Michael F. Barnsley

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All published works
Action Title Year Authors
+ PDF Chat Elementary fractal geometry. 5. Weak separation is strong separation 2024 Christoph Bandt
Michael F. Barnsley
+ PDF Chat Tiling iterated function systems 2024 Louisa F. Barnsley
Michael F. Barnsley
Andrew Vince
+ PDF Chat Distortion Reversal in Aperiodic Tilings 2023 Louisa F. Barnsley
Michael F. Barnsley
Andrew Vince
+ Remembrances of Derek William Robinson, June 25, 1935–August 31, 2021 2023 Michael F. Barnsley
Bruno Nachtergaele
Barry Simon
Alain Connes
David Evans
Giovanni Gallavotti
Sheldon L. Glashow
Arthur Jaffe
Palle E. T. Jørgensen
Aki Kishimoto
+ Histopolating fractal functions 2023 Michael F. Barnsley
P. Viswanathan
+ Blowups and Tops of Overlapping Iterated Function Systems 2023 Louisa F. Barnsley
Michael F. Barnsley
+ Remembrances of Derek William Robinson (25 June 1935 - 31 August 2021) 2023 Michael F. Barnsley
Bruno Nachtergaele
Barry Simon
+ Blowups and Tops of Overlapping Iterated Function Systems 2023 Louisa F. Barnsley
Michael F. Barnsley
+ CENTRAL OPEN SETS TILINGS 2021 Louisa F. Barnsley
Michael F. Barnsley
+ Proceedings of the conference Contemporary Mathematics in Kielce 2020, February 24-27 2021 2021 Szymon M. Walczak
Krzysztof Ciesielski
Taro Asuke
Тарас Банах
Barbara Bara
M Lgorzata Zambrowska
Louisa F. Barnsley
Michael F. Barnsley
+ Distortion Reversal in Aperiodic Tilings 2021 Louisa F. Barnsley
Michael F. Barnsley
Andrew Vince
+ PDF Chat Tilings from graph directed iterated function systems 2020 Michael F. Barnsley
Andrew Vince
+ Tiling Iterated Function Systems 2020 Michael F. Barnsley
Louisa F. Barnsley
Andrew Vince
+ Tilings from Graph Directed Iterated Function Systems 2019 Michael F. Barnsley
Andrew Vince
+ PDF Chat SYMMETRIC ITINERARY SETS 2019 Michael F. Barnsley
N Mihalache
+ PDF Chat Self-similar tilings of fractal blow-ups 2019 Michael F. Barnsley
Andrew Vince
+ Tilings from Graph Directed Iterated Function Systems 2019 Michael F. Barnsley
Andrew Vince
+ Geometrical and Electrical Properties of Some Julia Sets 2018 Michael F. Barnsley
Jeffrey S. Geronimo
A. N. Harrington
+ Tiling iterated function systems and Anderson-Putnam theory 2018 Michael F. Barnsley
Andrew Vince
+ PDF Chat BASIC TOPOLOGICAL STRUCTURE OF FAST BASINS 2017 Michael F. Barnsley
Krzysztof Leśniak
M Rypka
+ Self-Similar Tilings of Fractal Blow-Ups 2017 Michael F. Barnsley
Andrew Vince
+ Self-Similar Polygonal Tiling 2017 Michael F. Barnsley
Andrew Vince
+ Self-Similar Tilings of Fractal Blow-Ups 2017 Michael F. Barnsley
Andrew Vince
+ Self-Similar Polygonal Tiling 2016 Michael F. Barnsley
Andrew Vince
+ Old wine in fractal bottles I: Orthogonal expansions on self-referential spaces via fractal transformations 2016 Christoph Bandt
Michael F. Barnsley
Markus Hegland
Andrew Vince
+ Approximation of rough functions 2016 Michael F. Barnsley
Brendan Harding
Andrew Vince
P. Viswanathan
+ Self-referential Functions 2016 Michael F. Barnsley
Markus Hegland
Peter Massopust
+ Self-Similar Polygonal Tiling 2016 Michael F. Barnsley
Andrew Vince
+ Chaos game for IFSs on topological spaces 2015 Michael F. Barnsley
Krzysztof Leśniak
M Rypka
+ PDF Chat Fast Basins and Branched Fractal Manifolds of Attractors of Iterated Function Systems 2015 Michael F. Barnsley
Andrew Vince
