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math.AP2021★ 2 cited
Relative heat content asymptotics for sub-Riemannian manifolds
Andrei Agrachev, Luca Rizzi, Tommaso Rossi
The relative heat content associated with a subset of a sub-Riemannian manifold, is defined as the total amount of heat contained in at time , with uniform init…
math.AP2020★ 10 cited
Heat content asymptotics for sub-Riemannian manifolds
Luca Rizzi, Tommaso Rossi
We study the small-time asymptotics of the heat content of smooth non-characteristic domains of a general rank-varying sub-Riemannian structure, equipped with an arbitrary smooth m…