3 papers
math.DS2021
Flip Signatures
Sieye Ryu
A -topological Markov chain is a topological Markov chain provided with an action of the infinite dihedral group . It is defined by two zero-one square matr…
math.DS2018
Predictability, topological entropy and invariant random orders
Andrei Alpeev, Tom Meyerovitch, Sieye Ryu
We prove that a topologically predictable action of a countable amenable group has zero topological entropy, as conjectured by Hochman. On route, we investigate invariant random or…
math.DS2017
The Lind Zeta functions of reversal systems of finite order
Sieye Ryu
A decomposition theorem for the Lind zeta function of a reversal system of finite order is established. A reversal system can be regarded as an action of a certain grou…