We show that the direct product of maps with Young towers admits a Young tower whose return times decay at a rate which is bounded above by the slowest of the rates of decay of the return times of the component maps. An application of this result, together with other results in the literature, yields various statistical properties for the direct product of various classes of systems, including Lorenz-like maps, multimodal maps, piecewise $C^2$ interval maps with critical points and singularities, HÃ©non maps and partially hyperbolic systems.

VL - 36 UR - http://aimsciences.org//article/id/18d4526e-470d-467e-967a-a0345ad4c642 ER - TY - JOUR T1 - On the Yamabe problem and the scalar curvature problems under boundary conditions JF - Math. Ann., 2002, 322, 667 Y1 - 2002 A1 - Antonio Ambrosetti A1 - Li YanYan A1 - Andrea Malchiodi PB - SISSA Library UR - http://hdl.handle.net/1963/1510 U1 - 2653 U2 - Mathematics U3 - Functional Analysis and Applications ER -