Jan 6, 2003 · We develop the basic properties of effective strong dimensions and prove a number of results relating them to fundamental aspects of randomness, ...

We develop the basic properties of effective strong dimensions and prove a number of results relating them to fundamental aspects of randomness, Kolmogorov ...

We develop the basic properties of effective strong dimensions and prove a number of results relating them to fundamental aspects of randomness, Kolmogorov ...

We develop the basic properties of effective strong dimensions and prove a number of results relating them to fundamental aspects of randomness, Kolmogorov ...

We develop the basic properties of effective strong dimensions and prove a number of results relating them to fundamental aspects of randomness, Kolmogorov ...

This paper shows that packing dimension can also be characterized in terms of gales, and develops the basic properties of effective strong dimensions and ...

Work by several investigators has already used these effective dimensions to illuminate a variety of topics in algorithmic information theory and computational.

Both dimensions have the mathematical advantage of being defined from measures, and both have yielded extensive applications in fractal geometry and dynamical ...

After proving our gale characterization and developing the effective strong dimensions and some of their basic properties, we prove a number of results relating ...

Imposing various computability and complexity constraints on these gales produces a spectrum of effective versions of Hausdorff dimension. In this paper we show ...