A graph counterexample to Davies’ conjecture

  • Gady Kozma

    Weizmann Institute of Science, Rehovot, Israel

Abstract

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

Cite this article

Gady Kozma, A graph counterexample to Davies’ conjecture. Rev. Mat. Iberoam. 30 (2014), no. 1, pp. 1–12

DOI 10.4171/RMI/766