+ PDF Chat On the Continuity of the Hutchinson Operator 2015 Michael F. Barnsley
Krzysztof Leśniak
+ Iterated Function Systems 2015 Michael F. Barnsley
+ Three-dimensional fractal homeomorphisms 2015 Michael F. Barnsley
Brendan Harding
+ Discontinuous Fractal Functions and Fractal Histopolation 2015 Michael F. Barnsley
P. Viswanathan
+ Bilinear fractal interpolation and box dimension 2014 Michael F. Barnsley
Peter Massopust
+ PDF Chat Critical itineraries of maps with constant slope and one discontinuity 2014 Michael F. Barnsley
Wolfgang Steiner
Andrew Vince
+ PDF Chat The Chaos Game on a General Iterated Function System from a Topological Point of View 2014 Michael F. Barnsley
Krzysztof Leśniak
+ Chaos game for IFSs on topological spaces 2014 Michael F. Barnsley
Krzysztof Leśniak
M Rypka
+ PDF Chat Fractal Tilings from Iterated Function Systems 2014 Michael F. Barnsley
Andrew Vince
+ Conjugacies provided by fractal transformations I : Conjugate measures, Hilbert spaces, orthogonal expansions, and flows, on self-referential spaces 2014 Christoph Bandt
Michael F. Barnsley
Markus Hegland
Andrew Vince
+ Approximation of Rough Functions 2014 Michael F. Barnsley
Brendan Harding
Andrew Vince
P. Viswanathan
+ Measure Preserving Fractal Homeomorphisms 2014 Michael F. Barnsley
Brendan Harding
M Rypka
+ Fractals, Wavelets, and their Applications 2014 Christoph Bandt
Michael F. Barnsley
Robert L. Devaney
K. J. Falconer
Vimalathithan Paramsamy Kannan
Vinod Kumar P.B.
+ Numerics and Fractals 2014 Michael F. Barnsley
Markus Hegland
Peter Massopust
+ Chaos game for IFSs on topological spaces 2014 Michael F. Barnsley
Krzysztof Leśniak
M Rypka
+ Some Recent Progress Concerning Topology of Fractals 2013 Michael F. Barnsley
David Wilson
Krzysztof Leśniak
+ Fractal Tiling 2013 Michael F. Barnsley
Andrew Vince
+ Numerics and Fractals 2013 Michael F. Barnsley
Markus Hegland
Peter Massopust
+ Fractal Continuation 2013 Michael F. Barnsley
Andrew Vince
+ Basic Topological Structure of Fast Basins 2013 Michael F. Barnsley
Krzysztof Leśniak
+ Symbolic Iterated Function Systems, Fast Basins and Fractal Manifolds 2013 Michael F. Barnsley
Andrew Vince
+ PDF Chat THE CONLEY ATTRACTORS OF AN ITERATED FUNCTION SYSTEM 2013 Michael F. Barnsley
Andrew Vince
+ PDF Chat Developments in fractal geometry 2013 Michael F. Barnsley
Andrew Vince
+ PDF Chat Fractal homeomorphism for bi-affine iterated function systems 2013 Michael F. Barnsley
Andrew Vince
+ Fractal Transformations in 2 and 3 Dimensions 2013 Michael F. Barnsley
Brendan Harding
+ Basic Topological Structure of Fast Basins 2013 Michael F. Barnsley
Krzysztof Leśniak
+ Numerics and Fractals 2013 Michael F. Barnsley
Markus Hegland
Peter Massopust
+ Fractal Tiling 2013 Michael F. Barnsley
Andrew Vince
+ Optimization on fractals and stability 2012 Michael F. Barnsley
Uta Freiberg
David La Torre
+ Overlapping iterated function systems on a segment 2012 Michael F. Barnsley
Konstantin Igudesman
+ Fractal Continuation of Analytic (Fractal) Functions 2012 Michael F. Barnsley
Andrew Vince
+ Bilinear Fractal Interpolation and Box Dimension 2012 Michael F. Barnsley
Peter Massopust
+ The Influence of Benoît B. Mandelbrot on Mathematics 2012 Michael F. Barnsley
Michael Frame
Roger Howe
Ian Stewart
David Mumford
Hillel Fürstenberg
K. J. Falconer
Bruce J. West
Marc‐Olivier Coppens
