Multifractals, Mumford curves, and Eternal Inflation

2013/11/21 by Marcolli, Matilde, Tedeschi, Nicolas · 2 citations
#FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.1311.5458

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.

Cited by

• Group actions on p-adic symplectic manifolds
• p-adic angular momentum coupling in symplectic geometry

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