Knot invariants from topological entropy

For any fibered n-knot K, we define an invariant hK, called the entropy of K. Algebraic lower-bound estimates of the entropy are, like hK itself, sensitive n-knot invariants, and we describe them. We extend the definition of entropy in a natural way for any 1-knot. We prove a finiteness theorem, a corollary of which implies that entropy and genus determine any fibered 1-knot up to finitely many fibered possibilities.