On Thermodynamics of Rational Maps. II: Non‐Recurrent Maps

By N. Makarov, Stanislav Smirnov. 2003

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Exponential estimates for plurisubharmonic functions and stochastic dynamics (2008, result): “We refer to [6, 21, 25, 7, 27, 36] and the references therein for some results in the case of dimension 1.”
Lyapunov Spectrum of Asymptotically Sub-additive Potentials (2009, unknown): “PΦ(q) = { q log 4, if q ≥ 1 log 4, otherwise and {α ∈ R : EΦ(α) 6= ∅} = {0, log 2, log 3, log 4} $ [0, log 4] = {α ∈ R : Φ∗(µ) = α for some µ ∈ M(X,T )}.”
Equality of pressures for rational functions (2004, methodology): “For the discussion of this approach,consult[M, MS1, MS2 ].”