31 citations · 140 across the 29 of their papers we have counts for
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math.DS2010★ 2 cited
Thermodynamic formalism for the positive geodesic flow on the modular surface
Godofredo Iommi
In this note we study the thermodynamic formalism for the positive geodesic flow on the modular surface. We define the pressure and prove the variational principle. We also establi…
math.DS2010
Transience in Dynamical Systems
Godofredo Iommi, Mike Todd
We extend the theory of transience to general dynamical systems with no Markov structure assumed. This is linked to the theory of phase transitions. We also provide examples of new…
math.DS2010★ 23 cited
Multifractal analysis of Birkhoff averages for countable Markov maps
Godofredo Iommi, Thomas Jordan
In this paper we prove a multifractal formalism of Birkhoff averages for interval maps with countably many branches. Furthermore, we prove that under certain regularity assumptions…