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most citedVariational and Semigroup Methods for Waves and Diffusion in Networks

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math.AP2026

Benjamini-Schramm limit of the heat semigroup on quantum graphs

Mihály Kovács, Eszter Sikolya

We study the behaviour of heat semigroups on quantum graphs under Benjamini-Schramm convergence. For quantum graphs with uniformly bounded geometry, equipped with continuity and Ki…