Nathan Cohen
+ The Conley Attractor of an Iterated Function System 2012 Michael F. Barnsley
Andrew Vince
+ A Combinatorial Characterization of the Critical Itineraries of a Uniform Dynamical System 2012 Michael F. Barnsley
Wolfgang Steiner
Andrew Vince
+ PDF Chat The entropy of a special overlapping dynamical system 2012 Michael F. Barnsley
Brendan Harding
Andrew Vince
+ The chaos game on a general iterated function system from a topological point of view 2012 Michael F. Barnsley
Krzysztof Leśniak
+ On the continuity of the Hutchinson operator 2012 Michael F. Barnsley
Krzysztof Leśniak
+ Fractal Continuation 2012 Michael F. Barnsley
Andrew Vince
+ The chaos game on a general iterated function system from a topological point of view 2012 Michael F. Barnsley
Krzysztof Leśniak
+ Bilinear Fractal Interpolation and Box Dimension 2012 Michael F. Barnsley
Peter Massopust
+ A Combinatorial Characterization of the Critical Itineraries of a Uniform Dynamical System 2012 Michael F. Barnsley
Wolfgang Steiner
Andrew Vince
+ The Conley Attractor of an Iterated Function System 2012 Michael F. Barnsley
Andrew Vince
+ On the continuity of the Hutchinson operator 2012 Michael F. Barnsley
Krzysztof Leśniak
+ Fractal Homeomorphism for Bi-affine Iterated Function Systems 2011 Michael F. Barnsley
Andrew Vince
+ PDF Chat The eigenvalue problem for linear and affine iterated function systems 2011 Michael F. Barnsley
Andrew Vince
+ PDF Chat Real Projective Iterated Function Systems 2011 Michael F. Barnsley
Andrew Vince
+ How to Transform and Filter Images using Iterated Function Systems 2011 Michael F. Barnsley
Brendan Harding
Konstantin Igudesman
+ Homeomorphisms generated from overlapping affine iterated function systems 2011 Michael F. Barnsley
Brendan Harding
Andrew Vince
+ PDF Chat How to Transform and Filter Images Using Iterated Function Systems 2011 Michael F. Barnsley
Brendan Harding
Konstantin Igudesman
+ How to Transform and Filter Images using Iterated Function Systems 2011 Michael F. Barnsley
Brendan Harding
Konstantin Igudesman
+ Fractal Homeomorphism for Bi-affine Iterated Function Systems 2011 Michael F. Barnsley
Andrew Vince
+ PDF Chat SYMMETRIC ITINERARY SETS 2011 Michael F. Barnsley
Nicolae Mihalache
+ PDF Chat SYMMETRIC ITINERARY SETS 2011 Michael F. Barnsley
N Mihalache
+ -variable fractals: dimension results 2010 Michael F. Barnsley
John Hutchinson
Örjan Stenflo
+ PDF Chat The chaos game on a general iterated function system 2010 Michael F. Barnsley
Andrew Vince
+ The Chaos Game on a General Iterated Function System 2010 Michael F. Barnsley
Andrew Vince
+ The Eigenvalue Problem for Linear and Affine Iterated Function Systems 2010 Michael F. Barnsley
Andrew Vince
+ Real Projective Iterated Function Systems 2010 Michael F. Barnsley
Andrew Vince
+ A Characterization of Hyperbolic Affine Iterated Function Systems 2010 Ross Atkins
Michael F. Barnsley
Andrew Vince
David C. Wilson
+ Fractal Transformations 2010 Michael F. Barnsley
Louisa F. Barnsley
+ The Chaos Game on a General Iterated Function System 2010 Michael F. Barnsley
Andrew Vince
+ Real Projective Iterated Function Systems 2010 Michael F. Barnsley
Andrew Vince
+ The Eigenvalue Problem for Linear and Affine Iterated Function Systems 2010 Michael F. Barnsley
Andrew Vince
+ Transformations between Self-Referential Sets 2009 Michael F. Barnsley
