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math.PR2026
Zero correlations and averaged fields of orthonormal Gaussian functions
LuÃs Daniel Abreu, Tomoyuki Shirai
We consider the family of point processes of zeros of Gaussian random functions , arising from t…
math.PR2025
Analytic continuation of time in Brownian motion. Stochastic distributions approach
Luis Daniel Abreu, Daniel Alpay, Tryphon Georgiou +1
With the use of Hida's white noise space theory space theory and spaces of stochastic distributions, we present a detailed analytic continuation theory for classes of Gaussian proc…