Timeline for Volume doubling implies that the degree is uniformly bounded above?
Current License: CC BY-SA 3.0
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Mar 18, 2017 at 7:35 | comment | added | Ori Gurel-Gurevich | The thing here is not using the stationary measure (your proof becomes easier if we simply use counting measure), but using the case $r=1$. I've updated my answer accordingly. | |
Mar 18, 2017 at 7:33 | history | edited | Ori Gurel-Gurevich | CC BY-SA 3.0 |
added 344 characters in body
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Mar 16, 2017 at 20:42 | comment | added | Mikael de la Salle | This graph is not volume doubling if, as in the question, one measures the volume of the ball as the number of edges (and not vertices) in the ball. | |
Mar 16, 2017 at 12:17 | history | answered | Ori Gurel-Gurevich | CC BY-SA 3.0 |