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Please note the new location for the Mathematical Physics Seminar.Ìý

In electrostatic terminology, an electrical field of a stationary point process is a vector field whose distributional divergence is equal to the counting measure of the point process minus the Lebesgue measure. In the talk we will give a simple answer to the following question: when does a planar stationary point process generate a stationary electrical field? If time permits, we will also discuss some properties of this stationary field, for instance, its covariance structure, and the size of fluctuations of line integrals.

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The talk is based on a joint work with Mikhail Sodin and Aron Wennman.