Further, we investigate how transition dynamics shifted the equilibrium levels of employment and unemployment over time and across space, by deriving the
ergodic distributions related to the observed labour market transitions in each country over the period.
In this section, key statistical properties of the model, e.g., the spatial cross-correlation function (CCF), temporal autocorrelation function (ACF), Wigner-Ville spectrum, and
ergodic capacity under non-isotropic scattering conditions considering the impact of velocity variations will be derived.
Bou-Rabee and Vanden-Eijnden propose a strategy for simulating stochastic differential equations, adopting an approach that is more tailored to the probabilistic structure of the solution in order to design stable and (weakly) accurate schemes for their simulation that are both provably
ergodic when the underlying stochastic differential equation is, and faithful to the geometry of their domain of integration.
In this paper, the system performance (in the term the achievable throughput, the outage probability,
ergodic capacity) of a two-way decode-and-forward two-way relaying network over Rician fading channel under the hardware impairment effect is proposed, analysed and demonstrated in details.
With the aim of classifying objective and subjective expressions, a discrete
ergodic HMM was employed.
(iii) (X, f) has a unique
ergodic measure [mu] and [[phi].sub.*] [mu] and is the standard Lebesgue measure on T.
In Section 2, we present some lemmas concerning the existence of a global positive solution and
ergodic stationary distribution.
Nonlinear operator theory applies to diverse nonlinear problems in many areas such as differential equations, nonlinear
ergodic theory, game theory, optimization problems, control theory, variational inequality problems, equilibrium problems, and split feasibility problems.
This action is known to be
ergodic (see for example [FTP82] and [FTP83]), but since the measure is not preserved, no theorem on the convergence of means of the corresponding unitary operators had been proved.
Bruck, Jr, A simple proof of the mean
ergodic theorem for nonlinear contractions in Banach spaces, Israel J.