A local limit theorem for a sequence of interval transformations
1985 ◽
Vol 5
(2)
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pp. 185-201
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Keyword(s):
AbstractLet λ > 1 be a real eigenvalue of an automorphism of the two dimensional torus. We prove that for a dense, open subset of intervals the sequence where {x} denotes the fractional part of x and χ[a, b] the characteristic function of [a, b], satisfies the local limit theorem with respect to Lebesgue measure on [0, 1].
2002 ◽
Vol 73
(3)
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pp. 301-334
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Keyword(s):
1974 ◽
Vol 76
(1)
◽
pp. 307-312
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2006 ◽
Vol 50
(3)
◽
pp. 400-419
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Keyword(s):
1979 ◽
Vol 23
(3)
◽
pp. 521-528
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1989 ◽
Vol 33
(2)
◽
pp. 352-355
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