Symbolic dynamics for Lozi maps

In this paper we study the family of the Lozi maps $L_{a,b} : {\mathbb R}^2 \to {\mathbb R}^2$,$L_{a,b} = (1 + y - a|x|, bx)$, and their strange attractors ${\mathrm{\Lambda }}_{a,b}$. We introduce the set of kneading sequences for the Lozi map and prove that it determines the symbolic dynamics for that map. We also introduce two other equivalent approaches.