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Quasiperiodic sequence, finite differences, recursion

Consider a sequence $\{an\}$ consisting of fractional parts of the numbers $an$ for natural numbers $n$ where $a$ is an irrational number. Its $n$th value is in the interval $(x;y)$ for numbers $n = n …
Станислав Крымский's user avatar
2 votes
1 answer
106 views

Does the set of matrices with bounded recursive products form a fractal?

We are given three matrices $A,B,C$ which have determinant 1, are not unitary and that their size is the same. Consider the following process. On each step we take three words $W_1,W_2,W_3$ consisting …
Станислав Крымский's user avatar