Large Deviation Principles for Lacunary Sums

Christoph Aistleitner, Nina Gantert, Zakhar Kabluchko +2

Let $(a_k{)}_{k\in \mathbb{N}}$ be a sequence of integers satisfying the Hadamard gap condition $a_{k+1}/a_k>q>1$ for all $k\in \mathbb{N}$, and let $$ S_n(ω) = \sum_{k=1}^n\cos(2πa_k ω)…