Percolation Hamiltonians

Details Percolation Hamiltonians Percolation Hamiltonians

2010-02-26

arxiv.org/abs/1002.5000v3

Progress in Probability, vol. 64, 235 - 258 (Springer, Basel, 2011)

Physics

Mathematical Physics

v3: final version, typos corrected; v2: references and some comments added; to appear in "Boundaries and spectra of random wal

Scientific paper

There has been quite some activity and progress concerning spectral asymptotics of random operators that are defined on percolation subgraphs of different types of graphs. In this short survey we record some of these results and explain the necessary background coming from different areas in mathematics: graph theory, group theory, probability theory and random operators.

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