Asymptotic Word Length of Random Walks on HNN Extensions
نویسندگان
چکیده
In this article we consider transient random walks on HNN extensions of finitely generated groups. We prove that the rate escape w.r.t. some generalised word length exists. Moreover, a central limit theorem with respect to is derived. Finally, show escape, which can be regarded as function in many parameters describe walk, behaves real-analytic terms probability measures constant support.
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ژورنال
عنوان ژورنال: ALEA-Latin American Journal of Probability and Mathematical Statistics
سال: 2021
ISSN: ['1980-0436']
DOI: https://doi.org/10.30757/alea.v18-22