Schur dynamics of the Schur processes
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We construct discrete time Markov chains that preserve the class of Schur processes on partitions and signatures. One application is a simple exact sampling algorithm for qvolume-distributed skew plane partitions with an arbitrary back wall. Another application is a construction of Markov chains on infinite Gelfand–Tsetlin schemes that represent deterministic flows on the space of extreme characters of the infinite-dimensional unitary group.
DepartmentMassachusetts Institute of Technology. Department of Mathematics
Advances in Mathematics
Borodin, Alexei. “Schur Dynamics of the Schur Processes.” Advances in Mathematics 228, no. 4 (November 2011): 2268–2291.
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