Bt, where k is the Boltzmann constant, T is temperature, and B is the mobility of the particle.
This process can be considered a form of semimartingale, especially in its applications to securities investment and gambling probability predictions. The mean-square displacement of a particle exhibiting this is shown by the equation r squared= 6k times T times Bt, where k is the Boltzmann constant, T is temperature, and B is the mobility of the particle. Having a fractal dimension of 2, it is a Wiener process and can also be approximated using the Langevin (lan-zhuh-van) equation, and Jean Perrin used it to determine Avogadro's constant. First observed by its namesake in pollen grains suspended in water, For 10 points, name this type of random movement, an analysis of which which was characterized in a 1905 paper by Albert Einstein. 
This process can be considered a form of semimartingale, especially in its applications to securities investment and gambling probability predictions.
Brownian Motion 