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Borel automorphisms
with no finite invariant measure

Authors: S. Eigen, A. Hajian and B. Weiss
Journal: Proc. Amer. Math. Soc. 126 (1998), 3619-3623
MSC (1991): Primary 28D99
MathSciNet review: 1458869
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Abstract: An uncountable family of non-isomorphic Borel automorphisms which do not preserve any finite measure is presented.

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Additional Information

S. Eigen
Affiliation: Department of Mathematics, Northeastern University, Boston, Massachusetts 02115

A. Hajian

B. Weiss
Affiliation: Department of Mathematics, The Hebrew University of Jerusalem, Institute of Mathematics, Givat Ram 91904 Jerusalem, Israel

Keywords: Borel automorphisms, ergodic theory
Received by editor(s): January 15, 1997
Received by editor(s) in revised form: April 23, 1997
Communicated by: Mary Rees
Article copyright: © Copyright 1998 American Mathematical Society