Large deviations for lacunary trigonometric sums

Kavita Ramanan
Brown University
Thursday, April 15, 2021 - 3:30pm to 4:30pm
Zoom ID 91514486597 (contact faculty for pw)

Lacunary trigonometric sums are known to exhibit several properties that are typical of sums of iid random variables such as the central limit theorem, established by Salem and Zygmund, and the law of the iterated logarithm, due to Erdos and Gal. We study large deviation principles for such sums, and show that they display several interesting features, including sensitivity to the arithmetic properties of the corresponding lacunary sequence. This is joint work with C. Aistleitner, N. Gantert, Z. Kabluchko and J. Prochno.