+ Transformations between Self-Referential Sets 2009 Michael F. Barnsley
+ PDF Chat Transformations Between Fractals 2009 Michael F. Barnsley
+ A Characterization of Hyperbolic Affine Iterated Function Systems 2009 Ross Atkins
Michael F. Barnsley
Andrew Vince
David C. Wilson
+ Measure-Valued Images, Associated Fractal Transforms, and the Affine Self-Similarity of Images 2009 Davide La Torre
Edward R. Vrscay
Mehran Ebrahimi
Michael F. Barnsley
+ Measure-valued images, associated fractal transforms and the affine self-similarity of images 2008 Davide La Torre
Edward R. Vrscay
Mehran Ebrahimi
Michael F. Barnsley
+ V-variable fractals: Fractals with partial self similarity 2008 Michael F. Barnsley
John Hutchinson
Örjan Stenflo
+ V-Variable Fractals: Fractals with Partial Self Similarity 2008 Michael F. Barnsley
John Hutchinson
Örjan Stenflo
+ Transformations between attractors of hyperbolic iterated function systems 2007 Michael F. Barnsley
+ Fractal transformations of harmonic functions 2006 Michael F. Barnsley
Uta Freiberg
+ A method of fractal coding for measure-valued images 2006 Davide La Torre
Edward R. Vrscay
Mahtab Ebrahimi
Michael F. Barnsley
+ Hyperbolic IFSs, attractors and fractal tops 2006 Michael F. Barnsley
+ Transformations of points, sets, pictures and measures 2006 Michael F. Barnsley
+ SuperFractals 2006 Michael F. Barnsley
+ A method of fractal coding for measure-valued images 2006 Davide La Torre
Edward R. Vrscay
Mehran Ebrahimi
Michael F. Barnsley
+ Theory and Applications of Fractal Tops 2005 Michael F. Barnsley
+ PDF Chat A FRACTAL VALUED RANDOM ITERATION ALGORITHM AND FRACTAL HIERARCHY 2005 Michael F. Barnsley
John W. Hutchinson
Örjan Stenflo
+ Existence and Uniqueness of Orbital Measures 2005 Michael F. Barnsley
+ Fractal video compression 2003 Lyman P. Hurd
M.A. Gustavus
Michael F. Barnsley
+ V-variable fractals and superfractals 2003 Michael F. Barnsley
John Hutchinson
Örjan Stenflo
+ A Fractal Valued Random Iteration Algorithm and Fractal Hierarchy 2003 Michael F. Barnsley
John Hutchinson
Örjan Stenflo
+ Introduction to IMA Fractal Proceedings 2002 Michael F. Barnsley
+ Iterated Function Systems for Lossless Data Compression 2002 Michael F. Barnsley
+ Stationary Stochastic Processes and Fractal Data Compression 1997 Michael F. Barnsley
Anca Deliu
Ruifeng Xie
+ Fraktale Bildkompression I: IFS-Fraktale 1996 Michael F. Barnsley
Lyman P. Hurd
+ Mathematische Grundlagen der fraktalen Bildkompression I 1996 Michael F. Barnsley
Lyman P. Hurd
+ Fraktale Bildkompression II: Die Fraktaltransformation 1996 Michael F. Barnsley
Lyman P. Hurd
+ Chaotic Dynamics on Fractals 1993 Michael F. Barnsley
+ Metric Spaces; Equivalent Spaces; Classification of Subsets; and the Space of Fractals 1993 Michael F. Barnsley
+ Measures on Fractals 1993 Michael F. Barnsley
+ Fractal Interpolation 1993 Michael F. Barnsley
+ Julia Sets 1993 Michael F. Barnsley
+ Fractal Dimension 1993 Michael F. Barnsley
+ Book review 1990 Michael F. Barnsley
+ Recurrent iterated function systems 1989 Michael F. Barnsley
John H. Elton
Douglas P. Hardin
+ Hidden Variable Fractal Interpolation Functions 1989 Michael F. Barnsley
John H. Elton
Douglas P. Hardin
Peter Massopust
+ The calculus of fractal interpolation functions 1989 Michael F. Barnsley
A. N. Harrington
