Ergodic transformations and sequences of integers

Springer Science and Business Media LLC - Tập 75 - Trang 119-128 - 1991
S. Eigen1, A. Hajian1, S. Kalikow1
1Mathematics Department, Northeastern University, Boston, USA

Tóm tắt

Using an ergodic transformation defined on an infinite measure space, we discuss complements in ℤ of the setA consisting of finite sums of odd powers of 2.

Tài liệu tham khảo

N. G. De Bruijn,On bases for sets of integers, Publ. Math. Debrecen1 (1950), 232–242. S. Eigen and A. Hajian,Sequences of integers and ergodic tranformations, Advances of Math.73 (1989), 256–262. S. Eigen, Y. Ito, and A. Hajian,Ergodic measure preserving transformations of finite type, Tokyo Journal of Math.11 (1988), 459–470. S. Eigen, A. Hajian and V. Prasad,Skyscraper template for infinte m.p. transformations, to appear. N. A. Friedman,Introduction to Ergodic Theory, Van Nostrand, New York, 1970. A. Hajian and S. Kakutani,An example of an e.m.p. transformation defined on an infinite measure space, Springer Lecture Notes in Math.160 (1970), 45–52. C.T. Long,Additive theorems for sets of integers, Pacific J. Math.23 (1967), 107–112.