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Existence of normalized potentials for the q-exponential cohomological equation
Existence conjecture. In general, for each $q>0$ , there is an open set of potentials $A$ for which such a pair $(\varphi,c)$ exists.
Conjectureopennonextensive-thermodynamics symbolic-dynamics thermodynamic-formalismarXiv posted 2 days ago

Existence of normalized potentials for the q-exponential cohomological equation