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math.PR2025
Moment generating functions and moderate deviation principles for lacunary trigonometric sums
Christoph Aistleitner, Lorenz Frühwirth, Manuel Hauke +1
In a recent paper, Aistleitner, Gantert, Kabluchko, Prochno and Ramanan studied large deviation principles (LDPs) for lacunary trigonometric sums , whe…
math.PR2025
On a Problem of Kac concerning Anisotropic Lacunary Sums
Lorenz Fruehwirth, Manuel Hauke
Given a lacunary sequence , arbitrary positive weights that satisfy a Lindeberg-Feller condition, and a function $f: \mathbb{T}…