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Subjects
37-XX Dynamical systems and ergodic theory
37Exx Low-dimensional dynamical systems
37E15 Combinatorial dynamics (types of periodic orbits)

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Critical portraits for postcritically finite polynomials

Alfredo Poirier (2009)

Fundamenta Mathematicae

We extend the work of Bielefeld, Fisher and Hubbard on critical portraits to arbitrary postcritically finite polynomials. This gives the classification of such polynomials as dynamical systems in terms of their external ray behavior.

Cycles of distance-decreasing mappings in the ring of n-adic integers

V. I. Sushchanski, E. Moćko, V. V. Nekrashevych (2006)

Colloquium Mathematicae

We give a description of possible sets of cycle lengths for distance-decreasing maps and isometries of the ring of n-adic integers.

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