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Statistics & Probability

Probability, inference, estimators, regression, causal methods, and uncertainty.

71 published articles6 specialties

Latest in Statistics

Statistics & ProbabilityProbability & Stochastic ProcessesPreprint

Critical Gaussian Chaos on the Circle Has Vanishing Fourier Tails

A new mathematical preprint shows that the Fourier coefficients of the canonical critical Gaussian multiplicative chaos on the circle tend to zero at high frequencies almost surely. The proof uses auxiliary random fields, concentration estimates and a covariance correction, but it does not establish a decay rate for the original coefficients.

Scientific publication4 min read