caa a22 4500 445391995 CHVBK 20180317143050.0 cr unu---uuuuu 170323e20110201xx s 000 0 eng 10.1007/s10955-011-0140-z doi (NATIONALLICENCE)springer-10.1007/s10955-011-0140-z Resistance Scaling and the Number of Spanning Trees inSelf-Similar Lattices [Elektronische Daten] [Elmar Teufl, Stephan Wagner] We consider the problem of enumerating spanning trees in self-similar lattices, motivated by recent work of Chang, Chen and Yang, who determined explicit formulae in the case of Sierpiński graphs and some of their generalizations. The aim of this note is to show that their results hold in more generality and that there is a strong relation between this enumeration problem and resistance scaling on self-similar lattices. Springer Science+Business Media, LLC, 2011 Self-similar lattices nationallicence Electrical networks nationallicence Resistance scaling nationallicence Spanning trees nationallicence Teufl Elmar Mathematisches Institut, Universität Tübingen, Auf der Morgenstelle 10, 72076, Tübingen, Germany aut Wagner Stephan Department of Mathematical Sciences, Stellenbosch University, Private Bag X1, 7602, Matieland, South Africa aut Journal of Statistical Physics Springer US; http://www.springer-ny.com 142/4(2011-02-01), 879-897 0022-4715 142:4<879 2011 142 10955 https://doi.org/10.1007/s10955-011-0140-z text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10955-011-0140-z text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Teufl Elmar Mathematisches Institut, Universität Tübingen, Auf der Morgenstelle 10, 72076, Tübingen, Germany aut NATIONALLICENCE 700 1- Wagner Stephan Department of Mathematical Sciences, Stellenbosch University, Private Bag X1, 7602, Matieland, South Africa aut NATIONALLICENCE 773 0- Journal of Statistical Physics Springer US; http://www.springer-ny.com 142/4(2011-02-01), 879-897 0022-4715 142:4<879 2011 142 10955 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer