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math.PR2015
A short proof of a certain version of Kolmogorov strong law of large numbers
Gogi R. Pantsulaia
By using the properties of the uniformly distributed sequences of real numbers on , a short proof of a certain version of Kolmogorov strong law of large numbers is presented…
math.PR2015
Under Collatz conjecture the Collatz mapping has no an asymptotic mixing property
Gogi Pantsulaia
By using properties of Markov homogeneous chains and Banach measure in , it is proved that a relative frequency of even numbers in the sequence of -th coordinates of…