Gaussian free field on hyperbolic lattices

Itai Benjamini

doi:10.1007/978-3-319-09477-9_2

Gaussian free field on hyperbolic lattices

Itai Benjamini

Department of Mathematics

Weizmann Institute of Science

Research output: Contribution to journal › Article › peer-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 language	English
Pages (from-to)	39-45
Number of pages	7
Journal	Lecture Notes in Mathematics
Volume	2116
DOIs	https://doi.org/10.1007/978-3-319-09477-9_2
State	Published - 14 Aug 2014

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

Access to Document

10.1007/978-3-319-09477-9_2

Cite this

@article{1283ac54412b470781f692f12ecad18b,

title = "Gaussian free field on hyperbolic lattices",

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.",

author = "Itai Benjamini",

note = "Publisher Copyright: {\textcopyright} Springer International Publishing Switzerland 2014.",

year = "2014",

month = aug,

day = "14",

doi = "10.1007/978-3-319-09477-9_2",

language = "الإنجليزيّة",

volume = "2116",

pages = "39--45",

journal = "Lecture Notes in Mathematics",

issn = "0075-8434",

publisher = "Springer Verlag",

}

TY - JOUR

T1 - Gaussian free field on hyperbolic lattices

AU - Benjamini, Itai

PY - 2014/8/14

Y1 - 2014/8/14

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=84921832381&partnerID=8YFLogxK

U2 - 10.1007/978-3-319-09477-9_2

DO - 10.1007/978-3-319-09477-9_2

M3 - مقالة

SN - 0075-8434

VL - 2116

SP - 39

EP - 45

JO - Lecture Notes in Mathematics

JF - Lecture Notes in Mathematics

ER -

Gaussian free field on hyperbolic lattices

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Cite this