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Barnsley, Michael Fielding

Author ID: barnsley.michael-fielding Recent zbMATH articles by "Barnsley, Michael Fielding"
Published as: Barnsley, Michael F.; Barnsley, M. F.; Barnsley, Michael; Barnsley, M.; Barnsley, Michael Fielding; Barnsley, M. F
External Links: MGP · Wikidata · GND · IdRef
all top 5

Co-Authors

24 single-authored
24 Vince, Andrew
14 Harrington, Andrew N.
13 Geronimo, Jeffrey S.
12 Robinson, Peter D.
7 Harding, Brendan
5 Barnsley, Louisa F.
5 Demko, Stephen G.
5 Elton, John H.
5 Leśniak, Krzysztof
4 Bandt, Christoph
4 Hardin, Douglas P.
4 Hegland, Markus
4 Hutchinson, John Edward
4 Massopust, Peter R.
4 Stenflo, Orjan
3 Devaney, Robert L.
3 Falconer, Kenneth J.
3 Herod, James V.
3 Igudesman, Konstantin B.
3 Passty, Gregory Bohdan
3 Rypka, Miroslav
3 Viswanathan, Puthan Veedu
3 Vrscay, Edward Robert
2 Cornille, Henri
2 Dager, L. D.
2 Frame, Michael Lee
2 Hurd, Lyman P.
2 La Torre, Davide
2 Mosher, D. L.
2 Mumford, David Bryant
2 Nachtergaele, Bruno
2 Saupe, Dietmar
2 Simon, Barry
2 Steiner, Wolfgang
2 Stewart, Ian Nicholas
2 Turchetti, Giorgio
2 Wilson, David C.
1 Alligood, Kathleen T.
1 Anson, Louisa F.
1 Atkins, Ross
1 Baker, George Allen jun.
1 Barrallo, Javier
1 Berger, Marc A.
1 Bessis, Daniel
1 Branner, Bodil
1 Brothers, Harlan J.
1 Cohen, Nathan
1 Connes, Alain
1 Coppens, Marc-Olivier
1 Deliu, Anca
1 Duffin, Richard James
1 Eglash, Ron
1 Epstein, Saul T.
1 Ervin, Vincent J.
1 Evans, David E.
1 Fisher, Yuval
1 Freiberg, Uta Renata
1 Furstenberg, Hillel
1 Gallavotti, Giovanni M.
1 Glashow, Sheldon Lee
1 Harrison, Jenny C.
1 Holmes, Philip J.
1 Howe, Roger Evans
1 Jaffard, Stéphane
1 Jaffe, Arthur Michael
1 Jørgensen, Palle E. T.
1 Jory, Virginia Vickery
1 Kannan, V.
1 Keen, Linda
1 Keesling, James Edgar
1 Kishimoto, Aki
1 Kumar, P. B. Vinod
1 Lesmoir-Gordon, Nigel
1 Lieb, Elliott Hershel
1 Mandelbrot, Benoit B.
1 McGuire, Michael
1 Mihalache-Ciurdea, Nicolae
1 Morley, Thomas D.
1 Moussa, Pierre
1 Narnhofer, Heide
1 Peitgen, Heinz-Otto
1 Raddatz, W.
1 Roychowdhury, Mrinal Kanti
1 Ruelle, David Pierre
1 Ruskai, Mary Beth
1 Sikora, Adam
1 Soner, Halil Mete
1 ter Elst, Antonius Frederik Maria
1 Voss, Richard F.
1 West, Bruce J.
1 Xie, Ruifeng
1 Yorke, James Alan
all top 5

Serials

8 Journal of Mathematical Physics
5 Notices of the American Mathematical Society
3 Journal of the Institute of Mathematics and its Applications
3 Journal of Approximation Theory
3 Transactions of the American Mathematical Society
3 Ergodic Theory and Dynamical Systems
3 Constructive Approximation
3 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
2 American Mathematical Monthly
2 Bulletin of the Australian Mathematical Society
2 Communications in Mathematical Physics
2 Journal of Mathematical Analysis and Applications
2 Journal of Statistical Physics
2 Discrete & Computational Geometry
2 Journal of Physics A: Mathematical and General
2 Proceedings of the National Academy of Sciences of the United States of America
2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
2 SIAM Journal on Mathematical Analysis
2 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
2 Fractals
2 SIAM Journal on Imaging Sciences
1 Advances in Applied Probability
1 Houston Journal of Mathematics
1 Letters in Mathematical Physics
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Rocky Mountain Journal of Mathematics
1 Chaos, Solitons and Fractals
1 Advances in Mathematics
1 Geometriae Dedicata
1 Journal of Computational and Applied Mathematics
1 Journal of Functional Analysis
1 Proceedings of the American Mathematical Society
1 SIAM Journal on Numerical Analysis
1 Forum Mathematicum
1 The Journal of Geometric Analysis
1 Annals of Physics
1 Linear Algebra and its Applications
1 Bulletin of the American Mathematical Society. New Series
1 Russian Mathematics
1 Topology Proceedings
1 Probability in the Engineering and Informational Sciences
1 Lobachevskii Journal of Mathematics
1 Journal of Nonlinear and Convex Analysis
1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
1 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A
1 Bulletin of the Institute of Mathematics. Academia Sinica. New Series
1 The IMA Volumes in Mathematics and its Applications
1 Notes and Reports in Mathematics in Science and Engineering
1 Proceedings of Symposia in Applied Mathematics
1 Discrete and Continuous Dynamical Systems. Series S
1 Symmetry
1 Bulletin of Mathematical Sciences
1 Springer Proceedings in Mathematics & Statistics
1 International Journal of Applied Nonlinear Science

