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math.SP2026
Analysis of the Singular Spectrum for General Perturbations
Constanze Liaw, Eero Saksman, Sergei Treil
We investigate the behavior of the singular spectrum of self-adjoint operators under families of Hermitian perturbations, even non-compact ones. Under mild assumptions we have the…
math.CV2026
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…
math.PR2026
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…