EuDML | Browse

Page 1

Displaying 1 – 5 of 5

Quantization Dimension Estimate of Inhomogeneous Self-Similar Measures

Mrinal Kanti Roychowdhury (2013)

Bulletin of the Polish Academy of Sciences. Mathematics

We consider an inhomogeneous measure μ with the inhomogeneous part a self-similar measure ν, and show that for a given r ∈ (0,∞) the lower and the upper quantization dimensions of order r of μ are bounded below by the quantization dimension $D_{r} (ν)$ of ν and bounded above by a unique number $κ_{r} \in (0, \infty)$ , related to the temperature function of the thermodynamic formalism that arises in the multifractal analysis of μ.

Quelques considérations concernant le problème de l'aguille de Buffon dans l'espace euclidien En.

Marius I. Stoka (1983)

Elemente der Mathematik

Quelques questions de probabilités résolues géométriquement

E. Lemoine (1883)

Bulletin de la Société Mathématique de France

Quelques résultats de décomposabilité en algèbre linéaire et en algèbre quadratique aléatoires

Philippe Artzner (1975)

Séminaire de probabilités de Strasbourg

Quermass-interaction process with convex compact grains

Kateřina Helisová, Jakub Staněk (2016)

Applications of Mathematics

The paper concerns an extension of random disc Quermass-interaction process, i.e. the model of discs with mutual interactions, to the process of interacting objects of more general shapes. Based on the results for the random disc process and the process with polygonal grains, theoretical results for the generalized process are derived. Further, a simulation method, its advantages and the corresponding complications are described, and some examples are introduced. Finally, a short comparison to the...