Quasi-compactness of Frobenius-Perron Operator for Piecewise Convex Maps with Countable Branches

Pawel Gora, Aparna Rajput

In this paper, we prove the quasi-compactness of the Frobenius-Perron operator for a piecewise convex map $\ddot{I}„$ with a countably infinite number of branches on the interval $I=[0,1]…