An unbounded experience in random walks with applications:
"This volume comprises the author's account of the development of novel results in random walk theory and its applications during the fractal and chaos revolutions. The early history of probability is presented in an engaging manner, and peppered with pitfalls and paradoxes. Readers will f...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New Jersey ; London ; Singapore ; Beijing ; Shanghai ; Hong Kong ; Taipei ; Chennai ; Tokyo
World Scientific
[2021]
|
| Schlagworte: | |
| Online-Zugang: | TUM01 Volltext |
| Zusammenfassung: | "This volume comprises the author's account of the development of novel results in random walk theory and its applications during the fractal and chaos revolutions. The early history of probability is presented in an engaging manner, and peppered with pitfalls and paradoxes. Readers will find the introduction of Paul L evy's work via Mandelbrot's L evy flights which are featured uniquely as Weierstrass and Riemann random walks. Generalizations to coupled memories, internal states and fractal time are introduced at the level for graduate students. Mathematical developments are explained including Green's functions, inverse Mellin transforms, Jacobians, and matrix methods. Applications are made to anomalous diffusion and conductivity in amorphous semiconductors and supercooled liquids. The glass transition is discussed especially for pressure effects. All along the way, personal stories are recounted and special appreciations are made to Elliott Montroll and Harvey Scher for their ever-expanding influence on the field of non-equilibrium anomalous processes that now are found in topics including disordered materials, water table processes, animal foraging, blinking quantum dots, rotating flows, optical lattices, dynamical strange attractors and strange kinetics."-- |
| Beschreibung: | Includes index |
| Beschreibung: | 1 Online-Ressource (xx, 193 Seiten) Illustrationen |
| ISBN: | 9789811232817 9811232814 9789811232824 |
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Datensatz im Suchindex
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| dewey-full | 519.2/82 |
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| dewey-ones | 519 - Probabilities and applied mathematics |
| dewey-raw | 519.2/82 |
| dewey-search | 519.2/82 |
| dewey-sort | 3519.2 282 |
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| discipline | Mathematik |
| discipline_str_mv | Mathematik |
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| id | DE-604.BV047423402 |
| illustrated | Not Illustrated |
| index_date | 2024-07-03T17:57:22Z |
| indexdate | 2024-07-10T09:11:46Z |
| institution | BVB |
| isbn | 9789811232817 9811232814 9789811232824 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-032825938 |
| oclc_num | 1264257359 |
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| owner_facet | DE-91G DE-BY-TUM |
| physical | 1 Online-Ressource (xx, 193 Seiten) Illustrationen |
| psigel | ZDB-124-WOP ZDB-30-PQE TUM_Einzelkauf_2023 |
| publishDate | 2021 |
| publishDateSearch | 2021 |
| publishDateSort | 2021 |
| publisher | World Scientific |
| record_format | marc |
| spelling | Shlesinger, Michael F. Verfasser aut An unbounded experience in random walks with applications Michael F Shlesinger New Jersey ; London ; Singapore ; Beijing ; Shanghai ; Hong Kong ; Taipei ; Chennai ; Tokyo World Scientific [2021] 1 Online-Ressource (xx, 193 Seiten) Illustrationen txt rdacontent c rdamedia cr rdacarrier Includes index "This volume comprises the author's account of the development of novel results in random walk theory and its applications during the fractal and chaos revolutions. The early history of probability is presented in an engaging manner, and peppered with pitfalls and paradoxes. Readers will find the introduction of Paul L evy's work via Mandelbrot's L evy flights which are featured uniquely as Weierstrass and Riemann random walks. Generalizations to coupled memories, internal states and fractal time are introduced at the level for graduate students. Mathematical developments are explained including Green's functions, inverse Mellin transforms, Jacobians, and matrix methods. Applications are made to anomalous diffusion and conductivity in amorphous semiconductors and supercooled liquids. The glass transition is discussed especially for pressure effects. All along the way, personal stories are recounted and special appreciations are made to Elliott Montroll and Harvey Scher for their ever-expanding influence on the field of non-equilibrium anomalous processes that now are found in topics including disordered materials, water table processes, animal foraging, blinking quantum dots, rotating flows, optical lattices, dynamical strange attractors and strange kinetics."-- Random walks (Mathematics) Electronic books Erscheint auch als Druck-Ausgabe, Hardcover 978-981-123-280-0 Erscheint auch als Druck-Ausgabe 9811232806 https://www.worldscientific.com/worldscibooks/10.1142/12176#t=toc Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Shlesinger, Michael F. An unbounded experience in random walks with applications Random walks (Mathematics) |
| title | An unbounded experience in random walks with applications |
| title_auth | An unbounded experience in random walks with applications |
| title_exact_search | An unbounded experience in random walks with applications |
| title_exact_search_txtP | An unbounded experience in random walks with applications |
| title_full | An unbounded experience in random walks with applications Michael F Shlesinger |
| title_fullStr | An unbounded experience in random walks with applications Michael F Shlesinger |
| title_full_unstemmed | An unbounded experience in random walks with applications Michael F Shlesinger |
| title_short | An unbounded experience in random walks with applications |
| title_sort | an unbounded experience in random walks with applications |
| topic | Random walks (Mathematics) |
| topic_facet | Random walks (Mathematics) |
| url | https://www.worldscientific.com/worldscibooks/10.1142/12176#t=toc |
| work_keys_str_mv | AT shlesingermichaelf anunboundedexperienceinrandomwalkswithapplications |