activity
20172021
most citedCalculating box dimension with the method of types

2 citations · 2 across the 2 of their papers we have counts for

collaborators
Showing math.MGShow all

3 papers · 1 filter

math.MG2021★ 2 cited

Calculating box dimension with the method of types

István Kolossváry

This paper presents a general procedure based on using the method of types to calculate the box dimension of sets. The approach unifies and simplifies multiple box counting argumen…

math.MG2020

On the intermediate dimensions of Bedford-McMullen carpets

István Kolossváry

The intermediate dimensions of a set , elsewhere denoted by , interpolates between its Hausdorff and box dimensions using the parameter . Determining a preci…

math.MG2018

Triangular Gatzouras-Lalley-type planar carpets with overlaps

István Kolossváry, Károly Simon

We construct a family of planar self-affine carpets with overlaps using lower triangular matrices in a way that generalizes the original Gatzouras--Lalley carpets defined by diagon…