In this paper, we introduce a Lorentzian Anosov family (LAfamily) up to sequence of distributions null vectors. We prove for each p Mi, where Mi is manifold i Z the tangent space at has unique splitting and varies continuously on via distance function created by torsion-free semi-Riemannian connection. present three examples LA-families. Also, define shadowing property type I II some results re...

‘Fat big data’ characterise data sets that contain many more variables than observations. We discuss the use of both principal components analysis and equilibrium correction models to identify cointegrating relations handle stochastic trends in non-stationary fat data. However, most time series are wide-sense non-stationary—induced by joint occurrence distributional shifts—so we also latter sat...

In this study we provide several significant generalisations of Banach contraction principle where the Lipschitz constant is substituted by real-valued control function that a comparison function. We non-stationary variants fixed-point. particular, article looks into “trajectories maps defined systems” which are regarded as generalizations traditional iterated system (IFS). The importance forwa...

a complete linear theory in four dimensional space-time is constructed for propagation and coupling of electromagnetic waves in the most general case, i.e. media where all three space directions are in homogeneous and where temporal changes, anisotropy and absorbtion are also included. the only condition is that the properties of the medium should be slowly varying, although it is assumed that ...

this paper attempts to compare the forecasting performance of the arima model and hybrid arma-garch models by using daily data of the iran’s exchange rate against the u.s. dollar (irr/usd) for the period of 20 march 2014 to 20 june 2015. the period of 20 march 2014 to 19 april 2015 was used to build the model while remaining data were used to do out of sample forecasting and check the forecasti...