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math.PR2019
Limit Shape of Subpartition Maximizing Partitions
Ivan Corwin, Shalin Parekh
This is an expository note answering a question posed to us by Richard Stanley, in which we prove a limit shape theorem for partitions of which maximize the number of subpartit…
math.PR2019★ 4 cited
Positive random walks and an identity for half-space SPDEs
Shalin Parekh
The purpose of this article is threefold. First, we introduce a new type of boundary condition for the multiplicative-noise stochastic heat equation on the half space. This is esse…