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piecewise Piecewise expanding map

I think that piecewise expanding mapmaps on the unit interval hashave been studied  .Is Is there something analogous in dimension 2 with the same good propertyproperties? In other words, maybe I want some good results which holdshold for piecewise expanding mapmaps, and can be extended to higher dimension,such such as the results about Perron Frobenius operator-Frobenius operators.

piecewise expanding map

I think that piecewise expanding map on the unit interval has been studied  .Is there something analogous in dimension 2 with the same good property? In other words, maybe I want some good results which holds for piecewise expanding map can be extended to higher dimension,such as the results about Perron Frobenius operator

Piecewise expanding map

I think that piecewise expanding maps on the unit interval have been studied. Is there something analogous in dimension 2 with the same good properties? In other words, maybe I want some good results which hold for piecewise expanding maps, and can be extended to higher dimension, such as the results about Perron-Frobenius operators.

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piecewise expanding map

I think that piecewise expanding map on the unit interval has been studied .Is there something analogous in dimension 2 with the same good property? In other words, maybe I want some good results which holds for piecewise expanding map can be extended to higher dimension,such as the results about Perron Frobenius operator