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limit(W(t)/t,0,T).BMinf(N,T)limit(W(t)/t).limit(W(t)/t,0,T) = 0 .BMN simulation brownian motion by the Normal Distribution , BMRW simulation brownian motion by a Random Walk, BMIrt brownian motion property(invariance by reversal of time), BMscal brownian motion property (invariance by scaling), BMcov empirical covariance for brownian motion.