Markov finite approximation of Frobenius-Perron operator with doubly-stochastic tridiagonal action matrix

摘要

We extend the set of finite rank approximations of Frobenius-Perron operators, from projections, to general finite rank operators by indicating an arbitrary action matrix. We prove the convergence in the case for which the action matrix is double-stochastic and tridiagonal, and we find the rate of convergence.