7 papers
Martingale problem of the two-dimensional stochastic heat equation at criticality
Yu-Ting Chen
We study the martingale formulation of the two-dimensional stochastic heat equation (SHE) at criticality. The main theorem proves an exact recursive-type equation that expresses th…
Stochastic motions of the two-dimensional many-body delta-Bose gas, I: One- motions
Yu-Ting Chen
This paper is the first in a series devoted to constructing stochastic motions for the two-dimensional -body delta-Bose gas for all integers and establishing the assoc…
Stochastic motions of the two-dimensional many-body delta-Bose gas, IV: Transformations of relative motions
Yu-Ting Chen
This paper is the last in a series devoted to constructing stochastic motions representing the two-dimensional -body delta-Bose gas for all integers via Feynman-Kac-ty…
Asymptotic exponential moments of two-dimensional additive functionals above subcriticality
Yu-Ting Chen
We introduce new asymptotic formulas for the exponential moments of rescaled additive functionals of two-dimensional Brownian motion, extending the analysis to parameter regimes th…
Stochastic motions of the two-dimensional many-body delta-Bose gas, III: Path integrals
Yu-Ting Chen
This paper is the third in a series devoted to constructing stochastic motions for the two-dimensional -body delta-Bose gas for all integers and establishing the assoc…
Stochastic motions of the two-dimensional many-body delta-Bose gas, II: Many- motions
Yu-Ting Chen
This paper is the second in a series devoted to constructing stochastic motions for the two-dimensional -body delta-Bose gas for all integers and establishing the asso…