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math.DS2022
Invariant measures in non-conformal fibered systems with singularities
Eugen Mihailescu
We study invariant measures and thermodynamic formalism for a class of endomorphisms which are only piecewise differentiable on countably many pieces and non-conformal. The e…
math.DS2022
Geometry of measures in random systems with complete connections
Eugen Mihailescu, Mariusz Urbanski
We study new relations between countable iterated function systems (IFS) with overlaps, Smale endomorphisms and random systems with complete connections. We prove that stationary m…