This paper first provides some useful results on a generalized random coefficient autoregressive model and a Markov plus i.i.d. noise model. These results simultaneously imply strict staionarity, existence of higher-order moments, goemetric ergodicity and b-mixing with exponential decay rates,...

Let X(N,d) be a N-parameter Omstein-Uhlenbeck process taking values in ##R##d. In this paper, we prove that, for an arbitrary pair of positive integers (N, d) and any open set S in ##R##d, X(N,d) is recurrent to S. This is surprisingly different from the recurrence properties of the N-parameter...

In this study, an interval-valued minimax regret analysis (IMRA) method is proposed for planning greenhouse gas (GHG) abatement under uncertainty. The IMRA method is a hybrid of interval-parameter programming (IPP) and minimax regret analysis (MMR) techniques. The developed method is applied to...

In regional water management systems, various uncertainties may be derived from random feature of resource conditions and natural processes, errors in estimated modeling parameters, as well as imprecision or fuzziness human-induced. This leads to difficulties in formulating and solving the...

The quantum Goos-Hänchen effect in graphene is found to be the lateral shift of Dirac fermions on the total reflection at a single p-n interface. In this paper, we investigate the lateral shifts of Dirac fermions in transmission through a monolayer graphene barrier. Compared to the smallness of...

In this work, we systematically investigate the group delay time of an electron wave packet through a two-dimensional semiconductor heterostructure. It is shown that the lateral displacement, resulting from the angular spread of the electron wave packet, plays an important role in total delay...