We live in an era in which ever more complex phenomena (eg, climate change dynamics,
stock markets, complex logistics, and the Internet) are being described with the help of …

This article defines the class of H-valued autoregressive (AR) processes with a unit root of
finite type, where H is a possibly infinite-dimensional separable Hilbert space, and derives a …

New algorithms for computing asymptotic expansions for stationary distributions of
nonlinearly perturbed semi-Markov processes are presented. The algorithms are based on …

A generalization of the Granger and the Johansen Representation Theorems valid for any
(possibly fractional) order of integration is presented. This Representation Theorem is based …

This paper proposes a recursive procedure, called the extended local rank factorization
(elrf), that characterizes the order of the pole and the coefficients of the Laurent series …

We assume that the generalized resolvent for a bounded linear operator pencil mapping
one Banach space onto another has an isolated essential singularity at the origin and is …

In this paper, we provide two algorithms based on the theory of multidimensional neural
network (NN) operators activated by hyperbolic tangent sigmoidal functions. Theoretical …

Human actions have accelerated changes in global temperature, precipitation patterns, and
other critical Earth systems. Key markers of these changes can be linked to the dynamic of …

We consider a linear operator pencil with complex parameter mapping one Hilbert space
onto another. It is known that the resolvent is analytic in an open annular region of the …

We show that the generalized resolvent of a linear pencil in a unital Banach algebra over the
field of complex numbers is analytic on an open annular region of the complex plane if and …