2 papers
math.DS2025
Gurevic pressure and equidistribution for amenable extensions of countable state Markov shifts
Richard Sharp
We obtain a weighted equidistribution theorem for amenable skew product extensions of countable state Markov shifts satisfying the BIP property. We also show, without requiring the…
math.DS2023
Distribution in homology classes and discrete fractal dimension
James Everitt, Richard Sharp
In this note we examine the proportion of periodic orbits of Anosov flows that lie in an infinite zero density subset of the first homology group. We show that on a logarithmic sca…