Faculty Profile
In the past several decades the statistical study of chaotic dynamical systems has attracted much attention of scientific communities. In such problems, the existence and computation of absolutely continuous measures associated with the underlying transformations are two important aspects of the applications of ergodic theory to applied areas. Such an invariant measure is a stationary density of the Frobenius-Perron operator with respect to the given measurable transformation. Various numerical methods need to be investigated to approximate stationary densities of Frobenius-Perron operators.
Mathematics
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