On Weierstrass-like functions and random recurrent sets

1989 ◽  
Vol 106 (2) ◽  
pp. 325-342 ◽  
Author(s):  
Tim Bedford

AbstractA construction of Weierstrass-like functions using recurrent sets is described, and the Hausdorff dimensions of the graphs computed. An important part of the proof is the notion of a globally random recurrent set. The Hausdorff dimension of a class of such sets is calculated using techniques of random matrix products.

Nonlinearity ◽  
2019 ◽  
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Author(s):  
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2020 ◽  
Vol 48 (3) ◽  
pp. 1372-1410
Author(s):  
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Vol 46 (1-2) ◽  
pp. 12-32 ◽  
Author(s):  
H. Furstenberg ◽  
Y. Kifer

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