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Городской семинар по теории вероятностей и математической статистике
22 мая 2015 г. 18:00–20:00, г. Санкт-Петербург, ПОМИ, ауд. 311 (наб. р. Фонтанки, 27)
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On the application of Arak's inequalities for concentration functions to the Littlewood-Offord problem
А. Ю. Зайцев |
Количество просмотров: |
Эта страница: | 154 |
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Аннотация:
We discuss the results of a joint paper of Eliseeva, Götze and Zaitsev.
At the beginning of 1980's, Arak (1980, 1981) has published
new bounds for the concentration functions of sums of independent
random variables. These bounds were formulated in terms of the
arithmetic structure of supports of distributions of summands.
Using these results, he has obtained the final solution of an old
problem posed by Kolmogorov (1956). In this talk, we apply
Arak's results to the Littlewood-Offord problem which was intensively
investigated in the last years. We compare the consequences of Arak's
results with recent results of Nguyen, Tao and Vu.
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