The Lévy Flight Foraging Hypothesis in Bounded Regions
Subordinate Brownian Motions and High-risk/High-gain Strategies
Serena Dipierro
University of Western Australia, Crawley, AustraliaGiovanni Giacomin
University of Western Australia, Crawley, AustraliaEnrico Valdinoci
University of Western Australia, Crawley, Australia
This book is published open access.
| FrontmatterDownload pp. i–iv | |
| AbstractDownload p. v | |
| ContentsDownload p. vii | |
| PreambleDownload pp. 1–3 | |
| 1 | Introduction to the mathematical setting and main resultsDownload pp. 5–19 |
| 2 | Mathematical framework for the efficiency functionalsDownload pp. 21–52 |
| 3 | Proof of the main resultsDownload pp. 53–71 |
| A | Green function for the Dirichlet spectral fractional LaplacianDownload pp. 73–75 |
| B | Some explicit formulas for the one-dimensional functionalsDownload pp. 77–80 |
| C | Alternative proof of Proposition 1.2Download pp. 81–84 |
| D | Some technical resultsDownload pp. 85–87 |
| ReferencesDownload pp. 89–91 |