Displaying similar documents to “Infinitesimal generators for a class of polynomial processes”

Quadratic harnesses from generalized beta integrals

Włodek Bryc (2011)

Banach Center Publications

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We use generalized beta integrals to construct examples of Markov processes with linear regressions, and quadratic second conditional moments.

On the extendability of quadratic polynomial mappings of the plane

Ewa Ligocka (2009)

Annales Polonici Mathematici

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We shall prove, using the result from our previous paper [Ann. Polon. Math. 88 (2006)], that for a quadratic polynomial mapping Q of ℝ² only the geometric shape of the critical set of Q determines whether the complexification of Q can be extended to an endomorphism of ℂℙ². At the end of the paper we describe some interesting classes of quadratic polynomial mappings of ℝ² and give some examples.