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Sufficient criteria for the application of Fürstenberg's theorem with applications to the 1D continuum Bernoulli Anderson model Fillman, Jake
Description
Almost every proof of localization for one-dimensional Anderson models begins with the classical Fürstenberg theorem about products of random matrices. We review the statement of Fürstenberg's theorem and some sufficient conditions which imply the hypotheses of said theorem. As an application, we give a simple proof of positive Lyapunov exponents in the 1D continuum Bernoulli Anderson model.
Item Metadata
Title |
Sufficient criteria for the application of Fürstenberg's theorem with applications to the 1D continuum Bernoulli Anderson model
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2019-09-17T15:30
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Description |
Almost every proof of localization for one-dimensional Anderson models begins with the classical Fürstenberg theorem about products of random matrices. We review the statement of Fürstenberg's theorem and some sufficient conditions which imply the hypotheses of said theorem. As an application, we give a simple proof of positive Lyapunov exponents in the 1D continuum Bernoulli Anderson model.
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Extent |
54.0 minutes
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Subject | |
Type | |
File Format |
video/mp4
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Language |
eng
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Notes |
Author affiliation: Texas State University
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Series | |
Date Available |
2020-03-16
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Provider |
Vancouver : University of British Columbia Library
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Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
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DOI |
10.14288/1.0389573
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URI | |
Affiliation | |
Peer Review Status |
Unreviewed
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Scholarly Level |
Researcher
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Rights URI | |
Aggregated Source Repository |
DSpace
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Item Citations and Data
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International