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Mo Dick Wong

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Preprint Sep 2026

Power variations of critical Gaussian multiplicative chaos and their spectral applications

We introduce power variations of critical Gaussian multiplicative chaos (GMC) along refining partitions in arbitrary dimension. Under suitable renormalisation, we prove uniform fractional moment bounds via Laplace transform estimates as well as stable convergence to supercritical GMCs. Together, these results provide a...

Mo Dick Wong · 0 citations

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