Publications by Year

Citations contained in zbMATH Open

100 Publications have been cited 2,893 times in 1,637 Documents Cited by Year
Fractals everywhere. Zbl 0691.58001
Barnsley, Michael
747
1988
Fractal functions and interpolation. Zbl 0606.41005
Barnsley, Michael F.
327
1986
Iterated function systems and the global construction of fractals. Zbl 0588.28002
Barnsley, M. F.; Demko, Stephen
219
1985
Fractals everywhere. Revised with the assistance of Hawley Rising III. Answer key by Hawley Rising III. 2nd ed. Zbl 0784.58002
Barnsley, Michael F.
142
1993
The calculus of fractal interpolation functions. Zbl 0693.41008
Barnsley, Michael F.; Harrington, Andrew N.
130
1989
Recurrent iterated function systems. Zbl 0659.60045
Barnsley, Michael F.; Elton, John H.; Hardin, Douglas P.
116
1989
Hidden variable fractal interpolation functions. Zbl 0704.26009
Barnsley, M. F.; Elton, J.; Hardin, D.; Massopust, P.
107
1989
Invariant measures for Markov processes arising from iterated function systems with place-dependent probabilities. Zbl 0653.60057
Barnsley, M. F; Demko, S. G.; Elton, J. H.; Geronimo, J. S.
92
1988
Superfractals. Zbl 1123.28007
Barnsley, Michael Fielding
70
2006
Solution of an inverse problem for fractals and other sets. Zbl 0613.28008
Barnsley, M. F.; Ervin, V.; Hardin, D.; Lancaster, J.
52
1986
Bilinear fractal interpolation and box dimension. Zbl 1315.28003
Barnsley, Michael F.; Massopust, Peter R.
47
2015
A new class of Markov processes for image encoding. Zbl 0643.60050
Barnsley, Michael F.; Elton, John H.
47
1988
Fractal image compression. Illustrations by Louisa F. Anson. Zbl 0796.68186
Barnsley, Michael F.; Hurd, Lyman P.
44
1993
\(V\)-variable fractals: Fractals with partial self similarity. Zbl 1169.28006
Barnsley, Michael F.; Hutchinson, John E.; Stenflo, Örjan
40
2008
The science of fractal images. With contributions by Yuval Fisher and Michael McGuire. Ed. by Heinz-Otto Peitgen and Dietmar Saupe. (Based on notes for the course fractals - introduction, basics and pespectives given as part of the SIG-GRAPH ’87, Anaheim, Calif. course program). Zbl 0683.58003
Barnsley, Michael F.; Devaney, Robert L.; Mandelbrot, Benoit B.; Peitgen, Heinz-Otto; Saupe, Dietmar; Voss, Richard
37
1988
Orthogonal polynomials associated with invariant measures on Julia sets. Zbl 0509.30023
Barnsley, M. F.; Geronimo, J. S.; Harrington, A. N.
34
1982
The chaos game on a general iterated function system. Zbl 1221.37079
Barnsley, Michael F.; Vince, Andrew
32
2011
A fractal valued random iteration algorithm and fractal hierarchy. Zbl 1304.28004
Barnsley, Michael; Hutchinson, John; Stenflo, Örjan
31
2005
Developments in fractal geometry. Zbl 1275.28006
Barnsley, Michael; Vince, Andrew
31
2013
The Conley attractors of an iterated function system. Zbl 1417.37080
Barnsley, Michael F.; Vince, Andrew
22
2013
Infinite-dimensional Jacobi matrices associated with Julia sets. Zbl 0535.30025
Barnsley, M. F.; Geronimo, J. S.; Harrington, A. N.
21
1983
Fractal image compression. Zbl 1114.68568
Barnsley, M.; Barnsley, L.
20
1997
On the invariant sets of a family of quadratic maps. Zbl 0535.30024
Barnsley, M. F.; Geronimo, J. S.; Harrington, A. N.
18
1983
The chaos game on a general iterated function system from a topological point of view. Zbl 1304.28003
Barnsley, Michael F.; Leśniak, Krzysztof
18
2014
Bivariational bounds. Zbl 0295.49022
Barnsley, M. F.; Robinson, P. D.
17
1974
Chaos game for IFSs on topological spaces. Zbl 1341.37013
Barnsley, Michael F.; Leśniak, Krzysztof; Rypka, Miroslav
17
2016
A characterization of hyperbolic affine iterated function systems. Zbl 1196.28011
Atkins, Ross; Barnsley, Michael F.; Vince, Andrew; Wilson, David C.
16
2010
Fractal continuation. Zbl 1279.28013
Barnsley, Michael F.; Vince, Andrew
16
2013
Some recent progress concerning topology of fractals. Zbl 1322.54002
Barnsley, Michael F.; Wilson, David C.; Leśniak, Krzysztof
15
2014
\(V\)-variable fractals: dimension results. Zbl 1244.28008
Barnsley, Michael; Hutchinson, John E.; Stenflo, Örjan
15
2012
Real projective iterated function systems. Zbl 1256.28002
Barnsley, Michael F.; Vince, Andrew
15
2012
Fractal image compression. Zbl 1044.94501
Barnsley, Michael F.
14
1996
Geometry, electrostatic measure and orthogonal polynomials on Julia sets for polynomials. Zbl 0566.41033
Barnsley, M. F.; Geronimo, J. S.; Harrington, A. N.
14
1983
Almost periodic Jacobi matrices associated with Julia sets for polynomials. Zbl 0574.58016
Barnsley, M. F.; Geronimo, J. S.; Harrington, A. N.
14
1985
Transformations between self-referential sets. Zbl 1229.28009
Barnsley, Michael F.
13
2009
Numerics and fractals. Zbl 1305.28015
Barnsley, Michael F.; Hegland, Markus; Massopust, Peter
13
2014
Fractal tilings from iterated function systems. Zbl 1336.28006
Barnsley, Michael; Vince, Andrew
12
2014
How to transform and filter images using iterated function systems. Zbl 1246.37024
Barnsley, Michael F.; Harding, Brendan; Igudesman, Konstantin
12
2011
Erratum: Invariant measures for Markov processes arising from iterated function systems with place-dependent probabilities. Zbl 0715.60086
Barnsley, M. F.; Demko, S. G.; Elton, J. H.; Geronimo, J. S.
11
1989
On the continuity of the Hutchinson operator. Zbl 1371.54130
Barnsley, Michael F.; Leśniak, Krzysztof
