Summary
We use here discrete excursion theory, and the Ray-Knight theorem, in order to study questions concerning the analyticity of the density of states at “low disorder”, as well as its smoothness properties, in one dimension.
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Research supported in part by the grants NSF-MCS-82-01599 and DAAG6-84-K-0155
Research partially supported by grant AFOSR-85-0017 from the Air Force Office of Scientific Research
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March, P., Sznitman, AS. Some connections between excursion theory and the discrete Schrödinger equation with random potentials. Probab. Th. Rel. Fields 75, 11–53 (1987). https://doi.org/10.1007/BF00320079
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DOI: https://doi.org/10.1007/BF00320079
Keywords
- Stochastic Process
- Probability Theory
- Statistical Theory
- Random Potential
- Smoothness Property