The spectral characteristics of the Sturm Hamiltonian with eventually periodic type

[2505.00328] The spectral characteristics of the Sturm Hamiltonian with eventually periodic type Skip to main content Search Submit Donate Log in Mathematics > Dynamical Systems arXiv:2505.00328 (math) [Submitted on 1 May 2025 ( v1 ), last revised 4 Jun 2026 (this version, v2)] Title: The spectral characteristics of the Sturm Hamiltonian with eventually periodic type Authors: Jie Cao , Zhenyu Yu View PDF HTML (experimental) Abstract: In this paper we consider the spectral characteristics of the Sturm Hamiltonian with eventually periodic type frequencies under large coupling and establish strict inequalities between the optimal Hölder exponent of the density of states measure, the dimension of the density of states measure, the dimension of the spectrum, and the transport exponent by analyzing the thermodynamic pressure function. Also, we provide the large coupling asymptotic properties of the four spectral characteristics. Subjects: Dynamical Systems (math.DS) Cite as: arXiv:2505.00328 [math.DS] (or arXiv:2505.00328v2 [math.DS] for this version) https://doi.org/10.48550/arXiv.2505.00328 Focus to learn more arXiv-issued DOI via DataCite Journal reference: Annales Henri Poincaré. (2026) Related DOI : https://doi.org/10.1007/s00023-026-01749-1 Focus to learn more DOI(s) linking to related resources Submission history From: Jie Cao [ view email ] [v1] Thu, 1 May 2025 05:58:07 UTC (110 KB) [v2] Thu, 4 Jun 2026 08:24:05 UTC (53 KB) Full-text links: Access Paper: View PDF HTML (experimental) TeX Source view license Current browse context: math.DS < prev | next > new | recent | 2025-05 Change to browse by: math References & Citations SciX Google Scholar Semantic Scholar export BibTeX citation Bookmark Bibliographic Tools Bibliographic and Citation Tools Bibliographic Explorer Toggle Bibliographic Explorer ( What is the Explorer? ) Connected Papers Toggle Connected Papers ( What is Connected Papers? ) Litmaps Toggle Litmaps ( What is Litmaps? ) scite.ai Toggle scite Smart Citations ( What are Smart Citations? ) Code, Data, Media Code, Data and Media Associated with this Article alphaXiv Toggle alphaXiv ( What is alphaXiv? ) Links to Code Toggle CatalyzeX Code Finder for Papers ( What is CatalyzeX? ) DagsHub Toggle DagsHub ( What is DagsHub? ) GotitPub Toggle Gotit.pub ( What is GotitPub? ) Huggingface Toggle Hugging Face ( What is Huggingface? ) ScienceCast Toggle ScienceCast ( What is ScienceCast? ) Demos Demos Replicate Toggle Replicate ( What is Replicate? ) Spaces Toggle Hugging Face Spaces ( What is Spaces? ) Spaces Toggle TXYZ.AI ( What is TXYZ.AI? ) Related Papers Recommenders and Search Tools Link to Influence Flower Influence Flower ( What are Influence Flowers? ) Core recommender toggle CORE Recommender ( What is CORE? ) Author Venue Institution Topic About arXivLabs arXivLabs: experimental projects with community collaborators arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website. Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them. Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs . Which authors of this paper are endorsers? | Disable MathJax ( What is MathJax? ) We gratefully acknowledge support from our major funders , member institutions , and all contributors. About · Help · Contact · Subscribe · Copyright · Privacy · Accessibility · Operational Status (opens in new tab) Major funding support from (opens in new tab) (opens in new tab) (opens in new tab)

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