Works towards an explanation of the observed experimental deviation of K41 exponent law are generally based on an energy cascade process. An alternative approach, based on the analysis of turbulent sequences, allows us to construct a sequence model where this deviation has a dynamical origin. We nally show why we were forced to go beyond the markovian model and incorporate into the model the fr...

Statistical evidence suggests that the autocorrelation function of a compressed-video sequence is better captured by (k) = e ? p k than by (k) = k ? = e ? log k (long-range dependence) or (k) = e ?k (Markovian). A video model with such a correlation structure is introduced based on the so-called M=G=1 input processes. Though not Markovian, the model exhibits short-range dependence. Using the qu...

The quantum speed limit (QSL) of the Jaynes-Cummings model with detuning for arbitrary initial states is investigated. We mainly focus on influences detuning, width Lorentzian spectral density, and coherence state non-Markovian speedup evolution in an open system. It found that even Markovian regime, increasing parameter leads to speedup. Moreover, we reveal QSL has inverse relation population ...

We consider the cell population dynamics with n different phenotypes. Both the Markovian branching process model (stochastic model) and the ordinary differential equation (ODE) system model (deterministic model) are presented, and exploited to investigate the dynamics of the phenotypic proportions. We will prove that in both models, these proportions will tend to constants regardless of initial...

Abstract Here a two-state batch arrivals and batch service Markovian queue with server vacation model has been taken into consideration for its mathematical modelling and performance analysis under transient state. The present Markovian queueing model considers a single server with multiple vacations and both arrivals and services in batches of variable size. Arriving customers are processed by...

We consider a bottom-up Markovian copula model of portfolio credit risk where dependence among credit names mainly stems from the possibility of simultaneous defaults. Due to the Markovian copula nature of the model, calibration of marginals and dependence parameters can be performed separately using a two-steps procedure, much like in a standard static copula set-up. In addition, the model adm...

The objective of this paper is to study the filtering problem for a system partially observable processes (X, Y), where X non-Markovian pure jump process representing signal and Y general diffusion which provides observations. Our model covers case both are not necessarily quasi left-continuous, allowing them at predictable stopping times. By introducing Markovian version signal, we able comput...

Bridge maintenance and replacement optimization methods use deterioration models to predict the future condition of bridge components. The purpose of this paper is to develop a framework for bridge maintenance optimization using a deterioration model that takes into account aspects of the history of the bridge condition and maintenance, while allowing the use of efficient optimization technique...

Moment-closure techniques are commonly used to generate low-dimensional deterministic models to approximate the average dynamics of stochastic systems on networks. The quality of such closures is usually difficult to asses and furthermore the relationship between model assumptions and closure accuracy are often difficult, if not impossible, to quantify. Here we carefully examine some commonly u...

In this paper, we present a fuzzy Markovian method for brain tissue segmentation from magnetic resonance images. Generally, there are three main brain tissues in a brain dataset: gray matter, white matter, and cerebrospinal fluid. However, due to the limited resolution of the acquisition system, many voxels may be composed of multiple tissue types (partial volume effects). The proposed method a...