Christian Horenkamp

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The detection of regions in the ocean that are coherent over an extended period of time is a fundamental problem in many oceanic applications. For instance such regions are important for studying the transport of marine species and for the distribution of nutrients. In this study we demonstrate the efficacy of transfer operators in detecting and analysing(More)
1463-5003/$ see front matter 2012 Elsevier Ltd. A http://dx.doi.org/10.1016/j.ocemod.2012.05.001 ⇑ Corresponding author. Tel.: +49 5251 60 4209. E-mail address: horenc@math.upb.de (C. Horenkam 1 Current address: Department of Mathematics, UN Chapel Hill, NC 27599-3250, USA. A novel probabilistic methodology is applied to identify optimally coherent(More)
Michael Dellnitz∗1, Gary Froyland, Christian Horenkamp, and Kathrin Padberg 1 Department of Mathematics, University of Paderborn, 33095 Paderborn, Germany 2 School of Mathematics and Statistics, The University of New South Wales, Sydney NSW 2052, Australia 3 Institute for Transport and Economics, Dresden University of Technology, 01062 Dresden, Germany 4(More)
Coherent sets in dynamical systems are regions in phase space that optimally "carry mass" with them under the system's evolution, so that these regions experience minimal leakage. The dominant tool for determining coherent sets is the transfer operator, which provides a complete description of Lagrangian mass transport. In this work, we combine existing(More)
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