it is known that a stochastic dierential equation (sde) induces two probabilisticobjects, namely a diusion process and a stochastic ow. while the diusion process isdetermined by the in nitesimal mean and variance given by the coecients of the sde,this is not the case for the stochastic ow induced by the sde. in order to characterize thestochastic ow uniquely the in nitesimal covariance give...

In this paper, we examine optical ow methods applicable under variable brightness conditions. In particular, we develop a stochastic formulation of Gennert and Negah-daripour's optical ow algorithm. Our model is shown to be well-posed and thus can be used in both simulating and estimating velocity elds with certain known stochastic properties. This model is used to simulate ow elds of diier-ent...

Many diseases are related to cerebrospinal .uid (CSF) hydrodynamics. Therefore, understanding the hydrodynamics of CSF .ow and intracranial pressure is helpful for obtaining deeper knowledge of pathological processes and providing better treatments. Furthermore, engineering a reliable computational method is promising approach for fabricating in vitro models which is essential for inventing gen...

The standing debate over whether hydrological systems are deterministic or stochastic has been taken to a new level by controversial applications of chaos mathematics. This paper reviews the procedure, constraints, and past usage of a popular chaos time series analysis method, correlation integral analysis, in hydrology and adds a new analysis of daily stream ̄ow from a pristine watershed. Signi...

Background: Aflatoxins (AFs) are the most prevalent carcinogenic mycotoxins, produced mainly by Aspergillus flavus and A. parasiticus. The general purpose of the present study was to use Dehydroacetic Acid (DHA) and Ozonated Water (OW) to control A. flavus growth and accumulation of Aflatoxin B1 (AFB1) in Iranian pistachios. Methods: Three treatment pistachio groups were separately immersed ...

This paper proposes and tests an approximation of the solution of a class of piecewise deterministic control problems, typically used in the modeling of manufacturing ow processes. This approximation uses a stochastic programming approach on a suitably discretized and sampled system. The method proceeds through two stages: (i) the Hamilton-Jacobi-Bellman (HJB) dynamic programming equations for ...

Contaminant transport by liquid ow in a porous medium is modeled by the addition of a stochastic term to Darcy's ow equation. The resulting stochastic diierential equation is studied using results from the theory of diiusions as embodied in the Dynkin formula. The resulting integral equation for the probability distribution of uid elements is solved for the case of a spatially homogeneous mediu...

In the title compound, C15H23N3O3S·H2O, the piperidine ring has a chair conformation. In the crystal, the sulfonamide mol-ecules are linked by N-H⋯O hydrogen bonds, forming a layer parallel to (10-1). The layers are inter-connected via N-H⋯Ow, Ow-H⋯N and Ow-H⋯O (w = water) hydrogen bonds, forming a three-dimensional network.

The multiplicative ergodic theorem is valid under an integrability condition on the linearized ow with respect to an invariant measure. We investigate the case were the ow is generated by a stochastic diierential equation and give a criterion in terms of the vector elds and the (generally non-adapted) invariant measure assuring the validity of the integrability condition.

19 to both control the uid ow, and have the discrete control decisions be aaected by observed uid ow. We have provided formal deenition of FSPNs and developed the rules for their dynamic evolution. We have derived coupled systems of partial diierential equations for the transient and the steady-state behavior of FSPNs. Spectral representation of the FSPNs with a single continuous place can be a...