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”.
Author: | Marcus Weber |
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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 |
ZIB-Reportnumber: | 12-12 |
Licence (German): | ![]() |