Multifractals, Mumford curves and eternal inflation

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• 作者：M. Marcolli (1)
  N. Tedeschi (1)
  
• 关键词：cosmology ; eternal inflation ; stochastic processes ; Bruhat ; Tits tree ; p ; adic Mumford curves
• 刊名：P-Adic Numbers, Ultrametric Analysis, and Applications
• 出版年：2014
• 出版时间：April 2014
• 年：2014
• 卷：6
• 期：2
• 页码：135-154
• 全文大小：
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• 作者单位：M. Marcolli (1)
  N. Tedeschi (1)
  
  1. Mathematics Department, Caltech, 1200 E. California Blvd., Pasadena, CA, 91125, USA
  
• ISSN：2070-0474

文摘

We relate the Eternal Symmetree model of Harlow, Shenker, Stanford, and Susskind to constructions of stochastic processes related to quantum statistical mechanical systems on Cuntz-Krieger algebras. We extend the eternal inflation model from the Bruhat-Tits tree to quotients by p-adic Schottky groups, again using quantum statistical mechanics on graph algebras.