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In this paper we review some concepts of Dimension Theory in Dynamical Systems and we show how to apply them for studying growth rates of Kleinian groups acting on the hyperbolic plane H
2. The mainly focus on: multifractal analysis, additive and nonadditive thermodynamic formalisms and Gibbs...
We investigate the linearizability problem for different classes of 4-webs in the plane. In particular, we apply the linearizability conditions, recently found by Akivis, Goldberg and Lychagin, to confirm that a 4-web MW (Mayrhofer's web) with equal curvature forms of its 3-subwebs and a...
The paper examines the integration of Young functions applied to Young measures and identifies Orlicz-like structures in the space of Young measures. In particular, a convergence intermediate between the weak convergence of measures and the variational norm is determined; it serves in the...
We consider the following system of Fredholm intergral equations u
(s)) ds, t∈[0,1], 1≤i≤n. Criteria are offered for the existence of single, double and multiple solutions of the system that are of constant signs. The generality of the results...
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