On nonlinear iterated function systems with overlaps

We construct an example of an iterated function system on the line, consisting of linear fractional transformations, such that two of the maps share a fixed points, but the dimension of the attractor equals the conformal dimension, so that there is no “dimension drop”.

Authors

Boris Solomyak (ORCID: https://orcid.org/0000-0003-1571-0606)

Institutions

Bar-Ilan University (IL)

Publication Details

Journal: Journal of Fractal Geometry Mathematics of Fractals and Related Topics
Published: 2024-09-19
DOI: https://doi.org/10.4171/jfg/150
Citations: 1
Primary Topic: Mathematical Dynamics and Fractals
Type: article
Field-Weighted Citation Impact: 0.00

Controls

|||

ALL TIME

JAN

FEB

MAR

APR

MAY

JUN

JUL

AUG

SEP

OCT

article

On nonlinear iterated function systems with overlaps

Boris Solomyak

Sep 19, 2024

1 citations

Journal of Fractal Geometry Mathematics of Fractals and Related Topics

Mathematical Dynamics and Fractals

article

On nonlinear iterated function systems with overlaps

Boris Solomyak

September 19, 2024article en

1 citations

Abstract

Journal of Fractal Geometry Mathematics of Fractals and Related TopicsVol. 11(3)

Bar-Ilan University (IL)

Openalex Percentile: Top 73%

Mathematical Dynamics and Fractals

DOI Open Access PDF OpenAlex

AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

On nonlinear iterated function systems with overlaps — Boris Solomyak · Journal of Fractal Geometry Mathematics of Fractals and Related Topics (2024) | TGRS Research Map | TGRS