Let f be a measure-preserving transformation of a Lebesgue space (X,μ) and let F be its extension to a bundle E = X × R by smooth fiber maps Fx : Ex → Efx so that the derivative of F at the zero section has negative Lyapunov exponents. We construct a measurable system of smooth coordinate changes Hx on Ex for μ-a.e. x so that the maps Px = Hfx ◦Fx ◦H−1 x are sub-resonance polynomials in a finit...

The purpose of this paper is to prove some theorems which generalize a theorem of M. Tel ci, K. Tas and B. Fisher on compatible mappings and compatible mappings of type (A). Let S, T be two self-mappings of a metric space (X; d). Sessa 7] deenes S and T to be weakly commuting if d(STx; TSx) 6 d(Tx; Sx) for all x in X. Jungck 3] deenes T and S to be compatible ii lim n d(STx n ; TSx n) = 0 whene...

Commuting data is increasingly used to describe population mobility in epidemic models. However, there is little evidence that the spatial spread of observed epidemics agrees with commuting. Here, using data from 25 epidemics for influenza-like illness in France (ILI) as seen by the Sentinelles network, we show that commuting volume is highly correlated with the spread of ILI. Next, we provide ...

This paper analyzes the determinants of the perceived stress level of workers with a special focus on the effects of commuting, while controlling for personal and work-related characteristics. Using ordered logistic regression we find that several dimensions of the commuting situation, such as impedance, control and predictability of commuting, significantly influence the perceived stress level...

Let $f$ and $g$ be two quasiregular maps in $\mathbb{R}^d$ that are of transcendental type also satisfy $f\circ g =g \circ f$. We show if the fast escaping sets those functions contained their respective Julia then must have same set. obtain conclusion about commuting quasimeromorphic with infinite backward orbit infinity. Furthermore we permutable form $g=\phi\circ f$, where $\phi$ is a quasic...

The societal need for a mobile workforce increases time spent commuting and thus also the total workday. How this affects individual well-being and social life is, however, surprisingly little known. We investigated the relation between commuting time and mode, and social participation and general trust in other people as measures of social capital, using data from public health surveys conduct...