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Author

Qing-Song Gu

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Preprint Aug 2026

Flow decomposition and stochastic completeness of weighted graphs

We give a new proof by flow decomposition of the known Grigor'yan type integral criterion for stochastic completeness of weighted graphs. The main ingredient is a finite-domain estimate relating the mass of a killed $1$-resolvent and the current reaching the boundary to relative capacities of intrinsic balls. This esti...

Qing-Song Gu, Lu Hao, Xue-Ping Huang et al. · 0 citations
Preprint Aug 2026

Flow Decomposition and Sharp Integral Fujita Criteria on Weighted Graphs

We study the Fujita phenomenon for semilinear heat inequalities generated by variable-speed Laplacians on infinite weighted graphs. Assuming that the graph carries a proper adapted path metric, we establish an integral volume-growth criterion forcing every nonnegative global classical supersolution on the open cylinder...

Qing-Song Gu, L. Hao, Xueping Huang et al. · 0 citations

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