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Published April 2014 | Submitted
Journal Article Open

Multifractals, Mumford Curves and Eternal Inflation

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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