collection>
    <collection role="projects" number="MOLVIS">MOLVIS</collection>
    <collection role="institutes" number="VDcC">Visual and Data-centric Computing</collection>
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  <doc>
    <id>5234</id>
    <completedYear/>
    <publishedYear>2014</publishedYear>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst>23</pageFirst>
    <pageLast>44</pageLast>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume>797</volume>
    <type>incollection</type>
    <publisherName>Springer</publisherName>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>--</completedDate>
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    <title language="eng">Markov Model Theory</title>
    <abstract language="eng">This section reviews the relation between the continuous dynamics of a molecular system in thermal equilibrium and the kinetics given by a Markov State Model (MSM). We will introduce the dynamical propagator, an error-less, alternative description of the continuous dynamics, and show how MSMs result from its discretization. This allows for an precise understanding of the approximation quality of MSMs in comparison to the continuous dynamics. The results on the approximation quality are key for the design of good MSMs. While this section is important for understanding the theory of discretization and related systematic errors, practitioners wishing only to learn how to construct MSMs may skip directly to the discussion of Markov model estimation.</abstract>
    <parentTitle language="eng">An Introduction to Markov State Models and Their Application to Long Timescale Molecular Simulation</parentTitle>
    <identifier type="doi">10.1007/978-94-007-7606-7</identifier>
    <enrichment key="Series">Advances in Experimental Medicine and Biology</enrichment>
    <enrichment key="PeerReviewed">yes</enrichment>
    <author>Marco Sarich</author>
    <editor>Gregory R. Bowman</editor>
    <submitter>Erlinda Körnig</submitter>
    <author>Christof Schütte</author>
    <editor>Vijay S. Pande</editor>
    <editor>Frank Noé</editor>
    <collection role="institutes" number="num">Numerical Mathematics</collection>
    <collection role="persons" number="schuette">Schütte, Christof</collection>
    <collection role="projects" number="BMS-Nielsen">BMS-Nielsen</collection>
    <collection role="projects" number="Matheon-A19">Matheon-A19</collection>
    <collection role="projects" number="MIP_FORMATION">MIP_FORMATION</collection>
    <collection role="projects" number="NAMPAR">NAMPAR</collection>
    <collection role="projects" number="NonequiMSM">NonequiMSM</collection>
    <collection role="projects" number="SFB1114-A5">SFB1114-A5</collection>
  </doc>
  <doc>
    <id>5014</id>
    <completedYear/>
    <publishedYear>2014</publishedYear>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst>29</pageFirst>
    <pageLast>44</pageLast>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume>1</volume>
    <type>incollection</type>
    <publisherName>European Mathematical Society</publisherName>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>--</completedDate>
    <publishedDate>--</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Advanced mathematical modeling in systems biology</title>
    <parentTitle language="eng">MATHEON-Mathematics for Key Technologies</parentTitle>
    <enrichment key="Series">Series in Industrial and Applied Mathematics</enrichment>
    <enrichment key="PeerReviewed">no</enrichment>
    <author>Alexander Bockmayr</author>
    <editor>Peter Deuflhard</editor>
    <submitter>Erlinda Körnig</submitter>
    <author>Heike Siebert</author>
    <editor>Martin Grötschel</editor>
    <author>Susanna Röblitz</author>
    <editor>Dietmar Hömberg</editor>
    <author>Christof Schütte</author>
    <editor>Jürg Kramer</editor>
    <author>Peter Deuflhard</author>
    <editor>Volker Mehrmann</editor>
    <editor>Konrad Polthier</editor>
    <editor>Frank Schmidt</editor>
    <editor>Christof Schütte</editor>
    <editor>Martin Skutela</editor>
    <editor>Jürgen Sprekels</editor>
    <collection role="institutes" number="num">Numerical Mathematics</collection>
    <collection role="institutes" number="compsys">Computational Systems Biology</collection>
    <collection role="persons" number="susanna.roeblitz">Röblitz, Susanna</collection>
    <collection role="persons" number="schuette">Schütte, Christof</collection>
    <collection role="projects" number="ECMath-CH6">ECMath-CH6</collection>
    <collection role="projects" number="SFB1114-C3">SFB1114-C3</collection>
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  <doc>
    <id>4985</id>
    <completedYear/>
    <publishedYear>2014</publishedYear>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst>49</pageFirst>
    <pageLast>65</pageLast>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume>1</volume>
