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Cao, Hongyi, Shi, Yunfeng, Zhang, Zhifei (2023) Localization and Regularity of the Integrated Density of States for Schrödinger Operators on $$\mathbb Z^d$$ with $$C^2$$-cosine Like Quasi-Periodic Potential. Communications in Mathematical Physics, 404 (1) 495-561 doi:10.1007/s00220-023-04847-x

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Reference TypeJournal (article/letter/editorial)
TitleLocalization and Regularity of the Integrated Density of States for Schrödinger Operators on $$\mathbb Z^d$$ with $$C^2$$-cosine Like Quasi-Periodic Potential
JournalCommunications in Mathematical Physics
AuthorsCao, HongyiAuthor
Shi, YunfengAuthor
Zhang, ZhifeiAuthor
Year2023 (November)Volume404
Issue1
PublisherSpringer Science and Business Media LLC
DOIdoi:10.1007/s00220-023-04847-xSearch in ResearchGate
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Mindat Ref. ID16892012Long-form Identifiermindat:1:5:16892012:1
GUID0
Full ReferenceCao, Hongyi, Shi, Yunfeng, Zhang, Zhifei (2023) Localization and Regularity of the Integrated Density of States for Schrödinger Operators on $$\mathbb Z^d$$ with $$C^2$$-cosine Like Quasi-Periodic Potential. Communications in Mathematical Physics, 404 (1) 495-561 doi:10.1007/s00220-023-04847-x
Plain TextCao, Hongyi, Shi, Yunfeng, Zhang, Zhifei (2023) Localization and Regularity of the Integrated Density of States for Schrödinger Operators on $$\mathbb Z^d$$ with $$C^2$$-cosine Like Quasi-Periodic Potential. Communications in Mathematical Physics, 404 (1) 495-561 doi:10.1007/s00220-023-04847-x
In(2023, November) Communications in Mathematical Physics Vol. 404 (1) Springer Science and Business Media LLC

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Cao, Hongyi, Shi, Yunfeng, Zhang, Zhifei (2024) On the Spectrum of Quasi-periodic Schrödinger Operators on $${\mathbb {Z}}^d$$ with $$C^2$$-Cosine Type Potentials. Communications in Mathematical Physics, 405 (8) doi:10.1007/s00220-024-05073-9
Cao, Hongyi, Shi, Yunfeng, Zhang, Zhifei (2025) Localization for Lipschitz Monotone Quasi-periodic Schrödinger Operators on $$\mathbb Z^d$$ via Rellich Functions Analysis. Communications in Mathematical Physics, 406 (5). doi:10.1007/s00220-025-05288-4
Shi, Yunfeng (2021) Absence of Eigenvalues of Analytic Quasi-Periodic Schrödinger Operators on $${\mathbb {R}}^d$$. Communications in Mathematical Physics, 386 (3) 1413-1436 doi:10.1007/s00220-021-04174-z
Ge, Lingrui, You, Jiangong, Zhao, Xin (2022) Hölder Regularity of the Integrated Density of States for Quasi-periodic Long-range Operators on $$\ell ^2({\mathbb {Z}}^d)$$. Communications in Mathematical Physics, 392 (2) 347-376 doi:10.1007/s00220-022-04385-y
Schlag, Wilhelm (2001) On the Integrated Density of States for Schrödinger Operators on ℤ2 with Quasi Periodic Potential. Communications in Mathematical Physics, 223 (1). 47-65 doi:10.1007/pl00005584
Shi, Yunfeng (2023) Localization for Almost-Periodic Operators with Power-law Long-range Hopping: A Nash-Moser Iteration Type Reducibility Approach. Communications in Mathematical Physics, 402 (2) 1765-1806 doi:10.1007/s00220-023-04756-z
Liu, Wencai (2023) Fermi Isospectrality of Discrete Periodic Schrödinger Operators with Separable Potentials on $$\mathbb {Z}^2$$. Communications in Mathematical Physics, 399 (2) 1139-1149 doi:10.1007/s00220-022-04575-8
Avila, Artur, Damanik, David, Zhang, Zhenghe (2014) Singular Density of States Measure for Subshift and Quasi-Periodic Schrödinger Operators. Communications in Mathematical Physics, 330 (2). 469-498 doi:10.1007/s00220-014-1968-2
Jitomirskaya, Svetlana, Liu, Wencai, Shi, Yunfeng (2020) Anderson localization for multi-frequency quasi-periodic operators on $$\pmb {\mathbb {Z}}^{d}$$. Geometric and Functional Analysis, 30 (2) 457-481 doi:10.1007/s00039-020-00530-8
Dolai, Dhriti Ranjan, Krishna, M., Mallick, Anish (2020) Regularity of the Density of States of Random Schrödinger Operators. Communications in Mathematical Physics, 378 (1) 299-328 doi:10.1007/s00220-020-03740-1
Huang, Xiaoqi, Zhang, Cheng (2023) Sharp Pointwise Weyl Laws for Schrödinger Operators with Singular Potentials on Flat Tori. Communications in Mathematical Physics, 401 (2) 1063-1125 doi:10.1007/s00220-023-04665-1
 
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