Markov finite approximation of Frobenius-Perron operator with doubly-stochastic tridiagonal action matrix
The authors extend the set of finite rank approximations of Frobenius-Perron operators from projection to general finite rank operators. They associate an \(n\times n\) matrix (action matrix) to each finite rank approximation operator. The authors propose the Markov finite approximation of a Frobenius-Perron operator, based on a doubly-stochastic and tridiagonal matrix and demonstrate the convergence of the approximation. The rate of convergence of the proposed method is found to be \(O(1/n)\).
doubly-stochastic tridiagonal action matrix
scientific article; zbMATH DE number 1062211