31 citations · 140 across the 29 of their papers we have counts for
4 papers · 1 filter
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…
Non-compact spaces of invariant measures
Godofredo Iommi, Anibal Velozo
We study a compactification of the space of invariant probability measures for a transitive countable Markov shift. We prove that it is affine homeomorphic to the Poulsen simplex.…
Ergodic theorems for set maps under weak forms of additivity
Raimundo Briceño, Godofredo Iommi
We investigate various relaxations of additivity for set maps into Banach spaces in the context of representations of amenable groups. Specifically, we establish conditions under w…
Additive realizations of asymptotically additive set maps
Raimundo Briceño, Godofredo Iommi
Given a countable discrete amenable group, we study conditions under which a set map into a Banach space (or more generally, a complete semi-normed space) can be realized as the er…