| 書目名稱 | Planar Maps, Random Walks and Circle Packing | | 副標題 | école d‘été de Proba | | 編輯 | Asaf Nachmias | | 視頻video | http://file.papertrans.cn/749/748236/748236.mp4 | | 概述 | Entirely self-contained and aimed to fully accompany a single-semester graduate course.Many classical proofs have been simplified and streamlined.Contains numerous useful exercises | | 叢書名稱 | Lecture Notes in Mathematics | | 圖書封面 |  | | 描述 | .This open access book focuses on the interplay between random walks on planar maps and Koebe’s circle packing theorem. Further topics covered include electric networks, the He–Schramm theorem on infinite circle packings, uniform spanning trees of planar maps, local limits of finite planar maps and the almost sure recurrence of simple random walks on these limits.? One of its main goals is to present a self-contained proof that the uniform infinite planar triangulation (UIPT) is almost surely recurrent. Full proofs of all statements are provided...A planar map is a graph that can be drawn in the plane without crossing edges, together with a specification of the cyclic ordering of the edges incident to each vertex.?One widely applicable method of drawing planar graphs is given by Koebe’s circle packing theorem (1936). Various geometric properties of these drawings, such as existence of accumulation points and bounds on the radii, encode important probabilistic information, such as the recurrence/transience of simple random walks and connectivity of the uniform spanning forest. This deep connection is especially fruitful to the study of random planar maps...The book is aimed at resea | | 出版日期 | Book‘‘‘‘‘‘‘‘ 2020 | | 關(guān)鍵詞 | Circle Packing; Electric Networks; Planar Maps; Random Walk; Uniform Spanning Trees; Open Access | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-030-27968-4 | | isbn_softcover | 978-3-030-27967-7 | | isbn_ebook | 978-3-030-27968-4Series ISSN 0075-8434 Series E-ISSN 1617-9692 | | issn_series | 0075-8434 | | copyright | The Editor(s) (if applicable) and The Author(s) 2020 |
The information of publication is updating
書目名稱Planar Maps, Random Walks and Circle Packing影響因子(影響力)
書目名稱Planar Maps, Random Walks and Circle Packing影響因子(影響力)學科排名
書目名稱Planar Maps, Random Walks and Circle Packing網(wǎng)絡公開度
書目名稱Planar Maps, Random Walks and Circle Packing網(wǎng)絡公開度學科排名
書目名稱Planar Maps, Random Walks and Circle Packing被引頻次
書目名稱Planar Maps, Random Walks and Circle Packing被引頻次學科排名
書目名稱Planar Maps, Random Walks and Circle Packing年度引用
書目名稱Planar Maps, Random Walks and Circle Packing年度引用學科排名
書目名稱Planar Maps, Random Walks and Circle Packing讀者反饋
書目名稱Planar Maps, Random Walks and Circle Packing讀者反饋學科排名
|
|
|
|Archiver|手機版|小黑屋|
派博傳思國際
( 京公網(wǎng)安備110108008328)
GMT+8, 2025-10-28 14:12
發(fā)表于 2025-3-21 17:57:10
