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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：The Quantum Perron-Frobenius Theorem
量子力学 Perron-Frobenius Theorem 量子对称性
2023/4/23
We establish the quantum Perron-Frobenius theorem on quantum symmtries. We characterize the structure of the Perron-Frobenius eigenvector space using quantum Fourier analysis (in the sense of picture ...
Ulam method and fractal Weyl law for Perron--Frobenius operators
Ulam method fractal Weyl law Perron--Frobenius operators
2010/4/7
We use the Ulam method to study spectral properties of the Perron-Frobenius operators of dynamical maps in a chaotic regime. For maps with absorption we show that the spectrum is characterized by the ...