1 option
Anderson-Bernoulli Localization on 2D and 3D Lattice / Linjun Li.
- Format:
- Book
- Thesis/Dissertation
- Author/Creator:
- Li, Linjun, author.
- Language:
- English
- Subjects (All):
- Mathematics.
- Mathematics--Penn dissertations.
- Penn dissertations--Mathematics.
- Local Subjects:
- Mathematics.
- Mathematics--Penn dissertations.
- Penn dissertations--Mathematics.
- Physical Description:
- 1 online resource (275 pages)
- Distribution:
- Ann Arbor : ProQuest Dissertations & Theses, 2022
- Contained In:
- Dissertations Abstracts International 84-03B.
- Place of Publication:
- [Philadelphia, Pennsylvania] : University of Pennsylvania, 2022.
- Language Note:
- English
- Summary:
- The Anderson model describes the behaviour of electrons inside a piece of metal with uniform impurity. The Anderson-Bernoulli model is a special case of the Anderson model where the potential has Bernoulli distribution. We consider Anderson-Bernoulli localization on d dimensional lattice for d=2,3. For d=2, we prove that, if the potential has symmetric Bernoulli distribution and the disorder is large, then localization happens outside a small neighborhood of finitely many energies. For d=3, we prove that localization happens at the bottom of the spectrum.
- Notes:
- Source: Dissertations Abstracts International, Volume: 84-03, Section: B.
- Advisors: Ding, Jian; Committee members: Pemantle, Robin; Strain, Robert.
- Department: Mathematics.
- Ph.D. University of Pennsylvania 2022.
- Local Notes:
- School code: 0175
- ISBN:
- 9798351434698
- Access Restriction:
- Restricted for use by site license.
The Penn Libraries is committed to describing library materials using current, accurate, and responsible language. If you discover outdated or inaccurate language, please fill out this feedback form to report it and suggest alternative language.