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math.PR2024
Moment-based approach for two erratic KPZ scaling limits
Shalin Parekh
A recent paper of Tsai shows how the first few moments of a stochastic flow in the space of measures can completely determine its law. Here we give another proof of this result for…
math.PR2024
Hierarchy of KPZ limits arising from directed random walk models in random media
Shalin Parekh
We consider a generalized model of random walk in dynamical random environment, and we show that the multiplicative-noise stochastic heat equation (SHE) describes the fluctuations…