11
2015
The bounding properties of the multipoint Padé approximant to a series of Stieltjes on the real line. Zbl 0279.41013
Barnsley, Michael
10
1973
Old wine in fractal bottles. I: Orthogonal expansions on self-referential spaces via fractal transformations. Zbl 1372.28006
Bandt, Christoph; Barnsley, Michael; Hegland, Markus; Vince, Andrew
10
2016
The Diophantine moment problem and the analytic structure in the activity of the ferromagnetic Ising model. Zbl 0454.44006
Barnsley, M.; Bessis, D.; Moussa, P.
10
1979
The entropy of a special overlapping dynamical system. Zbl 1290.37017
Barnsley, Michael; Harding, Brendan; Vince, Andrew
9
2014
Moments of balanced measures on Julia sets. Zbl 0512.30014
Barnsley, M. F.; Harrington, A. N.
9
1984
Measure-valued images, associated fractal transforms, and the affine self-similarity of images. Zbl 1175.94022
La Torre, D.; Vrscay, E. R.; Ebrahimi, M.; Barnsley, M. F.
9
2009
Correction terms for Padé approximants. Zbl 0298.41007
Barnsley, M. F.
8
1975
Theory and applications of fractal tops. Zbl 1192.37010
Barnsley, Michael
8
2005
Fractal homeomorphism for bi-affine iterated function systems. Zbl 1291.28007
Barnsley, Michael; Vince, Andrew
7
2013
General solution of a Boltzmann equation, and the formation of Maxwellian tails. Zbl 0488.76081
Barnsley, M.; Cornille, H.
7
1981
Self-similar polygonal tiling. Zbl 1391.52026
Barnsley, Michael; Vince, Andrew
7
2017
The eigenvalue problem for linear and affine iterated function systems. Zbl 1229.15008
Barnsley, Michael; Vince, Andrew
7
2011
New results on the nonlinear Boltzmann equation. Zbl 0432.76062
Barnsley, Michael F.; Turchetti, Giorgio
7
1980
On a class of solutions of the Krook-Tjon-Wu model of the Boltzmann equation. Zbl 0443.76066
Barnsley, M.; Cornille, H.
7
1980
Condensed Julia sets, with an application to a fractal lattice model Hamiltonian. Zbl 0565.30018
Barnsley, M. F.; Geronimo, J. S.; Harrington, A. N.
6
1985
Approximation of rough functions. Zbl 1350.26003
Barnsley, M. F.; Harding, B.; Vince, A.; Viswanathan, P.
6
2016
Pointwise bivariational bounds on solutions of Fredholm integral equations. Zbl 0395.65066
Robinson, Peter D.; Barnsley, Michael F.
6
1979
Bivariational bounds for non-linear problems. Zbl 0383.49035
Barnsley, M. F.; Robinson, P. D.
5
1977
Some tree-like Julia sets and Padé approximants. Zbl 0532.41023
Barnsley, M. F.; Geronimo, J. S.; Harrington, A. N.
5
1983
Geometrical and electrical properties of some Julia sets. Zbl 0548.30021
Barnsley, M. F.; Geronimo, J. S.; Harrington, A. N.
5
1984
Mixing Markov chains and their images. Zbl 1134.68576
Barnsley, Michael F.; Berger, Marc A.; Soner, H. Meté
5
1988
Basic topological structure of fast basins. Zbl 1432.37054
Barnsley, Michael F.; Leśniak, Krzysztof; Rypka, Miroslav
5
2018
The Tjon-Wu equation in Banach space settings. Zbl 0471.34046
Barnsley, M. F.; Herod, J. V.; Jory, V. V.; Passty, G. B.
5
1981
Fast basins and branched fractal manifolds of attractors of iterated function systems. Zbl 1359.37037
Barnsley, Michael F.; Vince, Andrew
5
2015
Dual variational principles and Padé-type approximants. Zbl 0286.65035
Barnsley, M. F.; Robinson, P. D.
4
1974
Bivariational bounds associated with non-self-adjoint linear operators. Zbl 0344.49032
Barnsley, Michael F.; Robinson, Peter D.
4
1976
Iterated function systems for lossless data compression. Zbl 1030.94004
Barnsley, Michael F.
4
2002
Chaos and fractals. The mathematics behind the computer graphics. (Lectures delivered in the AMS short course on August 6-7, 1988, given in conjunction with the AMS centennial meeting in Procidence, RI). Zbl 0677.58004
4
1989
Chaotic dynamics and fractals. (Proceedings of a Conference on Chaotic Dynamics, Georgia Institute of Technology, Atlanta, Georgia, March 25-29, 1985). Zbl 0593.00013
4
1986
Rational approximation of fractals. Zbl 0571.41010
Barnsley, Michael F.; Demko, Stephen G.
4
1984
A study of Boltzmann energy equations. Zbl 0591.76134
Barnsley, Michael F.; Turchetti, Giorgio
4
1985
Critical itineraries of maps with constant slope and one discontinuity. Zbl 1376.37031
Barnsley, Michael; Steiner, Wolfgang; Vince, Andrew
4
2014
Symmetric itinerary sets. Zbl 1417.37141
Barnsley, Michael F.; Mihalache, Nicolae
4
2019
Topological contractive systems. Zbl 1253.37012
Barnsley, M.; Igudesman, K.
4
2011
Lecture notes on iterated function systems. Zbl 0752.58013
Barnsley, Michael F.
3
1989
Bivariational bounds in a complex Hilbert space, and correction terms for Padé approximants. Zbl 0322.41011
Barnsley, M. F.; Baker, George A. jun.
3
1976
Geometry and combinatorics of Julia sets of real quadratic maps. Zbl 0588.58054
Barnsley, M. F.; Geronimo, J. S.; Harrington, A. N.
3
1984
Solutions for a model Boltzmann equation by monotonicity methods. Zbl 0529.45007
Barnsley, M. F.; Herod, J. V.; Mosher, D. L.; Passty, G. B.
3
1983
A variational approach to the theory of multipoint Padé approximants. Zbl 0279.41012
Epstein, Saul T.; Barnsley, Michael F.
2
1973
Making chaotic dynamical systems to order. Zbl 0611.58039
Barnsley, Michael F.
2
1986
Iterated networks and the spectra of renormalizable electromechanical systems. Zbl 0624.58038
Barnsley, M. F.; Morley, T. D.; Vrscay, E. R.
2
1985
