For a class of stationary Markov-dependent sequences (ξn, ρn) ∈ R 2, we consider the random linear recursion Sn = ξn + ρnSn−1, n ∈ Z, and show that the distribution tail of its stationary solution has a power law decay. An application to random walks in random environments is discussed. MSC2000: primary 60K15 ; secondary 60K20, 60K37.

Linear recursions of degree k are determined by evaluating the sequence of Generalized Fibonacci Polynomials, {Fk,n(t1, ..., tk)} (isobaric reflects of the complete symmetric polynomials) at the integer vectors (t1, ..., tk). If Fk,n(t1, ..., tk) = fn, then fn − k ∑ j=1 tjfn−j = 0, and {fn} is a linear recursion of degree k. On the one hand, the periodic properties of such sequences modulo a pr...

We develop a new method, based on the Tomas-Stein inequality, to establish non-homogeneous Gagliardo-Nirenberg-type inequalities in RN. Then we use these study standing waves minimizing energy when L2-norm (the mass) is kept fixed for fourth-order Schrödinger equation with mixed dispersion. prove optimal results existence of minimizers mass-subcritical and mass-critical cases. In mass-supercrit...

in this study, application of adaptive neuro-fuzzy inference system (anfis) in forecasting three perspectives (1, 2, and 4 years) ahead of iran’s agricultural products export was compared with arima as the most common econometrics linear forecasting method. for this purpose, iran’s agricultural products export revenues related to 1959-2010, and forecast performance measures such as r2, mad, and...

In this article, we aim to improve the prediction from experts’ aggregation by using underlying properties of models that provide experts involved in procedure. We restrict ourselves case where perform their predictions fitting state-space data Kalman recursions. Using exponential weights, construct different recursions Aggregated Online (KAO) algorithms compete with best expert or convex combi...