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We introduce the concept of *Expanding Baker Maps* and *renormalizable Expanding Baker Maps* in a two-dimensional scenario. For a one-parameter family of *Expanding Baker Maps* we prove the existence of an interval of parameters for which the respective transformation is *renormalizable*. Moreover, we show the existence of intervals of parameters for which coexistence of strange attractors takes place.

For a two parameter family of two-dimensional piecewise linear maps and for every natural number $n$, we prove not only the existence of intervals of parameters for which the respective maps are n times renormalizable but also we show the existence of intervals of parameters where the coexistence of at least $2^n$ strange attractors takes place. This family of maps contains the two-dimensional extension of the classical one-dimensional family of tent maps.

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