2 papers
math.PR2007
Shannon-McMillan theorems for discrete random fields along curves and lower bounds for surface-order large deviations
Julia Brettschneider
The notion of a surface-order specific entropy h_c(P) of a two-dimensional discrete random field P along a curve c is introduced as the limit of rescaled entropies along lattice ap…
math.DS2007
On uniform convergence in ergodic theorems for a class of skew product transformations
Julia Brettschneider
Consider a class of skew product transformations consisting of an ergodic or a periodic transformation on a probability space (M, B, m) in the base and a semigroup of transformatio…