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A graph counterexample to davies' conjecture

2011/11/19 by Gady Kozma, Kozma, Gady
Mathematics · #FOS: Mathematics #Graph theory and applications #Mathematical Dynamics and Fractals #Point processes and geometric inequalities #Probability (math.PR) #math.PR

paper · pdf · doi:10.48550/arxiv.1111.4593

10 pages

arxiv created 2011/11/19 · openalex publication_date 2011/11/19 · arxiv updated 2011/11/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

There exists a graph with two vertices x and y such that the ratio of the heat kernels p(x,x;t)/p(y,y;t) does not converge as t goes to infinity.

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