Indecomposable continua in exponential dynamics-Hausdorff dimension
  We study some forward invariant sets appearing in the dynamics of the exponential family. We prove that the Hausdorff dimension of the sets under consideration is not larger than $1$. This allows us to prove, as a consequence, a result for some dynamically defined indecomposable continua which appear in the dynamics of the exponential family. We prove that the Hausdorff dimension of these continua is equal to one. 
Lukasz Pawelec, Anna Zdunik
math.DS