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The q-Gelfand-Tsetlin graph, Gibbs measures and q-Toeplitz matrices
The q-Gelfand-Tsetlin graph Gibbs measures
2010/11/12
The problem of the description of finite factor representations of the infinite-dimensional unitary group, investigated by Voiculescu in 1976, is equivalent to the description of all totally positive...
Markov processes on the path space of the Gelfand-Tsetlin graph and on its boundary
Markov processes Gelfand-Tsetlin graph boundary
2010/12/3
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 proc...