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math.PR2025
A few observations around Gaussian domination and continuous symmetry breaking for spin O(N) model
Xiao Han
We investigate the notion of Gaussian domination for the spin model on general finite graphs. We begin by proving a general inequality for spin correlations under the assump…
math.GT2025
Nearly geodesic surfaces are filling
Xiaolong Hans Han
Let be a closed hyperbolic -manifold. A homotopy class of surfaces in is filling if any representative cuts into components contractible in . We prove that…