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math.AP2025
Li-Yau inequality and related properties on metric star graphs
Fabio Camilli
We prove a Li-Yau gradient estimate for positive solutions to the heat equation defined on a metric star graph $\mG$ given by the heat kernel formula. As consequence, we derive a H…
math.AP2025
Stationary Mean Field Games on networks with sticky transition conditions
Jules Berry, Fabio Camilli
We study stochastic Mean Field Games on networks with sticky transition conditions. In this setting, the diffusion process governing the agent's dynamics can spend finite time both…