The Abramov-Rokhlin Entropy Addition Formula for Amenable Group Actions.
Rescaling of Markov shifts.
Three results on mixing shapes.
Automorphisms with exotic orbit growth
The dynamical Mertens' theorem describes asymptotics for the growth in the number of closed orbits in a dynamical system. We construct families of ergodic automorphisms of fixed entropy on compact connected groups with a continuum of growth rates on two different growth scales. This shows in particular that the space of all ergodic algebraic dynamical systems modulo the equivalence of shared orbit-growth asymptotics is not countable. In contrast, for the equivalence relation of measurable isomorphism...
A dynamical interpretation of the global canonical height on an elliptic curve.
Arithmetic and growth of periodic orbits.
The canonical height of an algebraic point on an elliptic curve.
A note on mixing properties of invertible extensions.
Integer sequences and periodic points.
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