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Fractional heat content asymptotics for Carnot groups

math.AP · 2026-01-07 · unverdicted · novelty 6.0

For C^2 non-characteristic domains in Carnot groups, (|Ω| - Q^(α)_Ω(t)) / μ_α(t) → |∂Ω|_H as t→0 for 1≤α≤2, with μ_α matching the Euclidean rate function.

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  • Fractional heat content asymptotics for Carnot groups math.AP · 2026-01-07 · unverdicted · none · ref 11

    For C^2 non-characteristic domains in Carnot groups, (|Ω| - Q^(α)_Ω(t)) / μ_α(t) → |∂Ω|_H as t→0 for 1≤α≤2, with μ_α matching the Euclidean rate function.