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We provide the full theory of thermodynamic formalism for a very generalcollection of entire functions in class $\mathcal B$. This class overlaps withthe collection of all entire functions for which thermodynamic formalism hasbeen so far established and contains many new functions.  The key point is that we introduce an integral means spectrum for logarithmictracts which takes care of the fractal behavior of the boundary of the tractnear infinity. It turns out that this spectrum behaves well as soon as thetracts have some sufficiently nice geometry which, for example, is the case forquasicircle, John or H\"older tracts. In this case we get a good control of thecorresponding transfer operators, leading to full thermodynamic formalism alongwith its applications such as exponential decay of correlations, central limittheorem and a Bowen's formula for the Hausdorff dimension of radial Julia sets.  Our approach applies in particular to every hyperbolic function from anyEremenko-Lyubich analytic family of Speiser class $\mathcal S$ provided thisfamily contains at least one function with H\"older tracts. The latter is, forexample, the case if the family contains a Poincar\'e linearizer.

Thermodynamic formalism and integral means spectrum of asymptotic tracts for transcendental entire functions