Fractal Geometry and Analysis:
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Dordrecht
Springer Netherlands
1991
|
| Schriftenreihe: | NATO ASI Series, Series C: Mathematical and Physical Sciences
346 |
| Schlagwörter: | |
| Links: | https://doi.org/10.1007/978-94-015-7931-5 |
| Beschreibung: | This ASI- which was also the 28th session of the Seminaire de mathematiques superieures of the Universite de Montreal - was devoted to Fractal Geometry and Analysis. The present volume is the fruit of the work of this Advanced Study Institute. We were fortunate to have with us Prof. Benoit Mandelbrot - the creator of numerous concepts in Fractal Geometry - who gave a series of lectures on multifractals, iteration of analytic functions, and various kinds of fractal stochastic processes. Different foundational contributions for Fractal Geometry like measure theory, dy namical systems, iteration theory, branching processes are recognized. The geometry of fractal sets and the analytical tools used to investigate them provide a unifying theme of this book. The main topics that are covered are then as follows. Dimension Theory. Many definitions of fractional dimension have been proposed, all of which coincide on "regular" objects, but often take different values for a given fractal set. There is ample discussion on piecewise estimates yielding actual values for the most common dimensions (Hausdorff, box-counting and packing dimensions). The dimension theory is mainly discussed by Mendes-France, Bedford, Falconer, Tricot and Rata. Construction of fractal sets. Scale in variance is a fundamental property of fractal sets |
| Umfang: | 1 Online-Ressource (XV, 472 p) |
| ISBN: | 9789401579315 9789401579339 |
| ISSN: | 1389-2185 |
| DOI: | 10.1007/978-94-015-7931-5 |
Internformat
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| illustrated | Not Illustrated |
| indexdate | 2024-12-20T17:10:35Z |
| institution | BVB |
| isbn | 9789401579315 9789401579339 |
| issn | 1389-2185 |
| language | English |
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| physical | 1 Online-Ressource (XV, 472 p) |
| psigel | ZDB-2-PHA ZDB-2-BAE ZDB-2-PHA_Archive |
| publishDate | 1991 |
| publishDateSearch | 1991 |
| publishDateSort | 1991 |
| publisher | Springer Netherlands |
| record_format | marc |
| series2 | NATO ASI Series, Series C: Mathematical and Physical Sciences |
| spellingShingle | Bélair, Jacques Fractal Geometry and Analysis Mathematics Functions of complex variables Distribution (Probability theory) Measure and Integration Mathematical Modeling and Industrial Mathematics Functions of a Complex Variable Probability Theory and Stochastic Processes Mathematik Fraktal (DE-588)4123220-3 gnd |
| subject_GND | (DE-588)4123220-3 (DE-588)1071861417 |
| title | Fractal Geometry and Analysis |
| title_alt | Proceedings of the NATO Advanced Study Institute and Séminaire de mathématiques supérieures, Montreal, Canada, July 3-21, 1989 |
| title_auth | Fractal Geometry and Analysis |
| title_exact_search | Fractal Geometry and Analysis |
| title_full | Fractal Geometry and Analysis edited by Jacques Bélair, Serge Dubuc |
| title_fullStr | Fractal Geometry and Analysis edited by Jacques Bélair, Serge Dubuc |
| title_full_unstemmed | Fractal Geometry and Analysis edited by Jacques Bélair, Serge Dubuc |
| title_short | Fractal Geometry and Analysis |
| title_sort | fractal geometry and analysis |
| topic | Mathematics Functions of complex variables Distribution (Probability theory) Measure and Integration Mathematical Modeling and Industrial Mathematics Functions of a Complex Variable Probability Theory and Stochastic Processes Mathematik Fraktal (DE-588)4123220-3 gnd |
| topic_facet | Mathematics Functions of complex variables Distribution (Probability theory) Measure and Integration Mathematical Modeling and Industrial Mathematics Functions of a Complex Variable Probability Theory and Stochastic Processes Mathematik Fraktal Konferenzschrift 1989 Montréal |
| url | https://doi.org/10.1007/978-94-015-7931-5 |
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