Lévy flight foraging hypothesis in bounded regions: subordinate brownian motions and high-risk/high-gain strategies (Record no. 60570)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 02753 a2200265 4500 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 240831b |||||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9783985470686 |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 519.282 DIP |
| 100 ## - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Dipierro, Serena |
| 245 ## - TITLE STATEMENT | |
| Title | Lévy flight foraging hypothesis in bounded regions: subordinate brownian motions and high-risk/high-gain strategies |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication, distribution, etc | Berlin: |
| Name of publisher, distributor, etc | European Mathematical Society (EMS), |
| Date of publication, distribution, etc | 2024. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 91p.: |
| Other physical details | col. ill.; pbk.: |
| Dimensions | 24cm. |
| 440 ## - SERIES STATEMENT/ADDED ENTRY--TITLE | |
| Title | Memoirs of the European Mathematical Society; Vol. 10 |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE | |
| Bibliography, etc | Includes References. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | The authors investigate the problem of the Lévy flight foraging hypothesis in an ecological niche described by a bounded region of space, with either absorbing or reflecting boundary conditions. To this end, they consider a forager diffusing according to a fractional heat equation in a bounded domain, and they define several efficiency functionals whose optimality is discussed in relation to the fractional exponent s∈(0,1)<br/> of the diffusive equation. Such an equation is taken to be the spectral fractional heat equation (with Dirichlet or Neumann boundary conditions).<br/><br/>The authors analyze the biological scenarios in which a target is close to the forager or far from it. In particular, for all the efficiency functionals considered here, they show that if the target is close enough to the forager, then the most rewarding search strategy will be in a small neighborhood of s=0<br/>. Interestingly, we show that s=0<br/> is a global pessimizer for some of the efficiency functionals. From this, together with the aforementioned optimality results, the authors deduce that the most rewarding strategy can be unsafe or unreliable in practice, given its proximity with the pessimizing exponent; thus, the forager may opt for a less performant, but safer, hunting method.<br/><br/>However, the biological literature has already collected several pieces of evidence of foragers diffusing with very low Lévy exponents, often in relation with a high energetic content of the prey. It is thereby suggestive to relate these patterns, which are induced by distributions with a very fat tail, with a high-risk/high-gain strategy, in which the forager adopts a potentially very profitable, but also potentially completely unrewarding, strategy due to the high value of the possible outcome.<br/><br/>https://bookstore.ams.org/view?ProductCode=EMSMEM/10 |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Monotonicity |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Mathematical Framework |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Foragers |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Foragers and Targets |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Dirichlet Spectral Fractional Laplacian |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | One-Dimensional Funtionals |
| 700 ## - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Giacomin, Giovanni |
| Relator term | Co-author |
| 700 ## - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Valdinoci, Enrico |
| Relator term | Co-author |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Item type | Books |
| Source of classification or shelving scheme | Dewey Decimal Classification |
| Withdrawn status | Lost status | Source of classification or shelving scheme | Damaged status | Not for loan | Collection code | Home library | Current library | Date acquired | Source of acquisition | Cost, normal purchase price | Total Checkouts | Full call number | Barcode | Date last seen | Copy number | Cost, replacement price | Koha item type |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Dewey Decimal Classification | General | IIT Gandhinagar | IIT Gandhinagar | 30/08/2024 | CBS | 6256.73 | 519.282 DIP | 034472 | 30/08/2024 | 1 | 6256.73 | Books |
