Work

The Hausdorff dimension of recurrent sets in symbolic spaces

Year: 2000
Type: article
Abstract: Let (Σ,σ) be the one-sided shift space on m symbols. For any x = ( x i ) i ⩾1 ∊Σ and positive integer n , define We prove that for each pair of numbers α,β∊[0, ∞ ] with α⩽β, the following recurrent set has Hausdorff dimension one.
Source: Nonlinearity
Language: English
Open Access status: bronze
OpenAlex ID: W2076790273
FWCI: 3.234
Cites: 2
Cited by: 41
Related to: 10