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101265 |
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|a Borodin, Alexei
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|a Massachusetts Institute of Technology. Department of Mathematics
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|a Borodin, Alexei
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|a Olshanski, Grigori
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|a Markov processes on the path space of the Gelfand-Tsetlin graph and on its boundary
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|b Elsevier,
|c 2016-02-25T01:46:25Z.
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|z Get fulltext
|u http://hdl.handle.net/1721.1/101265
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|a We construct a four-parameter family of Markov processes on infinite Gelfand-Tsetlin schemes that preserve the class of central (Gibbs) measures. Any process in the family induces a Feller Markov process on the infinite-dimensional boundary of the Gelfand-Tsetlin graph or, equivalently, the space of extreme characters of the infinite-dimensional unitary group U(∞). The process has a unique invariant distribution which arises as the decomposing measure in a natural problem of harmonic analysis on U(∞) posed in Olshanski (2003) [44]. As was shown in Borodin and Olshanski (2005) [11], this measure can also be described as a determinantal point process with a correlation kernel expressed through the Gauss hypergeometric function.
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|a National Science Foundation (U.S.) (Grant DMS-0707163)
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|a National Science Foundation (U.S.) (Grant DMS-1056390)
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|a en_US
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|a Article
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|t Journal of Functional Analysis
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