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タイトル: The Random Conductance Model with Heavy Tails on Nested Fractal Graphs
著者: Croydon, David A.
キーワード: Nested fractal
Random conductance model
Scaling limit
FIN diffusion
28A80
60K37
発行日: 2021
出版者: Birkhäuser
Springer Nature
誌名: Fractal Geometry and Stochastics VI
開始ページ: 239
終了ページ: 254
抄録: Recently, Kigami’s resistance form framework has been applied to provide a general approach for deriving the scaling limits of random walks on graphs with a fractal scaling limit (Croydon, Ann Inst Henri Poincaré Probab Stat 54(4):1939–1968, 2018; Croydon et al., Electron J Probab 22, paper no.82, 41, 2017). As an illustrative example, this article describes an application to the random conductance model with heavy tails on nested fractal graphs.
記述: The conference ‘Fractal Geometry and Stochastics VI’ with 122 participants from 20 different countries took place in Bad Herrenalb, Baden-Württemberg, Germany, from September 30 to October 6, 2018.
Part of the Progress in Probability book series (PRPR, volume 76)
著作権等: This version of the article has been accepted for publication, after peer review (when applicable) and is subject to Springer Nature’s AM terms of use, but is not the Version of Record and does not reflect post-acceptance improvements, or any corrections. The Version of Record is available online at: http://dx.doi.org/10.1007/978-3-030-59649-1_10
The full-text file will be made open to the public on 24 March 2022 in accordance with publisher's 'Terms and Conditions for Self-Archiving'.
This is not the published version. Please cite only the published version. この論文は出版社版でありません。引用の際には出版社版をご確認ご利用ください。
URI: http://hdl.handle.net/2433/267920
DOI(出版社版): 10.1007/978-3-030-59649-1_10
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