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Gastão Bettencourt & Mendes, S. (2015). Homomorphism to R generated by abstract length functions: a dynamical construction. In Elena Blokhina, Orla Feely (Ed.), NOMA’15 International Workshop on Nonlinear Maps and Applications. Dublin: IOP Publishing.
G. H. Bettencourt and S. M. Mendes, "Homomorphism to R generated by abstract length functions: a dynamical construction", in NOMA’15 Int. Workshop on Nonlinear Maps and Applications, Elena Blokhina, Orla Feely, Ed., Dublin, IOP Publishing, 2015, vol. 692
@inproceedings{bettencourt2015_1775764799368,
author = "Gastão Bettencourt and Mendes, S.",
title = "Homomorphism to R generated by abstract length functions: a dynamical construction",
booktitle = "NOMA’15 International Workshop on Nonlinear Maps and Applications",
year = "2015",
editor = "Elena Blokhina, Orla Feely",
volume = "692",
number = "",
series = "",
doi = "10.1088/1742-6596/692/1/012004",
publisher = "IOP Publishing",
address = "Dublin",
organization = "University College Dublin",
url = "https://noma2015.wordpress.com/category/noma2015/"
}
TY - CPAPER TI - Homomorphism to R generated by abstract length functions: a dynamical construction T2 - NOMA’15 International Workshop on Nonlinear Maps and Applications VL - 692 AU - Gastão Bettencourt AU - Mendes, S. PY - 2015 DO - 10.1088/1742-6596/692/1/012004 CY - Dublin UR - https://noma2015.wordpress.com/category/noma2015/ AB - 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. ER -
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