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Invariants of twist-wise flow equivalence

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  • Flow equivalence of irreducible nontrivial square nonnegative integer matrices is completely determined by two computable invariants, the Parry-Sullivan number and the Bowen-Franks group. Twist-wise flow equivalence is a natural generalization that takes account of twisting in the local stable manifold of the orbits of a flow. Two new invariants in this category are established.
    Mathematics Subject Classification: Primary: 58F25, 58F13; Secondary: 58F20, 58F03.

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