Scale-free animal movement patterns: Lévy walks outperform fractional Brownian motions and fractional Lévy motions in random search scenarios
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Publication:3643234
DOI10.1088/1751-8113/42/43/434006zbMath1202.92091OpenAlexW2076232251MaRDI QIDQ3643234
Publication date: 10 November 2009
Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1088/1751-8113/42/43/434006
Processes with independent increments; Lévy processes (60G51) Fractional processes, including fractional Brownian motion (60G22) Probabilistic models, generic numerical methods in probability and statistics (65C20) Animal behavior (92D50)
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Optimal random search, fractional dynamics and fractional calculus ⋮ Multi-scale properties of random walk models of animal movement: lessons from statistical inference ⋮ Time Dependent Diffusion as a Mean Field Counterpart of Lévy Type Random Walk ⋮ Truncated Lévy flights and generalized Cauchy processes ⋮ Space-fractional Fokker–Planck equation and optimization of random search processes in the presence of an external bias ⋮ Spectral characteristics of steady-state Lévy flights in confinement potential profiles ⋮ Anomalous spreading and misidentification of spatial random walk models
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