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A class of piecewise $C^2$ Lozi-like maps in three-dimensional Euclideanspaces is introduced, and the existence of Sinai-Ruelle-Bowen measures isstudied, where the dimension of the instability is equal to two. Further, anexample with computer simulations is provided to illustrate the theoreticalresults.

Sinai-Ruelle-Bowen measures for piecewise hyperbolic maps with two directions of instability in three-dimensional spaces