Statistics Seminars: Spectral properties of birth-death polynomials
10 November 2014 14:00 in CM221
Birth-death polynomials are orthogonal polynomials satisfying a recurrence relation of a particular type, and are instrumental in the analysis of birth-death processes. We will discuss how certain properties of the spectrum (the support of the orthogonalizing measure) may be obtained from the parameters in the recurrence relation and how these can help establish properties of the corresponding birth-death process.
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