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Christian Rose

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Preprint Sep 2026

Gaussian upper bounds for averaged heat semigroups on graphs

Characterizations of pointwise Gaussian upper bounds on graphs with possibly unbounded geometry in terms of localized functional inequalities contain errors depending on the vertex degree. We introduce a new space-time averaged form of the heat semigroup in terms of time-averaged $\ell^{q/(q-1)}-\ell^q$-estimates and o...

Christian Rose · 0 citations

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