During the three flood seasons following the Wenchuan earthquake in 2008, two catastrophic groups of debris flow events occurred in the earthquake-affected area: the 2008-9-24 debris flow events, which had a serious impact on rebuilding; and the 2010-8-13/14 debris flow events, which destroyed...

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...

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,...

Purpose: Digital economic innovation is associated with risks. The lack of a platform's profitability weakens the operation's ability to sustain innovators and increases the possibility of the business' termination. Relevant data demonstrate a significant upward trend in the exit of Chinese...

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...