Notes on Ergodic Theoryin Infinite Measure Spaces Victor Arzumanian
This article is concerned with ergodic theory fortransformations which preserve an infinite measure. In the firstpart we present an overview of the invertible case with a focuson weakly wandering sequences and their applications to num-ber theory as it has developed over the last fifty years. Thesecond part presents a very preliminary investigation into ex-tending weakly wandering sequences to the non-invertible case.This consists primarily of a few examples which illustrate thecomplexities which arise in the non-invertible case.
DOI: https://armjmath.sci.am/index.php/ajm/article/view/115 Armenian Journal of Mathematics, 7(2) 97-120
