On the Billingsley dimension of Birkhoff average in the countable symbolic space

Author:

Attia Najmeddine,Selmi Bilel

Publisher

Cellule MathDoc/CEDRAM

Subject

General Mathematics

Reference29 articles.

1. [1] Barral, Julien; Mensi, Mounir Multifractal analysis of Birkhoff averages on ‘self-affine’ symbolic spaces, Nonlinearity (2008), pp. 2409-2425

2. [2] Barreira, Luis; Li, Jinjun; Valls, Claudia Full shifts and irregular sets, São Paulo J. Math. Sci., Volume 6 (2012) no. 2, pp. 135-143

3. [3] Billingsley, Patrick Ergodic theory and information, Wiley Series in Probability and Mathematical Statistics, John Wiley & Sons, 1965

4. [4] Bowen, Rufus Topological entropy for noncompact set, Trans. Am. Math. Soc., Volume 184 (1973), pp. 125-136

5. [5] Cajar, Helmut Billingsley Dimension in probability spaces, Lecture Notes in Mathematics, Volume 892, Springer, 1981

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