The funnel trap paradox

Please always quote using this URN: urn:nbn:de:0297-zib-14765
  • In this article, an illustrative example is given for the coarse-graining of a Markov process which leads to a shift in the statistical weights of a two-states-system. The example is based on a 2D-funnel trap. The funnel trap is constructed in such a way, that the area inside and outside of the trap is identical. However, observing the flight of the insect as a Markov process, the probability for being “in the trap” is higher. This example can be transferred to several kinds of processes (like receptor-ligandbinding processes in chemistry) and describes the influence of “re-entering events”.

Download full text files

Export metadata

Metadaten
Author:Marcus Weber
Document Type:ZIB-Report
Tag:Conformation Dynamics; Markov process; Robust Perron Cluster Analysis
MSC-Classification:60-XX PROBABILITY THEORY AND STOCHASTIC PROCESSES (For additional applications, see 11Kxx, 62-XX, 90-XX, 91-XX, 92-XX, 93-XX, 94-XX) / 60Jxx Markov processes / 60J25 Continuous-time Markov processes on general state spaces
Date of first Publication:2012/03/02
Series (Serial Number):ZIB-Report (12-12)
ISSN:1438-0064
Licence (German):License LogoCreative Commons - Namensnennung-Keine Bearbeitung