Abstract
For every 3/4 ≤ β 1 we construct a finitely generated group so that the expected distance of the simple random walk from its starting point satisfies E|Xn| nbeta. In fact, the speed can be set precisely to equal any nice prescribed function up to a constant factor.
Original language | English |
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Pages (from-to) | 2567-2598 |
Number of pages | 32 |
Journal | International Mathematics Research Notices |
Volume | 2017 |
Issue number | 9 |
DOIs | |
State | Published - 1 May 2017 |
Bibliographical note
Publisher Copyright:© The Author(s) 2016. Published by Oxford University Press.