3 papers
math.PR2021
On strong forms of the Borel--Cantelli lemma and intermittent interval maps
Andrei N. Frolov
We derive new variants of the quantitative Borel--Cantelli lemma and apply them to analysis of statistical properties for some dynamical systems. We consider intermittent maps of $…
math.PR2020
On upper and lower bounds for probabilities of combinations of events
Andrei N. Frolov
We derive new upper and lower bounds for probabilities that or at least from events occur. These bounds can turn to equalities. The method is discussed as well. It work…
math.PR2019
On large deviations for combinatorial sums
Andrei N. Frolov
We investigate asymptotic behaviour of probabilities of large deviations for normalized combinatorial sums. We find a zone in which these probabilities are equivalent to the tail o…