Cheng Mao

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20152026

most citedScaling limits for the critical Fortuin-Kasteleyn model on a random planar map I: cone times

21 citations · 129 across the 21 of their papers we have counts for

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Showing 2026 · math.PRShow all

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math.PR2026

Sharp detection thresholds for random geometric graphs with polynomial average degrees

Hang Du, Cheng Mao, Nike Sun +2

We study the random geometric graph formed by connecting $n$ independent uniform points on $S^{d - 1}$ whenever their inner product exceeds a threshold chosen to give edge de…

math.PR2026

Resolution of the Detection Threshold Conjecture for Random Geometric Graphs in the $d > n$ Regime

Hang Du, Cheng Mao, Nike Sun +2

A random geometric graph (RGG) is generated by first sampling latent points $x_{1}, \dots, x_{n}$ independently and uniformly from the unit sphere in $R^{d}$ , and then connecting…

Sharp detection thresholds for random geometric graphs with polynomial average degrees

Resolution of the Detection Threshold Conjecture for Random Geometric Graphs in the d>n Regime

Resolution of the Detection Threshold Conjecture for Random Geometric Graphs in the $d > n$ Regime