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math.PR2022★ 4 cited
The random Weierstrass zeta function II. Fluctuations of the electric flux through rectifiable curves
Mikhail Sodin, Aron Wennman, Oren Yakir
Consider a random planar point process whose law is invariant under planar isometries. We think of the process as a random distribution of point charges and consider the electric f…
math.PR2022★ 3 cited
The random Weierstrass zeta function I. Existence, uniqueness, fluctuations
Mikhail Sodin, Aron Wennman, Oren Yakir
We describe a construction of random meromorphic functions with prescribed simple poles with unit residues at a given stationary point process. We characterize those stationary pro…