Introduces the symplectic Schur process on partitions, proves it yields a determinantal point process with explicit kernel, and computes asymptotics of the Berele insertion dynamics producing a novel Pearcey-like kernel.
The Cauchy identity for Sp(2n)
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The Symplectic Schur Process
Introduces the symplectic Schur process on partitions, proves it yields a determinantal point process with explicit kernel, and computes asymptotics of the Berele insertion dynamics producing a novel Pearcey-like kernel.