Published April 2014 | Submitted
Journal Article Open

Multifractals, Mumford Curves and Eternal Inflation

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Abstract

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.

Additional Information

© 2014 Pleiades Publishing, Ltd. Received December 14, 2013. The second author is supported by a Summer Undergraduate Research Fellowship at Caltech and by the Rose Hills Foundation. The first author is supported by NSF grants DMS-0901221, DMS-1007207, DMS-1201512, PHY-1205440.

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