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  <doc>
    <id>1476</id>
    <completedYear/>
    <publishedYear/>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst/>
    <pageLast/>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume/>
    <type>reportzib</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>2012-03-02</completedDate>
    <publishedDate>2012-03-02</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">The funnel trap paradox</title>
    <abstract language="eng">In this article, an illustrative example is given for the coarse-graining of a&#13;
Markov process which leads to a shift in the statistical weights of a two-states-system.&#13;
The example is based on a 2D-funnel trap. The funnel trap is constructed in such a&#13;
way, that the area inside and outside of the trap is identical. However, observing the&#13;
flight of the insect as a Markov process, the probability for being “in the trap” is higher.&#13;
This example can be transferred to several kinds of processes (like receptor-ligandbinding&#13;
processes in chemistry) and describes the influence of “re-entering events”.</abstract>
    <identifier type="issn">1438-0064</identifier>
    <identifier type="serial">12-12</identifier>
    <identifier type="urn">urn:nbn:de:0297-zib-14765</identifier>
    <submitter>Marcus Weber</submitter>
    <author>Marcus Weber</author>
    <series>
      <title>ZIB-Report</title>
      <number>12-12</number>
    </series>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>Markov process</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>Robust Perron Cluster Analysis</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>Conformation Dynamics</value>
    </subject>
    <collection role="msc" number="60J25">Continuous-time Markov processes on general state spaces</collection>
    <collection role="institutes" number="num">Numerical Mathematics</collection>
    <collection role="institutes" number="compmol">Computational Molecular Design</collection>
    <collection role="persons" number="weber">Weber, Marcus</collection>
    <collection role="projects" number="Matheon-A19">Matheon-A19</collection>
    <collection role="projects" number="SFB765-C2">SFB765-C2</collection>
    <file>https://opus4.kobv.de/opus4-zib/files/1476/ZR-12-12.pdf</file>
  </doc>
</export-example>