Analysis of Boltzmann equations in Hilbert space by means of a non-linear eigenvalue property. Zbl 0494.35076
Barnsley, M. F.; Herod, J. V.; Mosher, D. L.; Passty, G. B.
2
1981
Self-similar tilings of fractal blow-ups. Zbl 1427.52014
Barnsley, M. F.; Vince, A.
2
2019
The life and survival of mathematical ideas. Zbl 1189.00011
Barnsley, Michael F.
2
2010
Three-dimensional fractal homeomorphisms. Zbl 1331.28015
Barnsley, Michael F.; Harding, Brendan
2
2015
Tilings from graph directed iterated function systems. Zbl 1467.28006
Barnsley, Michael; Vince, Andrew
2
2021
Measure preserving fractal homeomorphisms. Zbl 1317.28009
Barnsley, Michael F.; Harding, Brendan; Rypka, Miroslav
2
2014
Overlapping iterated function systems on a segment. Zbl 1338.37022
Barnsley, Michael; Igudesman, K. B.
2
2012
Fractals, wavelets, and their applications. Contributions from the international conference and workshop on fractals and wavelets, Kerala, India, November 9–12, 2013. Zbl 1300.28001
1
2014
Padé-approximant bounds and approximate solutions for Kirkwood-Riseman integral equations. Zbl 0286.65063
Barnsley, M. F.; Robinson, P. D.
1
1974
Padé approximant bounds for the difference of two series of Stieltjes. Zbl 0332.41014
Barnsley, M. F.
1
1976
Rational approximant bounds for a class of two-variable Stieltjes functions. Zbl 0375.41006
Barnsley, M. F.; Robinson, P. D.
1
1978
Glimpses of Benoît B. Mandelbrot (1924–2010). Zbl 1284.01047
Stewart, Ian; Mumford, David; Falconer, Kenneth; Eglash, Ron; Brothers, Harlan; Lesmoir-Gordon, Nigel; Barrallo, Javier; Berry, Michael; Frame, Michael
1
2012
The influence of Benoît B. Mandelbrot on mathematics. Zbl 1284.01048
Stewart, Ian; Mumford, David; Howe, Roger; Furstenberg, Hillel; Falconer, Kenneth; West, Bruce J.; Coppens, Marc-Olivier; Cohen, Nathan; Jaffard, Stéphane; Berry, Michael; Frame, Michael
1
2012
Fractals in multimedia. Based on a minisymposium held as part of the IMA annual program on mathematics in multimedia, Minneapolis, MN, USA, January 2001. Zbl 0996.00032
Barnsley, Michael F.; Saupe, Dietmar; Vrscay, Edward R.
1
2002
Stationary stochastic processes and fractal data compression. Zbl 0899.60073
Barnsley, Michael F.; Deliu, Anca; Xie, Ruifeng
1
1997
Bounds for the rth characteristic frequency of a beaded string or of an electrical filter. Zbl 0435.15009
Barnsley, Michael F.; Duffin, Richard J.
1
1980
Fractal image compression. (Bildkompression mit Fraktalen. Aus d. Amerikan. von Gisbert W. Selke u. Harald Selke.) Zbl 0867.68114
Barnsley, Michael F.; Hurd, Lyman P.
1
1996
Optimization on fractals and stability. Zbl 1259.28009
Barnsley, M.; Freiberg, U.; La Torre, D.
1
2012
Histopolating fractal functions. Zbl 1524.28011
Barnsley, Michael F.; Viswanathan, P.
1
2023
Histopolating fractal functions. Zbl 1524.28011
Barnsley, Michael F.; Viswanathan, P.
1
2023
Tilings from graph directed iterated function systems. Zbl 1467.28006
Barnsley, Michael; Vince, Andrew
2
2021
Symmetric itinerary sets. Zbl 1417.37141
Barnsley, Michael F.; Mihalache, Nicolae
4
2019
Self-similar tilings of fractal blow-ups. Zbl 1427.52014
Barnsley, M. F.; Vince, A.
2
2019
Basic topological structure of fast basins. Zbl 1432.37054
Barnsley, Michael F.; Leśniak, Krzysztof; Rypka, Miroslav
5
2018
Self-similar polygonal tiling. Zbl 1391.52026
Barnsley, Michael; Vince, Andrew
7
2017
Chaos game for IFSs on topological spaces. Zbl 1341.37013
Barnsley, Michael F.; Leśniak, Krzysztof; Rypka, Miroslav
17
2016
Old wine in fractal bottles. I: Orthogonal expansions on self-referential spaces via fractal transformations. Zbl 1372.28006
Bandt, Christoph; Barnsley, Michael; Hegland, Markus; Vince, Andrew
10
2016
Approximation of rough functions. Zbl 1350.26003
Barnsley, M. F.; Harding, B.; Vince, A.; Viswanathan, P.
6
2016
Bilinear fractal interpolation and box dimension. Zbl 1315.28003
Barnsley, Michael F.; Massopust, Peter R.
47
2015
On the continuity of the Hutchinson operator. Zbl 1371.54130
Barnsley, Michael F.; Leśniak, Krzysztof
11
2015
Fast basins and branched fractal manifolds of attractors of iterated function systems. Zbl 1359.37037
Barnsley, Michael F.; Vince, Andrew
5
2015
Three-dimensional fractal homeomorphisms. Zbl 1331.28015
Barnsley, Michael F.; Harding, Brendan
2
2015
The chaos game on a general iterated function system from a topological point of view. Zbl 1304.28003
Barnsley, Michael F.; Leśniak, Krzysztof
18
2014
Some recent progress concerning topology of fractals. Zbl 1322.54002
Barnsley, Michael F.; Wilson, David C.; Leśniak, Krzysztof
15
2014
Numerics and fractals. Zbl 1305.28015
Barnsley, Michael F.; Hegland, Markus; Massopust, Peter
13
2014
Fractal tilings from iterated function systems. Zbl 1336.28006
Barnsley, Michael; Vince, Andrew
12
2014
The entropy of a special overlapping dynamical system. Zbl 1290.37017
Barnsley, Michael; Harding, Brendan; Vince, Andrew
9
2014
Critical itineraries of maps with constant slope and one discontinuity. Zbl 1376.37031
Barnsley, Michael; Steiner, Wolfgang; Vince, Andrew
4
2014
Measure preserving fractal homeomorphisms. Zbl 1317.28009
Barnsley, Michael F.; Harding, Brendan; Rypka, Miroslav
2
2014
Fractals, wavelets, and their applications. Contributions from the international conference and workshop on fractals and wavelets, Kerala, India, November 9–12, 2013. Zbl 1300.28001
