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Auffinger, A: 50 Years of First-Passage Percolation( Vol. 68) P 161 p. 18
Auffinger, Antonio,
Damron, Michael,
Hanson, Jack
著
発行年月 |
2018年01月 |
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出版国 |
アメリカ合衆国 |
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言語 |
英語 |
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媒体 |
冊子 |
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装丁 |
paper |
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ページ数/巻数 |
161 p. |
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ジャンル |
洋書/理工学/数学/確率 |
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ISBN |
9781470441838 |
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商品コード |
1026515480 |
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本の性格 |
テキスト |
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新刊案内掲載月 |
2018年01月 |
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商品URL
| https://kw.maruzen.co.jp/ims/itemDetail.html?itmCd=1026515480 |
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内容
First-passage percolation (FPP) is a fundamental model in probability theory that has a wide range of applications to other scientific areas (growth and infection in biology, optimization in computer science, disordered media in physics), as well as other areas of mathematics, including analysis and geometry. FPP was introduced in the 1960s as a random metric space. Although it is simple to define, and despite years of work by leading researchers, many of its central problems remain unsolved.In this book, the authors describe the main results of FPP, with two purposes in mind. First, they give self-contained proofs of seminal results obtained until the 1990s on limit shapes and geodesics. Second, they discuss recent perspectives and directions including (1) tools from metric geometry, (2) applications of concentration of measure, and (3) related growth and competition models. The authors also provide a collection of old and new open questions. This book is intended as a textbook for a graduate course or as a learning tool for researchers.