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Topological and algebraic genericity of divergence and universality

100%

Bayart F.

Studia Mathematica

2005

tom 167

nr 2

161-181

We give general theorems which assert that divergence and universality of certain limiting processes are generic properties. We also define the notion of algebraic genericity, and prove that these properties are algebraically generic as well. We show that universality can occur with Dirichlet series. Finally, we give a criterion for the set of common hypercyclic vectors of a family of operators to be algebraically generic.

The multifractal box dimensions of typical measures

100%

Bayart F.

Fundamenta Mathematicae

2012

tom 219

nr 2

145-162

We compute the typical (in the sense of Baire's category theorem) multifractal box dimensions of measures on a compact subset of $ℝ^d$. Our results are new even in the context of box dimensions of measures.

The product of two Dirichlet series

100%

Bayart F.

Acta Arithmetica

2004

tom 111

nr 2

141-152

Ograniczanie wyników

1 Acta Arithmetica

1 Fundamenta Mathematicae

1 Studia Mathematica

3 Bayart F.

1 2012

1 2005

1 2004

Wyniki wyszukiwania

Topological and algebraic genericity of divergence and universality

The multifractal box dimensions of typical measures

The product of two Dirichlet series