Hadjihosseini, AliAliHadjihosseiniPeinke, JoachimJoachimPeinkeHoffmann, NorbertNorbertHoffmann2020-05-222020-05-222014-05-21New Journal of Physics 5 (16): 053037 (2014-01-01)http://hdl.handle.net/11420/6172This work presents an analysis of ocean wave data including rogue waves. A stochastic approach based on the theory of Markov processes is applied. With this analysis we achieve a characterization of the scale-dependent complexity of ocean waves by means of a Fokker-Planck equation, providing stochastic information on multi-scale processes. In particular, we show evidence of Markov properties for increment processes, which means that a three-point closure for the complexity of the wave structures seems to be valid. Furthermore, we estimate the parameters of the Fokker-Planck equation by parameter-free data analysis. The resulting Fokker-Planck equations are verified by numerical reconstruction. This work presents a new approach where the coherent structure of rogue waves seems to be integrated into the fundamental statistics of complex wave states. © 2014 IOP Publishing Ltd and Deutsche Physikalische Gesellschaft.en1367-26302014516 SeitenDeutsche Physikalische Gesellschafthttps://creativecommons.org/licenses/by/3.0/extreme eventsocean wavesstochastic analysis methodsIngenieurwissenschaftenJournal Article10.15480/882.277610.1088/1367-2630/16/5/05303710.15480/882.2776Journal Article