On the existence of invariant, absolutely continuous measures Academic Article uri icon

abstract

  • Let (, , ) be a measure space with normalized measure, f: a nonsingular transformation. We prove: there exists an f-invariant normalized measure which is absolutely continuous with respect to if and only if there exist >0, and , 0<<1, such that (E)< implies (f-k(E))< for all k0. 1981 Springer-Verlag.

published proceedings

  • Communications in Mathematical Physics

author list (cited authors)

  • Straube, E.

citation count

  • 11

complete list of authors

  • Straube, Emil

publication date

  • September 1981