Let f : [0, 1]× [0, 1]\{1/2} → [0, 1]× [0, 1] be the C∞ endomorphism given by f(x, y) = ( 2x− b2xc, y + c |x− 1/2| − ⌊ y + c |x− 1/2| ⌋) , c ∈ IR We prove that f is topologically mixing and if c > 1/4 then f is mixing with respect to Lebesgue measure. Furthermore we prove that the speed of mixing is exponential. This skew-product can be seen as a toy-model related to Lorenz-like attractors. 200...

Recent advances in microfabrication, and the apparent neces-sity of miniaturizing detection and diagnostic systems has led to the emer-gence of a new research field called lab-on-chip, which are mostly workingwith fluids. Liquids actuations at the micrometer scale allow the develop-ment of many new methods based on electric field and potential. Electro-wetting has been widel...

A local linear kernel estimator of the regression function x 7→ g(x) := E[Yi|Xi = x], x ∈ R , of a stationary (d+1)-dimensional spatial process {(Yi,Xi), i ∈ Z } observed over a rectangular domain of the form In := {i = (i1, . . . , iN ) ∈ Z N |1 ≤ ik ≤ nk, k = 1, . . . ,N}, n = (n1, . . . , nN ) ∈ Z N , is proposed and investigated. Under mild regularity assumptions, asymptotic normality of th...

introduction: the aim of the present study was to evaluate the effect of different mixing techniques (conventional, amalgamator and ultrasonic mixing) on the physical properties the working time (wt), setting time (st), dimensional changes (dc) and film thickness (ft)] of calcium-enriched mixture (cem) cement and mineral trioxide aggregate (mta). methods and materials: the mentioned physical pr...

We study the convergence to stationarity for random walks on dynamic digraphs with given degree sequences. The undergo full regeneration at independent geometrically distributed time intervals parameter α. Relaxation is result of an interplay and mixing static digraph. When number vertices n tends infinity α zero, we find three scenarios according whether αlogn converges or some finite positive...