1, Brownian motion is always present, but it is damped out in some dynamical systems and magnified in others.

2, Hurst exponent plays an important role in brownian motion.

3, Random walks, brownian motion, diffusion.

4, A signal model based on Fractional Brownian Motion ( FBM ) is a common model in nature.

5, Topics include Brownian motion, thermal noise, information theory, entropy, and the author's view of Maxwell's Demon.

6, The path of a particle in Brownian motion is erratic and frequently changes direction.

7, Topics include Brownian motion, thermal noise, information theory, entropy, and the author's personal view of Maxwell's Demon.

8, The property of fractional Brownian motion ( FBM ) is studied in a time and time - scaledomain.

9, Adopting the model of fractional Brownian motion, this paper presents the method of deducing Hurst exponent based on the observed sea clutter of S-band radar.

10, Particles in Brownian motion can often be seen in colloids under special conditions of illumination.

11, Stock prices are approximately brownian motion,() which means they are everywhere continuous but nowhere differentiable.

12, The elastic collision mechanism of Brownian motion is studied, and the equipartition of kinetic energy of Brownian particle has been proved.

13, The theory of Brownian motion is the foundation of the pricing theory of Black Scholes.

14, The Fractal Brownian Motion ( FBM ) provides effective mathematics model, which has important ...

15, Firstly, we introduce the definition, properties integral theory of fractional Brownian motion.

16, For molecular-scale motors, simple surface catalysis as demonstrated in our nanorods may also be too inefficient to counter Brownian motion,[http:///brownian motion.html] whether or not the robot's motion is constrained.

17, Law of the iterated logarithm and martingale property theorem are two important theorems about Brownian motion.

18, In 1827 , upon observing a suspension of pollen grains in water, he discovered BROWNIAN MOTION.

19, Topics include measure theory, limit theorems, bounding probabilities and expectations, coupling and Stein's method, martingales, Markov chains, renewal theory, and Brownian motion.

20, " Einstein, "according to study molecular motion of suspended particles in the liquid static movement" in the text, to explain Atomism " Brownian motion.

21, At the same time, astronomers can look for the spacetime analogues of random Brownian motion.