Surgery of quantum graphs

A. N. Bondarenko, Vasily A. Dedok · Proceedings. The 8th Russian-Korean International Symposium on Science and Technology, 2004. KORUS 2004. · 2005

In this paper we intend to present new results concerning the scattering problem on quantum graphs. We offer a new way for the computation of the scattering matrix of the graph using scattering matrices of subgraphs. This method provides us in getting the renormalization scheme for scattering matrices of n+1 and n-stage Sierpinski gaskets

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