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The Lévy Flight Foraging Hypothesis in Bounded Regions

Subordinate Brownian Motions and High-risk/High-gain Strategies

  • Serena Dipierro

    University of Western Australia, Crawley, Australia

  • Giovanni Giacomin

    University of Western Australia, Crawley, Australia

  • Enrico Valdinoci

    University of Western Australia, Crawley, Australia
The Lévy Flight Foraging Hypothesis in Bounded Regions cover
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FrontmatterDownload pp. i–iv
AbstractDownload p. v
ContentsDownload p. vii
PreambleDownload pp. 1–3
1Introduction to the mathematical setting and main resultsDownload pp. 5–19
2Mathematical framework for the efficiency functionalsDownload pp. 21–52
3Proof of the main resultsDownload pp. 53–71
AGreen function for the Dirichlet spectral fractional LaplacianDownload pp. 73–75
BSome explicit formulas for the one-dimensional functionalsDownload pp. 77–80
CAlternative proof of Proposition 1.2Download pp. 81–84
DSome technical resultsDownload pp. 85–87
ReferencesDownload pp. 89–91