Sentence examples for stationary measures from inspiring English sources

This specific self-interaction leads to nonlinear stochastic differential equations and permits pointing out singular phenomena like non-uniqueness of associated stationary measures.

Our study uses stationary measures of air pollution to represent personal exposures.

We have utilized stationary measures of air pollution to represent personal exposures.

In addition to using personal PM2.5 and EC measures, we have utilized stationary measures of ambient PM10 to represent exposures.

One potential limitation of our study is the use of stationary measures of air pollution to represent personal exposures.

To measure position, we need a stationary measuring object, like a fixed photographic plate.

In equation (7), instead of integrating ν μ w ( t, d v ) over one period, one should integrate it with respect to an ergodic stationary measure.

Inside the drum, a rotating and stationary measuring rod was installed, each assembled with 16 k-type thermocouples to measure the temperatures.

The central section forms the stationary measuring cell composed of the manometer (Figure 1(C)), and the rupture disk and the ball valve (Figure 1(B)) which is linked through the viton tube with a cylinder of the hand pump.

In this framework we show how partially mixed structures can be quantitatively characterized by a non-uniform stationary measure (different from the ergodic measure) associated with the dynamical system generated by the field of asymptotic unstable eigenvectors.

Moreover, under the trilinear condition, the Wiener measure twisted by the diffusion matrix becomes stationary for the limit and we show that the solution of the limit equation exists globally in time when the initial value is sampled from the stationary measure.