The Wiener chaos order of the solution to the stochastic Schrödinger and heat equations is asymptotically Gaussian around a mean proportional to time, so noise sensitivity sets in at perturbation scale 1/t.
Superconcentration and related topics, Vol
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
citation-role summary
background 1
citation-polarity summary
fields
math.PR 1years
2025 1verdicts
CONDITIONAL 1roles
background 1polarities
background 1representative citing papers
citing papers explorer
-
Noise sensitivity for stochastic heat and Schr\"odinger equation
The Wiener chaos order of the solution to the stochastic Schrödinger and heat equations is asymptotically Gaussian around a mean proportional to time, so noise sensitivity sets in at perturbation scale 1/t.