Publication in conference proceedings Q4
Homomorphism to R generated by abstract length functions: a dynamical construction
Gastão Henriques Bettencourt (Gastão Bettencourt); Sérgio Mendes (Mendes, S.);
NOMA’15 International Workshop on Nonlinear Maps and Applications
Year (definitive publication)
2015
Language
English
Country
United Kingdom
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Abstract
Erschler and Karlsson in [5] construct a homomorphism of a finitely generated group G to R using a random walk approach. Central to their construction were the word length$\ell$ and a well behaved measure $\mu$ on G. In this note we define a class of abstract length functions and prove that Erschler and Karlsson construction can also be applied to this class.
Acknowledgements
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Keywords
Abstract length function,Homomorphism,Random walk
  • Physical Sciences - Natural Sciences