Fractals in probability and analysis:
This is a mathematically rigorous introduction to fractals which emphasizes examples and fundamental ideas. Building up from basic techniques of geometric measure theory and probability, central topics such as Hausdorff dimension, self-similar sets and Brownian motion are introduced, as are more spe...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cambridge
Cambridge University Press
2017
|
| Series: | Cambridge studies in advanced mathematics
162 |
| Subjects: | |
| Online Access: | BSB01 FHN01 UBR01 Volltext |
| Summary: | This is a mathematically rigorous introduction to fractals which emphasizes examples and fundamental ideas. Building up from basic techniques of geometric measure theory and probability, central topics such as Hausdorff dimension, self-similar sets and Brownian motion are introduced, as are more specialized topics, including Kakeya sets, capacity, percolation on trees and the traveling salesman theorem. The broad range of techniques presented enables key ideas to be highlighted, without the distraction of excessive technicalities. The authors incorporate some novel proofs which are simpler than those available elsewhere. Where possible, chapters are designed to be read independently so the book can be used to teach a variety of courses, with the clear structure offering students an accessible route into the topic |
| Physical Description: | 1 online resource (ix, 402 Seiten) |
| ISBN: | 9781316460238 |
| DOI: | 10.1017/9781316460238 |
Staff View
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| discipline | Mathematik |
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| institution | BVB |
| isbn | 9781316460238 |
| language | English |
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| spelling | Bishop, Christopher J. Verfasser (DE-588)1122745281 aut Fractals in probability and analysis Christopher J. Bishop, Stony Brook University, Stony Brook, NY, Yuval Peres, Microsoft Research, Redmond, WA. Cambridge Cambridge University Press 2017 1 online resource (ix, 402 Seiten) txt rdacontent c rdamedia cr rdacarrier Cambridge studies in advanced mathematics 162 This is a mathematically rigorous introduction to fractals which emphasizes examples and fundamental ideas. Building up from basic techniques of geometric measure theory and probability, central topics such as Hausdorff dimension, self-similar sets and Brownian motion are introduced, as are more specialized topics, including Kakeya sets, capacity, percolation on trees and the traveling salesman theorem. The broad range of techniques presented enables key ideas to be highlighted, without the distraction of excessive technicalities. The authors incorporate some novel proofs which are simpler than those available elsewhere. Where possible, chapters are designed to be read independently so the book can be used to teach a variety of courses, with the clear structure offering students an accessible route into the topic Fractal analysis / Problems, exercises, etc Geometric analysis / Problems, exercises, etc Probability measures / Problems, exercises, etc Wahrscheinlichkeitsmaß (DE-588)4137556-7 gnd rswk-swf Fraktal (DE-588)4123220-3 gnd rswk-swf Fraktal (DE-588)4123220-3 s Wahrscheinlichkeitsmaß (DE-588)4137556-7 s DE-604 Peres, Yuval Verfasser (DE-588)121404420 aut Erscheint auch als Druck-Ausgabe 978-1-107-13411-9 Cambridge studies in advanced mathematics 162 (DE-604)BV044781283 162 https://doi.org/10.1017/9781316460238 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Bishop, Christopher J. Peres, Yuval Fractals in probability and analysis Cambridge studies in advanced mathematics Fractal analysis / Problems, exercises, etc Geometric analysis / Problems, exercises, etc Probability measures / Problems, exercises, etc Wahrscheinlichkeitsmaß (DE-588)4137556-7 gnd Fraktal (DE-588)4123220-3 gnd |
| subject_GND | (DE-588)4137556-7 (DE-588)4123220-3 |
| title | Fractals in probability and analysis |
| title_auth | Fractals in probability and analysis |
| title_exact_search | Fractals in probability and analysis |
| title_full | Fractals in probability and analysis Christopher J. Bishop, Stony Brook University, Stony Brook, NY, Yuval Peres, Microsoft Research, Redmond, WA. |
| title_fullStr | Fractals in probability and analysis Christopher J. Bishop, Stony Brook University, Stony Brook, NY, Yuval Peres, Microsoft Research, Redmond, WA. |
| title_full_unstemmed | Fractals in probability and analysis Christopher J. Bishop, Stony Brook University, Stony Brook, NY, Yuval Peres, Microsoft Research, Redmond, WA. |
| title_short | Fractals in probability and analysis |
| title_sort | fractals in probability and analysis |
| topic | Fractal analysis / Problems, exercises, etc Geometric analysis / Problems, exercises, etc Probability measures / Problems, exercises, etc Wahrscheinlichkeitsmaß (DE-588)4137556-7 gnd Fraktal (DE-588)4123220-3 gnd |
| topic_facet | Fractal analysis / Problems, exercises, etc Geometric analysis / Problems, exercises, etc Probability measures / Problems, exercises, etc Wahrscheinlichkeitsmaß Fraktal |
| url | https://doi.org/10.1017/9781316460238 |
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