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math.PR2026
The Parabolic Anderson Model's Total Mass at Small Times: Geometry, Fluctuations, and Renormalization
Pierre Yves Gaudreau Lamarre, Yuanyuan Pan
Let be a bounded domain, let be fixed, and let be a fractional Brownian sheet on . Consider the Stratonovich parabolic A…
math.PR2026
Optimal Covariance Estimates for Schrödinger Semigroups with White Noise in
Youssef Djellouli, Pierre Yves Gaudreau Lamarre
For , let be the random Schrödinger operator on where is a standard Gaussian white noise and is a deterministic pot…