70 citations · 402 across the 54 of their papers we have counts for
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Renormalized stochastic pressure equation with log-correlated Gaussian coefficients
Benny Avelin, Tuomo Kuusi, Patrik Nummi +3
We study periodic solutions to the following divergence-form stochastic partial differential equation with Wick-renormalized gradient on the -dimensional flat torus $\mathbb{T}^…
1D stochastic pressure equation with log-correlated Gaussian coefficients
Benny Avelin, Tuomo Kuusi, Patrik Nummi +3
We study unique solvability for one dimensional stochastic pressure equation with diffusion coefficient given by the Wick exponential of log-correlated Gaussian fields. We prove we…
Random analytic functions via Gaussian multiplicative chaos
Yichao Huang, Eero Saksman
We define a random analytic function on the unit disc by letting a Gaussian multiplicative measure to be one of its Clark measures. We show that is almost surely a Blaschke…
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…
Local times and sample path properties of the Rosenblatt process
George Kerchev, Ivan Nourdin, Eero Saksman +1
Let be the Rosenblatt process with Hurst index . We prove joint continuity for the local time of , and establish Hölder conditions for the…
On the regularity of complex multiplicative chaos
Janne Junnila, Eero Saksman, Lauri Viitasaari
Denote by the Gaussian multiplicative chaos which is defined using a log-correlated Gaussian field on a domain . The case $β\in\mathbb{R}…