Jin Sun

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20242026

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math.SP2026

The hot spots conjecture on Gaussian spaces

Bobo Hua, Jin Sun

We study the hot spots conjecture for domains in the Gaussian space $(R^{n}, (2 I ¨ )^{- n /2} e^{- ∣ x ∣^{2} /2} d x)$ for $n \geq 2$ . Given a bounded domain $I^c ◯$ with a piecewise smoot…

math.SP2025

Sharp Fundamental Gap Estimate on Convex Domains in Gaussian Spaces

Jin Sun, Kui Wang

We prove a sharp lower bound for the fundamental gap on convex domains in Gaussian spaces, the difference between the first two eigenvalues of the Ornstein-Uhlenbeck operator with…