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math.DS2006★ 2 cited
Degree-growth of monomial maps
Boris Hasselblatt, James Propp
For projectivizations of rational maps Bellon and Viallet defined the notion of algebraic entropy using the exponential growth rate of the degrees of iterates. We want to call this…
math.DS2005
Topological entropy for non-uniformly continuous maps
Boris Hasselblatt, Zbigniew Nitecki, James Propp
The topological entropy of a continuous self-map of a compact metric space can be defined in several distinct ways; when the space is not assumed compact, these definitions can lea…