Patterson-Sullivan construction for point processes and reconstruction of harmonic functions
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Every harmonic function in a given Banach space is nearly certainly recovered using the Patterson-Sullivan procedure from its values on the zero set of a Gaussian analytic function on the disk.
The reasoning is based on the linear statistics of the point process in question having a sluggish rise of variance.
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Every harmonic function in a given Banach space is nearly certainly recovered using the Patterson-Sullivan procedure from its values on the zero set of a Gaussian analytic function on the disk.
The reasoning is based on the linear statistics of the point process in question having a sluggish rise of variance.
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