Although this is a strong approximation, it gives first insights into the possible dynamics of homogeneous neural populations.
We extend the Trotter Kato Chernoff theory of strong approximation of C0 semigroups on Banach spaces to operator-norm approximation of analytic semigroups with error estimate.
One other strong approximation of the model is the absence of mutations or selection.
Early, in [4], Platen gave a convergence theorem for strong approximations of any given order γ ∈ { 0.5, 1, 1.5, … } and originally introduced the so-called jump-adapted schemes which were based on time discretizations that included all the jump times.
We give an overview of the existing literature on the strong approximations of SDEs with Poisson random measure.
These are a consequence of optimal strong approximation for integral quadratic forms associated with certain special quaternion algebras and their arithmetic groups.
Garzón et al. [9] proved a strong uniform approximation with a rate of convergence for subfractional Brownian motion by means of transport processes.
In the present paper, the positive answer will be partially given under some mild conditions with the help of strong approximation method, and, since R / S statistic is defined in a self-normalized form, we will not restrict the finiteness of the second moment for { X, X n, n ≥ 1 }.
