Divergence and quasi-isometry classes of random Gromov’s monsters
نویسندگان
چکیده
Abstract We show that Gromov’s monsters arising from i.i.d. random labellings of expanders (that we call monsters) have linear divergence along a subsequence, so in particular they do not contain Morse quasigeodesics, and are quasi-isometric to graphical small cancellation expanders. Moreover, by further studying the function, there uncountably many quasi-isometry classes monsters.
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ژورنال
عنوان ژورنال: Mathematical proceedings of the Cambridge Philosophical Society
سال: 2021
ISSN: ['0305-0041', '1469-8064']
DOI: https://doi.org/10.1017/s0305004120000201