1
2014
Developments in fractal geometry. Zbl 1275.28006
Barnsley, Michael; Vince, Andrew
31
2013
The Conley attractors of an iterated function system. Zbl 1417.37080
Barnsley, Michael F.; Vince, Andrew
22
2013
Fractal continuation. Zbl 1279.28013
Barnsley, Michael F.; Vince, Andrew
16
2013
Fractal homeomorphism for bi-affine iterated function systems. Zbl 1291.28007
Barnsley, Michael; Vince, Andrew
7
2013
\(V\)-variable fractals: dimension results. Zbl 1244.28008
Barnsley, Michael; Hutchinson, John E.; Stenflo, Örjan
15
2012
Real projective iterated function systems. Zbl 1256.28002
Barnsley, Michael F.; Vince, Andrew
15
2012
Overlapping iterated function systems on a segment. Zbl 1338.37022
Barnsley, Michael; Igudesman, K. B.
2
2012
Glimpses of Benoît B. Mandelbrot (1924–2010). Zbl 1284.01047
Stewart, Ian; Mumford, David; Falconer, Kenneth; Eglash, Ron; Brothers, Harlan; Lesmoir-Gordon, Nigel; Barrallo, Javier; Berry, Michael; Frame, Michael
1
2012
The influence of Benoît B. Mandelbrot on mathematics. Zbl 1284.01048
Stewart, Ian; Mumford, David; Howe, Roger; Furstenberg, Hillel; Falconer, Kenneth; West, Bruce J.; Coppens, Marc-Olivier; Cohen, Nathan; Jaffard, Stéphane; Berry, Michael; Frame, Michael
1
2012
Optimization on fractals and stability. Zbl 1259.28009
Barnsley, M.; Freiberg, U.; La Torre, D.
1
2012
The chaos game on a general iterated function system. Zbl 1221.37079
Barnsley, Michael F.; Vince, Andrew
32
2011
How to transform and filter images using iterated function systems. Zbl 1246.37024
Barnsley, Michael F.; Harding, Brendan; Igudesman, Konstantin
12
2011
The eigenvalue problem for linear and affine iterated function systems. Zbl 1229.15008
Barnsley, Michael; Vince, Andrew
7
2011
Topological contractive systems. Zbl 1253.37012
Barnsley, M.; Igudesman, K.
4
2011
A characterization of hyperbolic affine iterated function systems. Zbl 1196.28011
Atkins, Ross; Barnsley, Michael F.; Vince, Andrew; Wilson, David C.
16
2010
The life and survival of mathematical ideas. Zbl 1189.00011
Barnsley, Michael F.
2
2010
Transformations between self-referential sets. Zbl 1229.28009
Barnsley, Michael F.
13
2009
Measure-valued images, associated fractal transforms, and the affine self-similarity of images. Zbl 1175.94022
La Torre, D.; Vrscay, E. R.; Ebrahimi, M.; Barnsley, M. F.
9
2009
\(V\)-variable fractals: Fractals with partial self similarity. Zbl 1169.28006
Barnsley, Michael F.; Hutchinson, John E.; Stenflo, Örjan
40
2008
Superfractals. Zbl 1123.28007
Barnsley, Michael Fielding
70
2006
A fractal valued random iteration algorithm and fractal hierarchy. Zbl 1304.28004
Barnsley, Michael; Hutchinson, John; Stenflo, Örjan
31
2005
Theory and applications of fractal tops. Zbl 1192.37010
Barnsley, Michael
8
2005
Iterated function systems for lossless data compression. Zbl 1030.94004
Barnsley, Michael F.
4
2002
Fractals in multimedia. Based on a minisymposium held as part of the IMA annual program on mathematics in multimedia, Minneapolis, MN, USA, January 2001. Zbl 0996.00032
Barnsley, Michael F.; Saupe, Dietmar; Vrscay, Edward R.
1
2002
Fractal image compression. Zbl 1114.68568
Barnsley, M.; Barnsley, L.
20
1997
Stationary stochastic processes and fractal data compression. Zbl 0899.60073
Barnsley, Michael F.; Deliu, Anca; Xie, Ruifeng
1
1997
Fractal image compression. Zbl 1044.94501
Barnsley, Michael F.
14
1996
Fractal image compression. (Bildkompression mit Fraktalen. Aus d. Amerikan. von Gisbert W. Selke u. Harald Selke.) Zbl 0867.68114
Barnsley, Michael F.; Hurd, Lyman P.
1
1996
Fractals everywhere. Revised with the assistance of Hawley Rising III. Answer key by Hawley Rising III. 2nd ed. Zbl 0784.58002
Barnsley, Michael F.
142
1993
Fractal image compression. Illustrations by Louisa F. Anson. Zbl 0796.68186
Barnsley, Michael F.; Hurd, Lyman P.
44
1993
The calculus of fractal interpolation functions. Zbl 0693.41008
Barnsley, Michael F.; Harrington, Andrew N.
130
1989
Recurrent iterated function systems. Zbl 0659.60045
Barnsley, Michael F.; Elton, John H.; Hardin, Douglas P.
116
1989
Hidden variable fractal interpolation functions. Zbl 0704.26009
Barnsley, M. F.; Elton, J.; Hardin, D.; Massopust, P.
107
1989
Erratum: Invariant measures for Markov processes arising from iterated function systems with place-dependent probabilities. Zbl 0715.60086
Barnsley, M. F.; Demko, S. G.; Elton, J. H.; Geronimo, J. S.
11
1989
Chaos and fractals. The mathematics behind the computer graphics. (Lectures delivered in the AMS short course on August 6-7, 1988, given in conjunction with the AMS centennial meeting in Procidence, RI). Zbl 0677.58004
4
1989
Lecture notes on iterated function systems. Zbl 0752.58013
Barnsley, Michael F.
3
1989
Fractals everywhere. Zbl 0691.58001
Barnsley, Michael
747
1988
Invariant measures for Markov processes arising from iterated function systems with place-dependent probabilities. Zbl 0653.60057
Barnsley, M. F; Demko, S. G.; Elton, J. H.; Geronimo, J. S.
92
1988
A new class of Markov processes for image encoding. Zbl 0643.60050
Barnsley, Michael F.; Elton, John H.
47
1988
The science of fractal images. With contributions by Yuval Fisher and Michael McGuire. Ed. by Heinz-Otto Peitgen and Dietmar Saupe. (Based on notes for the course fractals - introduction, basics and pespectives given as part of the SIG-GRAPH ’87, Anaheim, Calif. course program). Zbl 0683.58003
