Displaying similar documents to “Ultrametric spaces bi-Lipschitz embeddable in n

On strong uniform distribution, II. The infinite-dimensional case

Y. Lacroix (1998)

Acta Arithmetica

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We construct infinite-dimensional chains that are L¹ good for almost sure convergence, which settles a question raised in this journal [N]. We give some conditions for a coprime generated chain to be bad for L² or L , using the entropy method. It follows that such a chain with positive lower density is bad for L . There also exist such bad chains with zero density.