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math.DS2026
Equidistribution and thermodynamics at infinity
Godofredo Iommi, Felipe Riquelme, Aníbal Velozo
We prove level-2 large deviation upper bounds for potentials on countable Markov shifts and for suspension semi-flows over countable Markov shifts. For strongly positive recurrent…
math.DS2026
Continuous pointwise ergodicity for semigroup actions on locally compact spaces
Raimundo Briceño, Godofredo Iommi
We investigate proper actions of arbitrary semigroups on separable locally compact metric spaces, where point orbits are allowed to escape to infinity. An action is pointwise uniqu…
math.DS2024
Odometers in non-compact spaces
Godofredo Iommi, Mario Ponce
We define an odometer in the Baire space. That is the non-compact space of one sided sequences of natural numbers. We go on to prove that it is topologically conjugated to the dyad…