Ergodic Theory: Nonsingular Transformations Page 1 Ergodic Theory: Nonsingular
Transformations Alexandre I. Danilenko1 and Cesar E. Silva2 1B.Verkin Institute for Low …

We show that if an infinite measure preserving system is well approximated on most of the
phase space by a system satisfying the local limit theorem, then the original system enjoys …

We obtain results on mixing for a large class of (not necessarily Markov) infinite measure
semiflows and flows. Erickson proved, amongst other things, a strong renewal theorem in …

We consider skew products over subshifts of finite type in which the fibers are copies of the
real line, and we study their mixing properties with respect to any infinite invariant measure …

We study the properties of'infinite-volume mixing'for two classes of intermittent maps:
expanding maps with an indifferent fixed point at 0 preserving an infinite, absolutely …

It is well-known that a strict analogue of the Birkhoff Ergodic Theorem in infinite ergodic
theory is trivial; it states that for any infinite-measure-preserving ergodic system, the Birkhoff …

In the context of 'infinite-volume mixing'we prove global-local mixing for the Boole map, aka
Boole transformation, which is the prototype of a non-uniformly expanding map with two …

We consider the sums TN=∑ n= 1 NF (S n) where S n is a random walk on Z d and F: Z d→
R is a global observable, that is, a bounded function which admits an average value when …

We prove that a large class of expanding maps of the unit interval with a $ C^ 2$-regular
indifferent point in 0 and full increasing branches are global-local mixing. This class includes …

We study global-local mixing for a family of accessible skew products with an exponentially
mixing base and non-compact fibers, preserving an infinite measure. For a dense set of …