Barnsley, Michael F.; Devaney, Robert L.; Mandelbrot, Benoit B.; Peitgen, Heinz-Otto; Saupe, Dietmar; Voss, Richard
37
1988
Mixing Markov chains and their images. Zbl 1134.68576
Barnsley, Michael F.; Berger, Marc A.; Soner, H. Meté
5
1988
Fractal functions and interpolation. Zbl 0606.41005
Barnsley, Michael F.
327
1986
Solution of an inverse problem for fractals and other sets. Zbl 0613.28008
Barnsley, M. F.; Ervin, V.; Hardin, D.; Lancaster, J.
52
1986
Chaotic dynamics and fractals. (Proceedings of a Conference on Chaotic Dynamics, Georgia Institute of Technology, Atlanta, Georgia, March 25-29, 1985). Zbl 0593.00013
4
1986
Making chaotic dynamical systems to order. Zbl 0611.58039
Barnsley, Michael F.
2
1986
Iterated function systems and the global construction of fractals. Zbl 0588.28002
Barnsley, M. F.; Demko, Stephen
219
1985
Almost periodic Jacobi matrices associated with Julia sets for polynomials. Zbl 0574.58016
Barnsley, M. F.; Geronimo, J. S.; Harrington, A. N.
14
1985
Condensed Julia sets, with an application to a fractal lattice model Hamiltonian. Zbl 0565.30018
Barnsley, M. F.; Geronimo, J. S.; Harrington, A. N.
6
1985
A study of Boltzmann energy equations. Zbl 0591.76134
Barnsley, Michael F.; Turchetti, Giorgio
4
1985
Iterated networks and the spectra of renormalizable electromechanical systems. Zbl 0624.58038
Barnsley, M. F.; Morley, T. D.; Vrscay, E. R.
2
1985
Moments of balanced measures on Julia sets. Zbl 0512.30014
Barnsley, M. F.; Harrington, A. N.
9
1984
Geometrical and electrical properties of some Julia sets. Zbl 0548.30021
Barnsley, M. F.; Geronimo, J. S.; Harrington, A. N.
5
1984
Rational approximation of fractals. Zbl 0571.41010
Barnsley, Michael F.; Demko, Stephen G.
4
1984
Geometry and combinatorics of Julia sets of real quadratic maps. Zbl 0588.58054
Barnsley, M. F.; Geronimo, J. S.; Harrington, A. N.
3
1984
Infinite-dimensional Jacobi matrices associated with Julia sets. Zbl 0535.30025
Barnsley, M. F.; Geronimo, J. S.; Harrington, A. N.
21
1983
On the invariant sets of a family of quadratic maps. Zbl 0535.30024
Barnsley, M. F.; Geronimo, J. S.; Harrington, A. N.
18
1983
Geometry, electrostatic measure and orthogonal polynomials on Julia sets for polynomials. Zbl 0566.41033
Barnsley, M. F.; Geronimo, J. S.; Harrington, A. N.
14
1983
Some tree-like Julia sets and Padé approximants. Zbl 0532.41023
Barnsley, M. F.; Geronimo, J. S.; Harrington, A. N.
5
1983
Solutions for a model Boltzmann equation by monotonicity methods. Zbl 0529.45007
Barnsley, M. F.; Herod, J. V.; Mosher, D. L.; Passty, G. B.
3
1983
Orthogonal polynomials associated with invariant measures on Julia sets. Zbl 0509.30023
Barnsley, M. F.; Geronimo, J. S.; Harrington, A. N.
34
1982
General solution of a Boltzmann equation, and the formation of Maxwellian tails. Zbl 0488.76081
Barnsley, M.; Cornille, H.
7
1981
The Tjon-Wu equation in Banach space settings. Zbl 0471.34046
Barnsley, M. F.; Herod, J. V.; Jory, V. V.; Passty, G. B.
5
1981
Analysis of Boltzmann equations in Hilbert space by means of a non-linear eigenvalue property. Zbl 0494.35076
Barnsley, M. F.; Herod, J. V.; Mosher, D. L.; Passty, G. B.
2
1981
New results on the nonlinear Boltzmann equation. Zbl 0432.76062
Barnsley, Michael F.; Turchetti, Giorgio
7
1980
On a class of solutions of the Krook-Tjon-Wu model of the Boltzmann equation. Zbl 0443.76066
Barnsley, M.; Cornille, H.
7
1980
Bounds for the rth characteristic frequency of a beaded string or of an electrical filter. Zbl 0435.15009
Barnsley, Michael F.; Duffin, Richard J.
1
1980
The Diophantine moment problem and the analytic structure in the activity of the ferromagnetic Ising model. Zbl 0454.44006
Barnsley, M.; Bessis, D.; Moussa, P.
10
1979
Pointwise bivariational bounds on solutions of Fredholm integral equations. Zbl 0395.65066
Robinson, Peter D.; Barnsley, Michael F.
6
1979
Rational approximant bounds for a class of two-variable Stieltjes functions. Zbl 0375.41006
Barnsley, M. F.; Robinson, P. D.
1
1978
Bivariational bounds for non-linear problems. Zbl 0383.49035
Barnsley, M. F.; Robinson, P. D.
5
1977
Bivariational bounds associated with non-self-adjoint linear operators. Zbl 0344.49032
Barnsley, Michael F.; Robinson, Peter D.
4
1976
Bivariational bounds in a complex Hilbert space, and correction terms for Padé approximants. Zbl 0322.41011
Barnsley, M. F.; Baker, George A. jun.
3
1976
Padé approximant bounds for the difference of two series of Stieltjes. Zbl 0332.41014
Barnsley, M. F.
1
1976
Correction terms for Padé approximants. Zbl 0298.41007
Barnsley, M. F.
8
1975
Bivariational bounds. Zbl 0295.49022
Barnsley, M. F.; Robinson, P. D.
17
1974
Dual variational principles and Padé-type approximants. Zbl 0286.65035
Barnsley, M. F.; Robinson, P. D.
4
1974
Padé-approximant bounds and approximate solutions for Kirkwood-Riseman integral equations. Zbl 0286.65063
Barnsley, M. F.; Robinson, P. D.
1
1974
The bounding properties of the multipoint Padé approximant to a series of Stieltjes on the real line. Zbl 0279.41013
Barnsley, Michael
10
1973
A variational approach to the theory of multipoint Padé approximants. Zbl 0279.41012
Epstein, Saul T.; Barnsley, Michael F.
2
1973
all top 5

