The notion of long range dependence has traditionally been deened through a slow decay of correlations. This approach may be completely inappropriate in the case of a stochastic process with heavy tails. Yet long memory has been reported to be found in various elds where heavy tails are a standard feature of the commonly used stochastic models. Financial and communications networks data are amo...

We use a coupling method for functional stochastic differential equations with bounded memory to establish an analogue of Wang’s dimension-free Harnack inequality [13]. The strong Feller property for the corresponding segment process is also obtained.

In order to catch up with reality, all the macro-decisions related to long-term mining production planning must be made simultaneously and under uncertain conditions of determinant parameters. By taking advantage of the chance-constrained programming, this paper presents a stochastic model to create an optimal strategy for producing bimetallic deposit open-pit mines under certain and uncertain ...

eye movement desensitization and reprocessing (emdr) process encompasses several nervous system components such as medulla, pons, midbrain, cerebellum, basal ganglia, parietal, frontal and occipital lobes. the role of eye movement (em) has been documented previously in relation with cognitive processing mechanisms. by emdr we can reach some parts of memory which were inaccessible before and als...

we focus on the use of two stable and accurate explicit finite difference schemes in order to approximate the solution of stochastic partial differential equations of it¨o type, in particular, parabolic equations. the main properties of these deterministic difference methods, i.e., convergence, consistency, and stability, are separately developed for the stochastic cases.