6 papers
Integral Means Spectrum for the Random Riemann Zeta Function
Bertrand Duplantier, Véronique Gayrard, Eero Saksman
We study the integral means spectrum associated with the analytic function whose derivative is the so-called randomized Riemann zeta-function, introduced some time ago by Bagchi. T…
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…
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…
Fractional Heat Semigroup Characterization of Distances from Functions in Lipschitz Spaces to Their Subspaces
Feng Dai, Eero Saksman, Dachun Yang +2
Let denote the inhomogeneous Lipschitz space of order on . This article characterizes the distance $d(f, V)_{Î_s}: = \inf_{g\in V} \|f-g\|_{Î…
Difference and Wavelet Characterizations of Distances from Functions in Lipschitz Spaces to Their Subspaces
Feng Dai, Eero Saksman, Dachun Yang +2
Let denote the Lipschitz space of order on , which consists of all such that, for some constant $L\in(0,\infty…
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}^…