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arxiv: 1111.4593 · v1 · pith:EHYIENCQnew · submitted 2011-11-19 · 🧮 math.PR

A graph counterexample to davies' conjecture

classification 🧮 math.PR
keywords graphconjectureconvergecounterexampledaviesexistsgoesheat
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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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