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Siqi Liu

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Testing Thresholds for High-dimensional Sparse Random Geometric GraphsStructural Results 20232023-07-20
Main result: when p = c/n the random geometric graph Geo_d(n,p) becomes statistically indistinguishable from G(n,p) once d ≥ poly(log n), with total variation…
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Hypercontractivity Inequality on $\varepsilon$-product SpacesBeyond the Boolean Cube 20232023-06-26
Proves a (2,4)-hypercontractivity inequality for general ε-product spaces including spectral high‑dimensional expanders, with a bound that applies to degree‑d…
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