+ PDF Chat A Mandelbrot set whose boundary is piecewise smooth 1989 Michael F. Barnsley
Douglas P. Hardin
+ Recurrent Iterated Function Systems 1989 Michael F. Barnsley
John H. Elton
Douglas P. Hardin
+ Lecture notes on iterated function systems 1989 Michael F. Barnsley
+ Application Of Recurrent Iterated Function Systems To Images 1988 Michael F. Barnsley
A. Jacquin
+ Mixing Markov Chains and Their Images 1988 Michael F. Barnsley
Marc A. Berger
H. Meté Soner
+ Harnessing chaos for image synthesis 1988 Michael F. Barnsley
A. Jacquin
F.J. Malassenet
Laurie Reuter
Alan D. Sloan
+ Harnessing chaos for image synthesis 1988 Michael F. Barnsley
A. Jacquin
F.J. Malassenet
Laurie Reuter
Alan D. Sloan
+ A new class of markov processes for image encoding 1988 Michael F. Barnsley
John H. Elton
+ A new class of markov processes for image encoding 1988 Michael F. Barnsley
John H. Elton
+ Invariant measures for Markov processes arising from iterated function systems with place-dependent probabilities 1988 Michael F. Barnsley
Stephen Demko
John H. Elton
Jeffrey S. Geronimo
+ Fractal Image Encoding 1988 Michael F. Barnsley
John H. Elton
Alan D. Sloan
Henry Strickland
+ The Science of Fractal Images 1988 Michael F. Barnsley
Robert L. Devaney
Benoît B. Mandelbrot
Heinz‐Otto Peitgen
Dietmar Saupe
Richard F. Voss
+ Fractal Modeling of Biological Structures 1987 Michael F. Barnsley
Peter Massopust
Henry Strickland
Alan D. Sloan
+ Rendering and magnification of fractals using iterated function systems 1987 Laurie Reuter
Michael F. Barnsley
+ Fractal functions and interpolation 1986 Michael F. Barnsley
+ Solution of an inverse problem for fractals and other sets 1986 Michael F. Barnsley
Vincent J. Ervin
Douglas P. Hardin
Jill Lancaster
+ MAKING CHAOTIC DYNAMICAL SYSTEMS TO ORDER 1986 Michael F. Barnsley
+ PDF Chat Almost periodic Jacobi matrices associated with Julia sets for polynomials 1985 Michael F. Barnsley
Jeffrey S. Geronimo
A. N. Harrington
+ Iterated function systems and the global construction of fractals 1985 Michael F. Barnsley
Stephen Demko
+ A mandelbrot set for pairs of linear maps 1985 Michael F. Barnsley
A. N. Harrington
+ PDF Chat Condensed Julia sets, with an application to a fractal lattice model Hamiltonian 1985 Michael F. Barnsley
Jeffrey S. Geronimo
A. N. Harrington
+ A study of Boltzmann energy equations 1985 Michael F. Barnsley
G. Turchetti
+ Geometry and combinatorics of Julia sets of real quadratic maps 1984 Michael F. Barnsley
Jeffrey S. Geronimo
A. N. Harrington
+ Shorter Notes: Erratum to "Infinite-Dimensional Jacobi Matrices Associated with Julia Sets" 1984 Michael F. Barnsley
Jeffrey S. Geronimo
A. N. Harrington
+ PDF Chat Moments of Balanced Measures on Julia Sets 1984 Michael F. Barnsley
A. N. Harrington
+ Julia Sets and Autonomous Differential Equations 1984 Michael F. Barnsley
A. N. Harrington
+ PDF Chat Erratum to “Infinite-dimensional Jacobi matrices associated with Julia sets” [Proc. Amer. Math. Soc. 88 (1983), no. 4, 625–630; MR0702288 (85a:30040)] 1984 Michael F. Barnsley
Jeffrey S. Geronimo
A. N. Harrington
+ PDF Chat Moments of balanced measures on Julia sets 1984 Michael F. Barnsley
A. N. Harrington
+ Rational approximation of fractals 1984 Michael F. Barnsley
Stephen Demko
+ PDF Chat On the invariant sets of a family of quadratic maps 1983 Michael F. Barnsley
Jeffrey S. Geronimo
A. N. Harrington
