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In a recent work, Biermet. al. (2011) introduced fractional Poisson
fields, which can be interpreted as the number of balls falling down on
each point of Rd, when the centers and the radii of the balls are thrown
at random following a Poisson point process in Rd x R+ with an appropriate
intensity measure. In this talk, we shall analyze the ergodic properties
of these fields by extending the work of Emmanuel Roy (2007) to the
multidimensional case. (This talk is based on a joint work with Hermine
Biermand Anne Estrade.)
Note: Special care will be taken to make this talk accessible to the
students with knowledge of basic measure theory.
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