2 papers
math.DS2025
Convergence of the Birkhoff spectrum for nonintegrable observables
Godofredo Iommi, Mike Todd, Boyuan Zhao
We consider interval maps with countably many full branches and observables with polynomial tails. We show that the Birkhoff spectrum is real analytic and that its convergence to t…
math.DS2024
Countable Markov shifts with exponential mixing
Mike Todd, Boyuan Zhao
We give a set of equivalent conditions for a potential on a Countable Markov Shift to have strong positive recurrence, which is also equivalent to having exponential decay of corre…