Mike Boyle, Bruce Kitchens
Indagationes Mathematicae
Let f be an endomorphism of an irreducible sofic system S, where S has entropy log λ. The degree of f is the number d such that f is d to 1 almost everywhere. Then d divides a power of the greatest common divisor of the nonleading coefficients of the minimal polynomial of λ. Also, f multiplies the natural measure on unstable sets of generic points by a positive unit of the ring generated by 1/λ and the algebraic integers of Q[λ]. Related results hold for bounded to one homomorphisms of sofic systems. © 1986 The Weizmann Science Press of Israel.
Mike Boyle, Bruce Kitchens
Indagationes Mathematicae
Mike Boyle
Ergodic Theory and Dynamical Systems
Mike Boyle, John Franks, et al.
Ergodic Theory and Dynamical Systems
Mike Boyle, Wolfgang Krieger
Trans. Am. Math. Soc.