Localization for the anderson model on trees with finite dimensions

Jonathan Breuer

doi:10.1007/s00023-007-0344-6

Localization for the anderson model on trees with finite dimensions

Jonathan Breuer^*

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

11 Scopus citations

Abstract

We introduce a family of trees that interpolate between the Bethe lattice and ℤ. We prove complete localization for the Anderson model on any member of that family.

Original language	English
Pages (from-to)	1507-1520
Number of pages	14
Journal	Annales Henri Poincare
Volume	8
Issue number	8
DOIs	https://doi.org/10.1007/s00023-007-0344-6
State	Published - Dec 2007

Bibliographical note

Funding Information:
This research was supported in part by THE ISRAEL SCIENCE FOUNDATION (grant no. 188/02) and by Grant no. 2002068 from the United States-Israel Binational Science Foundation (BSF), Jerusalem, Israel.

Access to Document

10.1007/s00023-007-0344-6

Cite this

@article{e7f2eaf3263c48869b152463a6332371,

title = "Localization for the anderson model on trees with finite dimensions",

abstract = "We introduce a family of trees that interpolate between the Bethe lattice and ℤ. We prove complete localization for the Anderson model on any member of that family.",

author = "Jonathan Breuer",

note = "Funding Information: This research was supported in part by THE ISRAEL SCIENCE FOUNDATION (grant no. 188/02) and by Grant no. 2002068 from the United States-Israel Binational Science Foundation (BSF), Jerusalem, Israel.",

year = "2007",

month = dec,

doi = "10.1007/s00023-007-0344-6",

language = "אנגלית",

volume = "8",

pages = "1507--1520",

journal = "Annales Henri Poincare",

issn = "1424-0637",

publisher = "Birkhauser Verlag Basel",

number = "8",

}

TY - JOUR

T1 - Localization for the anderson model on trees with finite dimensions

AU - Breuer, Jonathan

N1 - Funding Information: This research was supported in part by THE ISRAEL SCIENCE FOUNDATION (grant no. 188/02) and by Grant no. 2002068 from the United States-Israel Binational Science Foundation (BSF), Jerusalem, Israel.

PY - 2007/12

Y1 - 2007/12

N2 - We introduce a family of trees that interpolate between the Bethe lattice and ℤ. We prove complete localization for the Anderson model on any member of that family.

AB - We introduce a family of trees that interpolate between the Bethe lattice and ℤ. We prove complete localization for the Anderson model on any member of that family.

UR - http://www.scopus.com/inward/record.url?scp=39049144877&partnerID=8YFLogxK

U2 - 10.1007/s00023-007-0344-6

DO - 10.1007/s00023-007-0344-6

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

AN - SCOPUS:39049144877

SN - 1424-0637

VL - 8

SP - 1507

EP - 1520

JO - Annales Henri Poincare

JF - Annales Henri Poincare

IS - 8

ER -

Localization for the anderson model on trees with finite dimensions

Abstract

Bibliographical note

Access to Document

Other files and links

Fingerprint

Cite this