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.

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10.1007/s00023-007-0344-6

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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",

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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 - https://www.scopus.com/pages/publications/39049144877

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Localization for the anderson model on trees with finite dimensions

Abstract

Bibliographical note

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