Osamu Ogurisu
Supersymmetric analysis of the spectral theory on infinite graphs
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ABSTRACT.  We present a new approach to the spectral theory on infinite graphs. 
We first show that Laplacians on infinite graphs can be treated in a 
framework of operator theory with supersymmetry. 
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Using this supersymmetric structure, we rederive in a simple way 
known results as in Ref.~[T.\ Shirai, Trans.\ Amer.\ Math.\ Soc., 
\textbf{32} (1999), 115--132] and to obtain new results.