Statistical stability for multidimensional piecewise expanding maps

Alves, José; Pumariño, Antonio; Vigil, Enrique

doi:10.1090/proc/13518

Statistical stability for multidimensional piecewise expanding maps
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by José F. Alves, Antonio Pumariño and Enrique Vigil PDF

Proc. Amer. Math. Soc. 145 (2017), 3057-3068 Request permission

Abstract:

We present sufficient conditions for the (strong) statistical stability of some classes of multidimensional piecewise expanding maps. As a consequence we get that a certain natural two-dimensional extension of the classical one-dimensional family of tent maps is statistically stable.

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