Abstract
Let G be an infinite finitely generated group endowed with a measure of probability and a left-invariant metric. Let ∂ G be the horofunction compactification. Using a representation of the drift via horofunctions, we establish one situation in which we have rationality of the drift.
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Bettencourt, G. (2014). A Case Leading to Rationality of the Drift. In: Grácio, C., Fournier-Prunaret, D., Ueta, T., Nishio, Y. (eds) Nonlinear Maps and their Applications. Springer Proceedings in Mathematics & Statistics, vol 57. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-9161-3_5
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DOI: https://doi.org/10.1007/978-1-4614-9161-3_5
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