Cited by 1,763 Authors

71 Chand, Arya Kumar Bedabrata
56 Navascués, María Antonia
50 Barnsley, Michael Fielding
38 Viswanathan, Puthan Veedu
27 Miculescu, Radu
25 La Torre, Davide
25 Mihail, Alexandru
21 Vijender, Nallapu
20 Vince, Andrew
18 Massopust, Peter R.
18 Mendivil, Franklin
18 Strobin, Filip
18 Verma, Saurabh
17 Mantica, Giorgio
16 Vrscay, Edward Robert
15 Gowrisankar, A.
14 Geronimo, Jeffrey S.
14 Jørgensen, Palle E. T.
14 Leśniak, Krzysztof
13 Kunze, Harald
13 Kunze, Herb E.
13 Saltan, Mustafa
12 Panagiotopoulos, Panagiotis D.
12 Sebastián, María Victoria
11 Bandt, Christoph
11 Drakopoulos, Vasileios
11 Harrington, Andrew N.
11 Jha, Sangita
11 Panagouli, O. K.
11 Prasad, M. Guru Prem
11 Ri, Songil
11 Ruan, Huo-Jun
10 Katiyar, Saurabh Kumar
10 Oliveira, Elismar R.
10 Stenflo, Orjan
10 Yun, Cholhui
9 Abbas, Syed
9 Andres, Jan
9 Bouboulis, Pantelis
9 Chandra, Subhash Ajay
9 Mathew Karakkad, Sunil
9 Özdemir, Yunus
9 Secelean, Nicolae-Adrian
9 Wang, Hongyong
9 Wang, Xingyuan
8 Akhtar, Md. Nasim
8 Bessis, Daniel
8 Dalla, Leoni
8 Demir, Bunyamin
8 Fraser, Jonathan MacDonald
8 Horbacz, Katarzyna
8 Igudesman, Konstantin B.
8 Kapoor, Govind P.
8 Luor, Dahchin
8 Mistakidis, E. S.
8 Privileggi, Fabio
8 Priyanka, T. M. C.
8 Serpa, Cristina
8 Trutschnig, Wolfgang
8 Uthayakumar, Ramasamy
7 Fernández-Sánchez, Juan
7 Gdawiec, Krzysztof
7 Guzik, Grzegorz
7 Hardin, Douglas P.
7 Ioana, Loredana
7 Lasota, Andrzej
7 Nowak, Magdalena
7 Prasad, Srijanani Anurag
7 Priyadarshi, Amit
7 Roychowdhury, Mrinal Kanti
7 Ruiz Galán, Manuel
7 Shorten, Robert N.
7 Tyada, K. R.
6 Balasubramani, N.
6 Banakh, Taras Onufrievich
6 Chitescu, Ion
6 Culik, Karel II
6 Drewes, Frank
6 Koçak, Şahin
6 Liang, Yongshun
6 Marsiglio, Simone
6 Matias, Edgar
6 Molter, Ursula Maria
6 Moussa, Pierre
6 Nia, Mehdi Fatehi
6 Pan, Xuezai
6 Pasupathi, R.
6 Petruşel, Adrian
6 Rypka, Miroslav
6 Snigireva, Nina
6 Som, Tanmoy
6 Szarek, Tomasz Jakub
6 Verma, Manuj
6 Zhu, Sanguo
5 Agrawal, Vishal
5 Alpan, Gökalp
5 Aslan, Nisa
5 Bory Reyes, Juan
5 Cabrelli, Carlos A.
5 Chugh, Renu
...and 1,663 more Authors
all top 5

