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Mathematics

D-Index
34
Citations
21569
World Ranking
2837
National Ranking
64

Overview

Michael F. Barnsley is affiliated with the Australian National University in Australia. Their research spans multiple fields including Mathematics, Computer Science, and Physics and Astronomy. Within these areas, Barnsley has contributed to subfields such as Mathematical Physics, Computational Theory and Mathematics, Materials Chemistry, Statistical and Nonlinear Physics, and Condensed Matter Physics.

The main topics of Barnsley's research cover Mathematical Dynamics and Fractals, Cellular Automata and Applications, Quasicrystal Structures and Properties, Advanced Mathematical Theories and Applications, Theoretical and Computational Physics, semigroups and automata theory, and Advanced Topology and Set Theory.

Barnsley has published a number of papers, notable among them are:

  • Histopolating fractal functions (2023), Journal of Computational and Applied Mathematics
  • Tilings from graph directed iterated function systems (2020), Geometriae Dedicata
  • Tiling Iterated Function Systems (2020), arXiv (Cornell University)

Other recent papers listed include works by Louisa F. Barnsley, a frequent coauthor:

  • Tiling iterated function systems (2024), Chaos Solitons & Fractals
  • Distortion Reversal in Aperiodic Tilings (2023), Discrete & Computational Geometry

Frequent coauthors of Michael F. Barnsley include Louisa F. Barnsley, Andrew Vince, Barry Simon, Christoph Bandt, and P. Viswanathan.

Barnsley has published in several venues, with multiple papers appearing in arXiv (Cornell University), as well as journals such as Journal of Computational and Applied Mathematics, Chaos Solitons & Fractals, Geometriae Dedicata, and Discrete & Computational Geometry.

In addition to journal and conference papers, Barnsley has contributed to book publications. One of their contributions includes a book published by Sciendo titled "Proceedings of the conference Contemporary Mathematics in Kielce 2020, February 24-27 2021."

Best Publications

  • Fractals Everywhere

    Michael F. Barnsley

  • The science of fractal images

    Michael F. Barnsley;Robert L. Devaney;Benoit B. Mandelbrot;Heinz-Otto Peitgen

  • Iterated function systems and the global construction of fractals

    M. F. Barnsley;S. Demko

  • Fractal Functions and Interpolation

    Michael F. Barnsley

  • Fractal image compression

    Michael F. Barnsley;Lyman P. Hurd

  • Solution of an inverse problem for fractals and other sets.

    M. F. Barnsley;V. Ervin;D. Hardin;J. Lancaster

  • Recurrent iterated function systems

    Michael F. Barnsley;John H. Elton;Douglas P. Hardin

  • The calculus of fractal interpolation functions

    M. F. Barnsley;A. N. Harrington

  • Invariant measures for Markov processes arising from iterated function systems with place-dependent probabilities

    M. F. Barnsley;S. G. Demko;J. H. Elton;J. S. Geronimo

  • Methods and apparatus for image compression by iterated function system

    Michael F. Barnsley;Alan D. Sloan

  • Hidden variable fractal interpolation functions

    M. F. Barnsley;J. Elton;D. Hardin;P. Massopust

  • Application Of Recurrent Iterated Function Systems To Images

    Michael F. Barnsley;Arnaud E. Jacquin

  • Harnessing chaos for image synthesis

    Michael F. Barnsley;Arnaud Jacquin;Francois Malassenet;Laurie Reuter

  • A new class of markov processes for image encoding

    Michael F. Barnsley;John H. Elton

  • Chaotic dynamics and fractals

    M. F. Barnsley;Stephen G. Demko

  • Fractal modelling of real world images

    Michael F. Barnsley

  • V -variable fractals: Fractals with partial self similarity ✩

    Michael F. Barnsley;John E. Hutchinson;Örjan Stenflo

  • The Chaos Game on a General Iterated Function System

    Michael F. Barnsley;Andrew Vince

  • Bilinear fractal interpolation and box dimension

    Michael F. Barnsley;Peter R. Massopust

  • A FRACTAL VALUED RANDOM ITERATION ALGORITHM AND FRACTAL HIERARCHY

    Michael Barnsley;John E. Hutchinson;Örjan Stenflo

Frequent Co-Authors

Jeffrey S. Geronimo
Jeffrey S. Geronimo Georgia Institute of Technology
Douglas P. Hardin
Douglas P. Hardin Vanderbilt University
Robert L. Devaney
Robert L. Devaney Boston University
Dietmar Saupe
Dietmar Saupe University of Konstanz
David Mumford
David Mumford Brown University
Heinz-Otto Peitgen
Heinz-Otto Peitgen University of Bremen
Benoit B. Mandelbrot
Benoit B. Mandelbrot Yale University
H. Mete Soner
H. Mete Soner Princeton University
George A. Baker
George A. Baker Los Alamos National Laboratory

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