The total mass U(t) of the 2D parabolic Anderson model with white-noise potential satisfies log U(t) ~ χ t log t almost surely as t → ∞, with χ from a variational formula also governing the principal eigenvalue on expanding boxes.
Title resolution pending
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.PR 1years
2020 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
Longtime asymptotics of the two-dimensional parabolic Anderson model with white-noise potential
The total mass U(t) of the 2D parabolic Anderson model with white-noise potential satisfies log U(t) ~ χ t log t almost surely as t → ∞, with χ from a variational formula also governing the principal eigenvalue on expanding boxes.