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arxiv: 0707.0185 · v3 · submitted 2007-07-02 · 🧮 math.DG · math.SP

Infimum of the exponential volume growth and the bottom of the essential spectrum of the Laplacian

classification 🧮 math.DG math.SP
keywords infimumalreadybottombrooksdeleteessentialexponentialgrowth
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The purpose of this paper is to point out that `supremum' in two inequalities of Brooks should be replaced with `infimum'. The results of this paper are already known by Professor Higuci. Hence, I want to delete this paper from this preprint server.

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