[HN Gopher] Arnold's Cat (2018)
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Arnold's Cat (2018)
Author : bradly
Score : 22 points
Date : 2025-01-11 22:25 UTC (4 days ago)
(HTM) web link (gerdbreitenbach.de)
(TXT) w3m dump (gerdbreitenbach.de)
| JadeNB wrote:
| The page doesn't say why matrices need to have whole-number
| (really just integer) entries, but I'd suspect it's because bad
| approximations to non-integer rationals accumulate sufficiently
| to make the recurrence unrecognizable.
| pepinator wrote:
| It says that the underlying action is on the torus (R/Z)^2. If
| the entries of the matrix are not integers, do we have a well
| defined action on the torus? It seems to me that the answer is
| no because Z^2 would not be invariant by the action.
| JadeNB wrote:
| > It says that the underlying action is on the torus (R/Z)^2.
| If the entries of the matrix are not integers, do we have a
| well defined action on the torus? It seems to me that the
| answer is no because Z^2 would not be invariant by the
| action.
|
| Ah, good point.
| TaurenHunter wrote:
| I clicked the link wondering if it would be about this "Arnold
| the Cat" or perhaps related to Simon's Cat:
|
| https://www.publishersweekly.com/9780316638111
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(page generated 2025-01-15 23:00 UTC)