Gaussian free field on hyperbolic lattices

Research output: Contribution to journalArticlepeer-review

Abstract

It is shown that the maximum of the height of the Gaussian free field in a ball of a two dimensional hyperbolic lattice, grows linearly with the radius, while only as a square root of the radius on higher dimensional hyperbolic lattices.

Original languageEnglish
Pages (from-to)39-45
Number of pages7
JournalLecture Notes in Mathematics
Volume2116
DOIs
StatePublished - 14 Aug 2014

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory

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