Almost sure rotation number of circle endomorphisms

In [19], we paid some attention to the L^-spaces, induced by a pseudo L°°-space in a way as described by J.-P. Bertrandias in [2]. In the present paper, we concentrate on the

Then it will suce to apply Herman's theorem on dieomorphisms of the circle to conclude that each of the dieomorphisms appearing in this decomposition can be written as a product

Countries in the African Region have made more progress over the past 10 years but are still not on track to achieve the health and health-related MDGs despite the

From Theorem 4.4, a standard Sturmian word which is a fixed point of a nontrivial morphism has a slope with an ultimately periodic continued fraction expansion.. If its period has

We show that for a large class of maps on manifolds of arbitrary finite dimension, the existence of a Gibbs–Markov–Young structure (with Lebesgue as the reference measure) is

- We consider piecewise affine expanding non-renormalizable interval maps, and prove the stability in L1-norm of densities of their invariant measures.. This based on

The restriction to unimodal maps is for the following reason: in the presence of many critical points the dynamics may split into several independent parts, some of them involving only

The purpose of this paper is to prove that the spectrum of an isotropic Maxwell operator with electric permittivity and magnetic permeability that are periodic along certain