“Perron-Frobenius Operator”的概念、定义、习题解题方法及翻译-数学辞典

单词

Perron-Frobenius Operator

释义

Perron-Frobenius Operator

An Operator which describes the time evolution of densities in Phase Space. The Operator can be definedby

where

are the Natural Densities after the

th iteration of a map

. This can beexplicitly written as

References

Beck, C. and Schlögl, F. ``Transfer Operator Methods.'' Ch. 17 in Thermodynamics of Chaotic Systems. Cambridge, England: Cambridge University Press, pp. 190-203, 1995.

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