| Research Interests |
• Discrete Schrödinger operators
• Thermodynamic formalism
• Fractal geometry
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| Education |
• 2014.09 - 2018.07, B.S. in Mathematics and Applied Mathematics, Jilin University, China.
• 2018.09 - 2024.06, Ph.D in Mathematics, Tsinghua University, China.
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Employment |
• 2024.07 - 2026.06, Postdoctor, Chern Institute of Mathematics, Nankai University.
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• 2026.07 - Present, Assistant Professor, Center for Applied Mathematics, Tianjin University.
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Publications |
[1] J Cao and Y. Qu: Almost sure dimensional properties for the spectrum and the density of states of Sturmian Hamiltonians. Advances in Mathematics, volume 478, October 2025, 110387, 2025.
[2] J Cao and Z. Yu: The spectral characteristics of the Sturm Hamiltonian with eventually periodic type. arxiv.org/abs/2505.00328, 2025.
[3] J Cao, X.Li, B. Wang and Q. Zhou: Log-Hausdorff multifractality of the absolutely continuous spectral measure of the almost Mathieu operator. arxiv.org/abs/2509.09945, 2025.
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English 
