Transfer operator
PUSHFORWARD ON THE SPACE OF MEASURABLE FUNCTIONS
Ruelle operator; Perron-Frobenius operator; Perron-Frobenius Operator; Frobenius-Perron operator; Bernoulli operator; Ruelle-Frobenius-Perron operator; Frobenius–Perron operator; Perron–Frobenius operator
In mathematics, the transfer operator encodes information about an iterated map and is frequently used to study the behavior of dynamical systems, statistical mechanics, quantum chaos and fractals. In all usual cases, the largest eigenvalue is 1, and the corresponding eigenvector is the invariant measure of the system.