    <type>incollection</type>
    <publisherName>European Mathematical Society</publisherName>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>--</completedDate>
    <publishedDate>--</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Design of functional molecules</title>
    <parentTitle language="eng">MATHEON-Mathematics for Key Technologies</parentTitle>
    <enrichment key="Series">Series in Industrial and Applied Mathematics</enrichment>
    <enrichment key="PeerReviewed">no</enrichment>
    <author>Christof Schütte</author>
    <editor>Peter Deuflhard</editor>
    <submitter>Erlinda Körnig</submitter>
    <author>Peter Deuflhard</author>
    <editor>Martin Grötschel</editor>
    <author>Frank Noé</author>
    <editor>Dietmar Hömberg</editor>
    <author>Marcus Weber</author>
    <editor>Ulrich Horst</editor>
    <editor>Jürg Kramer</editor>
    <editor>Volker Mehrmann</editor>
    <editor>Konrad Polthier</editor>
    <editor>Frank Schmidt</editor>
    <editor>Christof Schütte</editor>
    <editor>Martin Skutella</editor>
    <editor>Jürgen Sprekels</editor>
    <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="BMS-Nielsen">BMS-Nielsen</collection>
    <collection role="projects" number="Matheon-A19">Matheon-A19</collection>
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  <doc>
    <id>4986</id>
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    <publishedYear>2014</publishedYear>
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    <language>eng</language>
    <pageFirst>1</pageFirst>
    <pageLast>5</pageLast>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume>1</volume>
    <type>incollection</type>
    <publisherName>European Mathematical Society</publisherName>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>--</completedDate>
    <publishedDate>--</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Life Sciences</title>
    <parentTitle language="eng">MATHEON-Mathematics for Key Technologies</parentTitle>
    <enrichment key="Series">Series in Industrial and Applied Mathematics</enrichment>
    <enrichment key="PeerReviewed">no</enrichment>
    <author>Peter Deuflhard</author>
    <editor>Peter Deuflhard</editor>
    <submitter>Erlinda Körnig</submitter>
    <author>Christof Schütte</author>
    <editor>Martin Grötschel</editor>
    <editor>Dietmar Hömberg</editor>
    <editor>Ulrich Horst</editor>
    <editor>Jürg Kramer</editor>
    <editor>Volker Mehrmann</editor>
    <editor>Konrad Polthier</editor>
    <editor>Frank Schmidt</editor>
    <editor>Christof Schütte</editor>
    <editor>Martin Skutella</editor>
    <editor>Jürgen Sprekels</editor>
    <collection role="institutes" number="num">Numerical Mathematics</collection>
    <collection role="persons" number="schuette">Schütte, Christof</collection>
    <collection role="projects" number="no-project">no-project</collection>
  </doc>
  <doc>
    <id>4989</id>
    <completedYear/>
    <publishedYear>2014</publishedYear>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst>66</pageFirst>
    <pageLast>67</pageLast>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume>1</volume>
    <type>incollection</type>
    <publisherName>European Mathematical Society</publisherName>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>--</completedDate>
    <publishedDate>--</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Showcase 3: Information-based medicine</title>
    <parentTitle language="eng">MATHEON-Mathematics for Key Technologies</parentTitle>
    <enrichment key="Series">Series in Industrial and Applied Mathematics</enrichment>
    <enrichment key="PeerReviewed">no</enrichment>
    <author>Christof Schütte</author>
    <editor>Peter Deuflhard</editor>
    <submitter>Erlinda Körnig</submitter>
    <author>Tim Conrad</author>
    <editor>Martin Grötschel</editor>
    <editor>Dietmar Hömberg</editor>
    <editor>Ulrich Horst</editor>
    <editor>Jürg Kramer</editor>
    <editor>Volker Mehrmann</editor>
    <editor>Konrad Polthier</editor>
    <editor>Frank Schmidt</editor>
    <editor>Martin Skutella</editor>
    <editor>Jürgen Sprekels</editor>
    <collection role="institutes" number="num">Numerical Mathematics</collection>
    <collection role="institutes" number="vis">Visual Data Analysis</collection>
    <collection role="persons" number="schuette">Schütte, Christof</collection>
    <collection role="persons" number="conrad">Conrad, Tim</collection>
    <collection role="institutes" number="bioinf">Bioinformatics in Medicine</collection>
    <collection role="projects" number="MODAL-MedLab">MODAL-MedLab</collection>
    <collection role="projects" number="ECMath-CH7">ECMath-CH7</collection>
    <collection role="projects" number="MODAL-Gesamt">MODAL-Gesamt</collection>
    <collection role="institutes" number="VDcC">Visual and Data-centric Computing</collection>
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