Cited in 373 Serials

126 Fractals
114 Chaos, Solitons and Fractals
78 Journal of Mathematical Analysis and Applications
31 Communications in Nonlinear Science and Numerical Simulation
30 Journal of Computational and Applied Mathematics
24 Physica D
24 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
22 Applied Mathematics and Computation
19 Proceedings of the American Mathematical Society
19 Journal of Fractal Geometry
18 Journal of Approximation Theory
18 Ergodic Theory and Dynamical Systems
17 Computers & Mathematics with Applications
17 Journal of Statistical Physics
17 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
17 Results in Mathematics
17 Theoretical Computer Science
16 Journal of Mathematical Physics
16 Mediterranean Journal of Mathematics
14 Transactions of the American Mathematical Society
14 Topology and its Applications
13 Aequationes Mathematicae
12 Nonlinearity
12 Acta Applicandae Mathematicae
12 Constructive Approximation
11 Numerical Algorithms
11 Indagationes Mathematicae. New Series
10 Bulletin of the Australian Mathematical Society
10 Physica A
10 Discrete and Continuous Dynamical Systems
10 Chaos
10 Qualitative Theory of Dynamical Systems
9 Rocky Mountain Journal of Mathematics
9 Numerical Functional Analysis and Optimization
9 International Journal of Computer Mathematics
9 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
9 Journal of Fixed Point Theory and Applications
8 Communications in Mathematical Physics
8 Fuzzy Sets and Systems
8 Statistics & Probability Letters
8 Applied Mathematics Letters
8 Linear Algebra and its Applications
8 The Journal of Analysis
8 Nonlinear Dynamics
7 The Mathematical Intelligencer
7 Advances in Mathematics
7 Stochastic Processes and their Applications
7 Russian Mathematics
7 Applied Mathematics. Series B (English Edition)
7 Computational and Applied Mathematics
7 Journal of Difference Equations and Applications
7 Fixed Point Theory and Applications
7 Nonlinear Analysis. Theory, Methods & Applications
6 Physics Letters. A
6 Mathematics and Computers in Simulation
6 Monatshefte für Mathematik
6 Applied Mathematical Modelling
6 Mathematical Problems in Engineering
6 Abstract and Applied Analysis
6 Fractional Calculus & Applied Analysis
5 Information Processing Letters
5 Automatica
5 Demonstratio Mathematica
5 Journal of Theoretical Probability
5 The Journal of Geometric Analysis
5 Pattern Recognition
5 Applied and Computational Harmonic Analysis
5 Turkish Journal of Mathematics
5 The Journal of Fourier Analysis and Applications
5 Nonlinear Analysis. Real World Applications
5 Journal of Dynamical Systems and Geometric Theories
5 Central European Journal of Mathematics
5 Advances in Difference Equations
5 Complex Analysis and Operator Theory
4 Discrete Applied Mathematics
4 Mathematical Proceedings of the Cambridge Philosophical Society
4 Wave Motion
4 Calcolo
4 Mathematische Nachrichten
4 Acta Mathematica Hungarica
4 Acta Mathematicae Applicatae Sinica. English Series
4 RAIRO. Informatique Théorique et Applications
4 Journal of Mathematical Imaging and Vision
4 Experimental Mathematics
4 Topological Methods in Nonlinear Analysis
4 Discrete Dynamics in Nature and Society
4 Lobachevskii Journal of Mathematics
4 Dynamical Systems
4 Journal of Applied Mathematics
4 Stochastics and Dynamics
4 Bulletin of the Brazilian Mathematical Society. New Series
4 Asian-European Journal of Mathematics
4 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
3 Acta Informatica
3 American Mathematical Monthly
3 Applicable Analysis
3 Computer Methods in Applied Mechanics and Engineering
3 Mathematical Biosciences
3 Mathematical Methods in the Applied Sciences
3 Ukrainian Mathematical Journal
...and 273 more Serials
all top 5

Cited in 59 Fields

831 Measure and integration (28-XX)
493 Dynamical systems and ergodic theory (37-XX)
205 Approximations and expansions (41-XX)
199 Numerical analysis (65-XX)
163 Probability theory and stochastic processes (60-XX)
158 Computer science (68-XX)
144 Operator theory (47-XX)
127 Real functions (26-XX)
114 General topology (54-XX)
87 Information and communication theory, circuits (94-XX)
82 Harmonic analysis on Euclidean spaces (42-XX)
52 Functions of a complex variable (30-XX)
48 Ordinary differential equations (34-XX)
47 Functional analysis (46-XX)
47 Biology and other natural sciences (92-XX)
40 Number theory (11-XX)
40 Partial differential equations (35-XX)
39 Statistics (62-XX)
37 Difference and functional equations (39-XX)
33 Quantum theory (81-XX)
32 Combinatorics (05-XX)
31 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
29 Statistical mechanics, structure of matter (82-XX)
28 Convex and discrete geometry (52-XX)
27 Calculus of variations and optimal control; optimization (49-XX)
25 Systems theory; control (93-XX)
24 Linear and multilinear algebra; matrix theory (15-XX)
23 Special functions (33-XX)
23 Mechanics of deformable solids (74-XX)
23 Operations research, mathematical programming (90-XX)
18 Global analysis, analysis on manifolds (58-XX)
17 Potential theory (31-XX)
15 Mathematical logic and foundations (03-XX)
15 Integral equations (45-XX)
15 Fluid mechanics (76-XX)
14 Geometry (51-XX)
13 Group theory and generalizations (20-XX)
9 General and overarching topics; collections (00-XX)
7 Differential geometry (53-XX)
6 Algebraic geometry (14-XX)
6 Topological groups, Lie groups (22-XX)
6 Manifolds and cell complexes (57-XX)
5 Abstract harmonic analysis (43-XX)
5 Optics, electromagnetic theory (78-XX)
5 Geophysics (86-XX)
4 History and biography (01-XX)
4 Algebraic topology (55-XX)
3 Category theory; homological algebra (18-XX)
3 Several complex variables and analytic spaces (32-XX)
3 Sequences, series, summability (40-XX)
3 Relativity and gravitational theory (83-XX)
3 Mathematics education (97-XX)
2 Order, lattices, ordered algebraic structures (06-XX)
2 Field theory and polynomials (12-XX)
2 \(K\)-theory (19-XX)
2 Integral transforms, operational calculus (44-XX)
2 Mechanics of particles and systems (70-XX)
2 Classical thermodynamics, heat transfer (80-XX)
1 Nonassociative rings and algebras (17-XX)

Citations by Year

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