31 citations · 140 across the 29 of their papers we have counts for
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math.DS2011★ 1 cited
The Lyapunov spectrum as the Newton method
Godofredo Iommi
For a class of dynamical systems, the cookie-cutter maps, we prove that the Lyapunov spectrum coincides with the map given by the Newton-Raphson method applied to the derivative of…
math.DS2011★ 16 cited
Almost-additive thermodynamic formalism for countable Markov shifts
Godofredo Iommi, Yuki Yayama
We introduce a definition of pressure for almost-additive sequences of continuous functions defined over (non-compact) countable Markov shifts. The variational principle is proved.…