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Modified Jacobi-Perron Algorithm and Generating Markov Partitions for Special Hyperbolic Toral Automorphisms
FIGURE 1we are able to study the generating method ofthe domain $X$ and partition { $X_{i}$ ; $i=1,2,3$ which are not only the domains inducing the Markov endomorphism on $\mathbb{P}$ with structur matrix $B$ , but also inducing the domain exchange transformation $W$ on $X$ such tha $Wx=x-\pi e_{i}$ if …