Differential Equations on Fractals : : A Tutorial / / Robert S. Strichartz.
Differential Equations on Fractals opens the door to understanding the recently developed area of analysis on fractals, focusing on the construction of a Laplacian on the Sierpinski gasket and related fractals. Written in a lively and informal style, with lots of intriguing exercises on all levels o...
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Strichartz, Robert S., author. aut http://id.loc.gov/vocabulary/relators/aut Differential Equations on Fractals : A Tutorial / Robert S. Strichartz. Princeton, NJ : Princeton University Press, [2018] ©2006 1 online resource text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Frontmatter -- Contents -- Introduction -- Chapter 1. Measure, Energy, and Metric -- Chapter 2. Laplacian -- Chapter 3. Spectrum of the Laplacian -- Chapter 4. Postcritically Finite Fractals -- Chapter 5. Further Topics -- References -- Index restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star Differential Equations on Fractals opens the door to understanding the recently developed area of analysis on fractals, focusing on the construction of a Laplacian on the Sierpinski gasket and related fractals. Written in a lively and informal style, with lots of intriguing exercises on all levels of difficulty, the book is accessible to advanced undergraduates, graduate students, and mathematicians who seek an understanding of analysis on fractals. Robert Strichartz takes the reader to the frontiers of research, starting with carefully motivated examples and constructions. One of the great accomplishments of geometric analysis in the nineteenth and twentieth centuries was the development of the theory of Laplacians on smooth manifolds. But what happens when the underlying space is rough? Fractals provide models of rough spaces that nevertheless have a strong structure, specifically self-similarity. Exploiting this structure, researchers in probability theory in the 1980s were able to prove the existence of Brownian motion, and therefore of a Laplacian, on certain fractals. An explicit analytic construction was provided in 1989 by Jun Kigami. Differential Equations on Fractals explains Kigami's construction, shows why it is natural and important, and unfolds many of the interesting consequences that have recently been discovered. This book can be used as a self-study guide for students interested in fractal analysis, or as a textbook for a special topics course. Issued also in print. Mode of access: Internet via World Wide Web. In English. Description based on online resource; title from PDF title page (publisher's Web site, viewed 30. Aug 2021) Differential equations. Fractals. MATHEMATICS / Geometry / Differential. bisacsh Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Backlist 2000-2013 9783110442502 print 9780691125428 https://doi.org/10.1515/9780691186832?locatt=mode:legacy https://www.degruyter.com/isbn/9780691186832 Cover https://www.degruyter.com/cover/covers/9780691186832.jpg |
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English |
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Strichartz, Robert S., Strichartz, Robert S., |
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Strichartz, Robert S., Strichartz, Robert S., Differential Equations on Fractals : A Tutorial / Frontmatter -- Contents -- Introduction -- Chapter 1. Measure, Energy, and Metric -- Chapter 2. Laplacian -- Chapter 3. Spectrum of the Laplacian -- Chapter 4. Postcritically Finite Fractals -- Chapter 5. Further Topics -- References -- Index |
author_facet |
Strichartz, Robert S., Strichartz, Robert S., |
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r s s rs rss r s s rs rss |
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VerfasserIn VerfasserIn |
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Strichartz, Robert S., |
title |
Differential Equations on Fractals : A Tutorial / |
title_sub |
A Tutorial / |
title_full |
Differential Equations on Fractals : A Tutorial / Robert S. Strichartz. |
title_fullStr |
Differential Equations on Fractals : A Tutorial / Robert S. Strichartz. |
title_full_unstemmed |
Differential Equations on Fractals : A Tutorial / Robert S. Strichartz. |
title_auth |
Differential Equations on Fractals : A Tutorial / |
title_alt |
Frontmatter -- Contents -- Introduction -- Chapter 1. Measure, Energy, and Metric -- Chapter 2. Laplacian -- Chapter 3. Spectrum of the Laplacian -- Chapter 4. Postcritically Finite Fractals -- Chapter 5. Further Topics -- References -- Index |
title_new |
Differential Equations on Fractals : |
title_sort |
differential equations on fractals : a tutorial / |
publisher |
Princeton University Press, |
publishDate |
2018 |
physical |
1 online resource Issued also in print. |
contents |
Frontmatter -- Contents -- Introduction -- Chapter 1. Measure, Energy, and Metric -- Chapter 2. Laplacian -- Chapter 3. Spectrum of the Laplacian -- Chapter 4. Postcritically Finite Fractals -- Chapter 5. Further Topics -- References -- Index |
isbn |
9780691186832 9783110442502 9780691125428 |
url |
https://doi.org/10.1515/9780691186832?locatt=mode:legacy https://www.degruyter.com/isbn/9780691186832 https://www.degruyter.com/cover/covers/9780691186832.jpg |
illustrated |
Not Illustrated |
dewey-hundreds |
500 - Science |
dewey-tens |
510 - Mathematics |
dewey-ones |
514 - Topology |
dewey-full |
514/.742 |
dewey-sort |
3514 3742 |
dewey-raw |
514/.742 |
dewey-search |
514/.742 |
doi_str_mv |
10.1515/9780691186832?locatt=mode:legacy |
oclc_num |
1076473201 |
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AT strichartzroberts differentialequationsonfractalsatutorial |
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(DE-B1597)501945 (OCoLC)1076473201 |
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hierarchy_parent_title |
Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Backlist 2000-2013 |
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Differential Equations on Fractals : A Tutorial / |
container_title |
Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Backlist 2000-2013 |
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