A dimension formula for endomorphisms - The Belykh family
- Schmeling, Jörg
2010 Mathematics Subject Classification
- 58F11 58F12
- Hausdorff dimension, invertibility
In  we considered a class of hyperbolic endomorphisms and asked the question whether there exists a physical motivated invariant measure (SRB-measure) and if so we gave a criterion when the map is invertible on a set of full measure. In this work we want to consider a particular example of this class - in fact a 3-parameter family of those - and proof that a.s. the criterion is fulfilled. From this it follows that the Young formulae for the Hausdorff dimension of the SRB-measure holds.
- Ergodic Theory Dyn. Sys. 18 (1998) no.5, pp. 1283--1309