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math.PR2020
On the Spectrum of Dense Random Geometric Graphs
Kartick Adhikari, Robert J. Adler, Omer Bobrowski +1
In this paper we study the spectrum of the random geometric graph , in a regime where the graph is dense and highly connected. In the \erdren random graph it is we…
math.PR2020
Fluctuation and Entropy in Spectrally Constrained random fields
Kartick Adhikari, Subhroshekhar Ghosh, Joel L. Lebowitz
We investigate the statistical properties of translation invariant random fields (including point processes) on Euclidean spaces (or lattices) under constraints on their spectrum o…