Conformal families of measures for fibred systems (Q1416732)

A fibred system is a collection \((Y,T,X,S,\pi)\), where \(Y\) and \(X\) are compact and metrizable spaces, \(T : Y \longrightarrow Y\) and \(S : X \longrightarrow X\) are continuous maps and \(\pi : Y \longrightarrow X\) is a continuous surjective map which satisfies \(\pi \circ T = S \circ \pi\). The authors establish sufficient conditions for the existence (and describe a general construction principle) of (pseudo) weakly conformal and conformal families of measures for such systems.