7 citations · 23 across the 23 of their papers we have counts for
23 papers
Local inverse measure-theoretic entropy for endomorphisms
Eugen Mihailescu, Radu B. Munteanu
We introduce a new notion of local inverse metric entropy along backward trajectories for ergodic measures preserved by endomorphisms (non-invertible maps) on a compact metric spac…
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…
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…
Thermodynamic formalism for invariant measures in iterated function systems with overlaps
Eugen Mihailescu
We study images of equilibrium (Gibbs) states for a class of non-invertible transformations associated to conformal iterated function systems with overlaps . We prove e…
Pressures for multi-potentials in semigroup dynamics
Eugen Mihailescu
We study several notions of topological pressure and capacities for multi-potentials , with respect to finitely generated continuous semigroups …
Pointwise dimension for a class of measures on limit sets
Eugen Mihailescu
We study the pointwise dimension for a new class of projection measures on arbitrary fractal limit sets without separation conditions. We prove that the pointwise dimension exists…