IDH-Anderson model and density of states measure
In this paper, we investigate continuity of the density of state (DoS) measure for the Anderson model on the infinite-dimensional hypercube (IDH), which we call IDH-Anderson model. We first show that the DoS measure for the IDH-Anderson model is weak[Formula: see text]-continuous with respect to a single-site probability measure. And then we give a quantitative estimate to the DoS measure, which is weak[Formula: see text]-Lipshitz continuous with respect to a single-site probability measure.
Authors
- Suling Ren (ORCID: https://orcid.org/0000-0002-6095-3351)
- Jinshu Chen (ORCID: https://orcid.org/0000-0003-0351-9206)
- Caishi Wang (ORCID: https://orcid.org/0000-0003-1173-8118)
- Lixia Zhang (ORCID: https://orcid.org/0009-0006-6918-7944)
Institutions
- Lanzhou University of Technology (CN)
- Lanzhou University of Finance and Economics (CN)
- Northwest Normal University (CN)
Publication Details
- Journal
- Infinite Dimensional Analysis Quantum Probability and Related Topics
- Published
- 2025-03-07
- DOI
- https://doi.org/10.1142/s0219025725500043
- Primary Topic
- Opinion Dynamics and Social Influence
- Type
- article
- Field-Weighted Citation Impact
- 0.00