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Section: New Results

Polynomial ensembles and recurrence coefficients

Determinantal point processes can be of important use in applications as soon as one is interested in producing configurations of well spread points on an arbitrary space. A class of determinantal point processes on the real line that has been extensively studied recently are the so-called polynomial ensembles. A. Hardy gathered in [11] several results concerning these models in relation to the recurrent coefficients associated with the orthogonal polynomials hidden in the background.