| 科研成果 |
[1] <strong>曹杰</strong>, 王晓光, 尹永成. 面积-容量-模不等式与填充Julia集的面积. 中国科学: 数学, 第49卷第10期: 1359–1372, 2019.
<a href="https://doi.org/10.1360/N012019-00039" target="_blank" rel="noopener noreferrer">[论文链接]</a>
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[2] <strong>Jie Cao</strong>, Xiaoguang Wang, Yongcheng Yin. Boundaries of capture hyperbolic components. arXiv:2206.07462, 2022.
<a href="https://arxiv.org/abs/2206.07462" target="_blank" rel="noopener noreferrer">[论文链接]</a>
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[3] <strong>Jie Cao</strong>, Xiaoguang Wang, Yongcheng Yin. Boundary of the central hyperbolic component I: dynamical properties. arXiv:2506.18487, 2025.
<a href="https://arxiv.org/abs/2506.18487" target="_blank" rel="noopener noreferrer">[论文链接]</a>
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[4] <strong>Jie Cao</strong>, Xiaoguang Wang, Yongcheng Yin. Boundary of the central hyperbolic component II: boundary extension theorem. Math. Ann. 395 (2026), no. 3, Paper No. 69, 45 pp.
<a href="https://doi.org/10.1007/s00208-026-03473-x" target="_blank" rel="noopener noreferrer">[论文链接]</a>
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[5] <strong>Jie Cao</strong>, Shilei Fan, Yong Han, Yanqi Qiu, Zipeng Wang. The optimal hypercontractive constants for ℤ<sub>3</sub> and biased Bernoulli random variables. arXiv:2602.17248, 2026.
<a href="https://arxiv.org/abs/2602.17248" target="_blank" rel="noopener noreferrer">[论文链接]</a>
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[6] <strong>Jie Cao</strong>, Shilei Fan, Yong Han, Yanqi Qiu, Zipeng Wang. Phase transition in optimal hypercontractivity. arXiv:2609.15553, 2026.
<a href="https://arxiv.org/abs/2609.15553" target="_blank" rel="noopener noreferrer">[论文链接]</a>
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更新时间: 2026年10月14日
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科研项目 |
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