04-286 Hans-Otto Georgii, Hyun Jae Yoo

Conditional Intensity and Gibbsianness of Determinantal Point Processes (77K, LaTeX 2e) Sep 14, 04

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Abstract. The Papangelou intensities of determinantal (or fermion) point processes are investigated. These exhibit a monotonicity property expressing the repulsive nature of the interaction, and satisfy a bound implying stochastic domination by a Poisson point process. We also show that determinantal point processes satisfy the so-called condition $(\Sigma_{\lambda})$ which is a general form of Gibbsianness. Under a continuity assumption, the Gibbsian conditional probabilities can be identified explicitly.

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