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math.PR2023
Conformal welding of independent Gaussian multiplicative chaos measures
Antti Kupiainen, Michael McAuley, Eero Saksman
We solve the classical conformal welding problem for a composition of two random homeomorphisms generated by independent Gaussian multiplicative chaos measures with small parameter…
math.PR2023★ 1 cited
A covariance formula for the number of excursion set components of Gaussian fields and applications
Dmitry Beliaev, Michael McAuley, Stephen Muirhead
We derive a covariance formula for the number of excursion or level set components of a smooth stationary Gaussian field on contained in compact domains. We also pre…