2026 Kenneth Falconer: Mathematics Researcher – H-Index, Publications & Awards

Discipline name	D-Index	World Ranking	Current World Ranking	National Ranking	Current National Ranking	Publications	Citations
Mathematics	41	1837	1603	127	110	200	26137

Discipline name

D-Index

World Ranking

Current World Ranking

National Ranking

Current National Ranking

Publications

Citations

Mathematics

1837

1603

127

110

200

26137

Research.com Recognitions

1998 - Fellow of the Royal Society of Edinburgh

Overview

Kenneth Falconer is affiliated with the University of St Andrews in the United Kingdom. Their research primarily spans the fields of Mathematics and Computer Science, with significant contributions in various subfields including Mathematical Physics, Geometry and Topology, Computational Theory and Mathematics, Computer Vision and Pattern Recognition, and Discrete Mathematics and Combinatorics.

The scientist's work covers a broad range of topics, such as:

Mathematical Dynamics and Fractals
Advanced Topology and Set Theory
Limits and Structures in Graph Theory
Topological and Geometric Data Analysis
Digital Image Processing Techniques
Stochastic processes and statistical mechanics
Theoretical and Computational Physics

Kenneth Falconer has published in multiple research venues, frequently contributing to:

arXiv (Cornell University)
Journal of Fractal Geometry Mathematics of Fractals and Related Topics
Proceedings of the American Mathematical Society
Monatshefte für Mathematik
St Andrews Research Repository (St Andrews Research Repository)

Recent publications include:

"The fractal structure of elliptical polynomial spirals," 2022, Monatshefte für Mathematik
"Minkowski dimension for measures," 2022, Proceedings of the American Mathematical Society
"Intersections of thick compact sets in ℝd," 2022, St Andrews Research Repository (St Andrews Research Repository)
"Intermediate dimension of images of sequences under fractional Brownian motion," 2021, arXiv (Cornell University)
"-spectra of measures on planar non-conformal attractors," 2020, Ergodic Theory and Dynamical Systems

Collaborations form an integral part of their work, with frequent co-authors including:

Jonathan M. Fraser
Alexia Yavicoli
Antti Käenmäki
Stuart A. Burrell
Lawrence D. Lee

Kenneth Falconer was awarded the title of Fellow of the Royal Society of Edinburgh in 1998.

Best Publications

Fractal Geometry: Mathematical Foundations and Applications

Kenneth J. Falconer

13382
Citations
The geometry of fractal sets

K. J. Falconer

3607
Citations
Techniques in fractal geometry

K. J. Falconer

2265
Citations
Unsolved problems in geometry

Hallard T. Croft;Kenneth J. Falconer;Richard K. Guy

713
Citations
The Hausdorff dimension of self-affine fractals

K. J. Falconer

498
Citations
ANALYSIS ON FRACTALS (Cambridge Tracts in Mathematics 143) By JUN KIGAMI: 226 pp., £35.00, ISBN 0-521-79321-1 (Cambridge University Press, 2001). LECTURES ON ANALYSIS ON METRIC SPACES (Universitext) By JUHA HEINONEN: 140 pp., £27.00, ISBN 0-387-95104-0 (Springer, New York, 2001).

Kenneth J. Falconer

318
Citations
On the Hausdorff dimensions of distance sets

K. J. Falconer

257
Citations
The multifractal spectrum of statistically self-similar measures

K. J. Falconer;K. J. Falconer

248
Citations
Dimensions and measures of quasi self-similar sets

K. J. Falconer

188
Citations
On the lipschitz equivalence of Cantor sets

K. J. Falconer;D. T. Marsh

143
Citations
The dimension of self-affine fractals II

K. J. Falconer

138
Citations
On the Minkowski measurability of fractals

K. J. Falconer

126
Citations
The Local Structure of Random Processes

Kenneth J. Falconer

123
Citations
Packing dimensions of projections and dimension profiles

K. J. Falconer;J. D. Howroyd

110
Citations
A subadditive thermodynamic formalism for mixing repellers

K J Falconer

108
Citations
Bounded distortion and dimension for non-conformal repellers

K. J. Falconer

103
Citations
Tangent Fields and the Local Structure of Random Fields

Kenneth J. Falconer

102
Citations
Fractals: A Very Short Introduction

Kenneth Falconer

94
Citations
Sets with Large Intersection Properties

K. J. Falconer

93
Citations
Hausdorff dimension and the exceptional set of projections

K. J. Falconer

82
Citations
GEOMETRY OF SETS AND MEASURES IN EUCLIDEAN SPACES FRACTALS AND RECTIFIABILITY

K. Falconer

29
Citations

Frequent Co-Authors

Pertti Mattila University of Helsinki

Geoffrey Grimmett University of Cambridge

Yimin Xiao Michigan State University

External Links

Wikipedia of Kenneth Falconer Personal website of Kenneth Falconer Google Scholar page

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