On the upper and lower exponential density functions
-
Rita Giuliano
and
Georges Grekos
Abstract
In the present paper we introduce the upper and lower exponential density functions of subsets A ⊆ ℕ*. We identify completely the form of the upper density and find many properties for the lower one. We provide examples and list some open problems.
The authors gratefully acknowledge the financial supports of the University Jean Monnet (Saint-Etienne), of the Italian Research Grant PRIN 2008 Probability and Finance and the French Project CAESAR ANR-12-BS01-0011 (responsible Prof. Alain Plagne).
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© 2017 Mathematical Institute Slovak Academy of Sciences
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Articles in the same Issue
- Cyclic and rotational latin hybrid triple systems
- Notes on mildly distributive semilattices
- On generalized completely distributive posets
- Properties of non-associative MV-algebras
- On the upper and lower exponential density functions
- Quadratic permutations, complete mappings and mutually orthogonal latin squares
- On F-groups with the central factor of order p4
- Comparison of some families of real functions in porosity terms
- Negative interest rates: why and how?
- Homoclinic and heteroclinic motions in hybrid systems with impacts
- Some fixed point theorems in Branciari metric spaces
- S-essential spectra and measure of noncompactness
- Unified approach to graphs and metric spaces
- On structural properties of porouscontinuous functions
- A class of topological spaces between the classes of regular and urysohn spaces
- On The betti numbers of oriented Grassmannians and independent semi-invariants of binary forms
- Generalized Baskakov type operators
