Multifractals, Mumford curves, and Eternal Inflation
High Energy Physics - Theory
2013-11-22 v1 Mathematical Physics
math.MP
Abstract
We relate the Eternal Symmetree model of Harlow, Shenker, Stanford, and Susskind to constructions of stochastic processes arising from 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.
Keywords
Cite
@article{arxiv.1311.5458,
title = {Multifractals, Mumford curves, and Eternal Inflation},
author = {Matilde Marcolli and Nicolas Tedeschi},
journal= {arXiv preprint arXiv:1311.5458},
year = {2013}
}
Comments
19 pages, LaTeX, 4 pdf figures