+ PDF Chat Geometry, electrostatic measure and orthogonal polynomials on Julia sets for polynomials 1983 Michael F. Barnsley
Jeffrey S. Geronimo
A. N. Harrington
+ PDF Chat Infinite-Dimensional Jacobi Matrices Associated with Julia Sets 1983 Michael F. Barnsley
Jeffrey S. Geronimo
A. N. Harrington
+ Some tree-like Julia sets and Pad� approximants 1983 Michael F. Barnsley
Jeffrey S. Geronimo
A. N. Harrington
+ PDF Chat Infinite-dimensional Jacobi matrices associated with Julia sets 1983 Michael F. Barnsley
Jeffrey S. Geronimo
A. N. Harrington
+ Projection method for Boltzmann energy equations 1982 Michael F. Barnsley
G. Turchetti
+ PDF Chat Orthogonal polynomials associated with invariant measures on Julia sets 1982 Michael F. Barnsley
Jeffrey S. Geronimo
A. N. Harrington
+ Approximation Theory on a Snowflake 1982 Michael F. Barnsley
Jeffrey S. Geronimo
A. N. Harrington
L. D. Dager
+ Estimates and Bounds for the Doubly Perturbed Eigenvalue Problem 1982 Michael F. Barnsley
William Daniel Raddatz
+ Some operators which commute in a nonlinear Boltzmann equation 1981 Michael F. Barnsley
James V. Herod
David Mosher
Gregory B. Passty
+ Calculation of some solutions of the Bobylev-Krook-Wu and Tjon-Wu equations 1981 Michael F. Barnsley
G. Turchetti
+ The Tjon-Wu equation in Banach space settings 1981 Michael F. Barnsley
James V. Herod
Virginia V. Jory
Gregory B. Passty
+ Bounding methods in nuclear physics 1981 Michael F. Barnsley
G. Turchetti
+ General solution of a Boltzmann equation, and the formation of Maxwellian tails 1981 Michael F. Barnsley
H. Cornille
+ Analysis of Boltzmann Equations in Hilbert Space by Means of a Non-Linear Eigenvalue Property 1981 Michael F. Barnsley
James V. Herod
David Mosher
Gregory B. Passty
+ Bounds for the Linearly Perturbed Eigenvalue Problem 1981 Michael F. Barnsley
+ New Results on the Nonlinear Boltzmann Equation 1980 Michael F. Barnsley
G. Turchetti
+ Parameter dependence of solutions of classes of quasi-linear elliptic and parabolic differential equations 1980 Michael F. Barnsley
+ Generalized Padé resummation of the solution of a nonlinear Boltzmann equation 1979 Michael F. Barnsley
G. Turchetti
+ Constructive methods based on analytic characterizations and their application to nonlinear elliptic and parabolic differential equations 1979 Michael F. Barnsley
D. Bessis
+ The Diophantine moment problem and the analytic structure in the activity of the ferromagnetic Ising model 1979 Michael F. Barnsley
D. Bessis
Pierre Moussa
+ Pointwise Bivariational Bounds on Solutions of Fredholm Integral Equations 1979 Peter Robinson
Michael F. Barnsley
+ On the approximation of potential‐energy functions for two‐center systems 1978 Michael F. Barnsley
Jacques G. Aguilar
+ Rational Approximant Bounds for a Class of Two-Variable Stieltjes Functions 1978 Michael F. Barnsley
Peter Robinson
+ Padé approximant bounds on the positive solutions of some nonlinear elliptic equations 1978 Michael F. Barnsley
D. Bessis
+ Bivariational bounds on solutions of two-point boundary-value problems 1976 Michael F. Barnsley
Peter Robinson
+ Bivariational bounds in a complex Hilbert space, and correction terms for Padé approximants 1976 Michael F. Barnsley
George A. Baker
+ Padé approximant bounds for the difference of two series of Stieltjes 1976 Michael F. Barnsley
+ Bivariational bounds on 〈g,φ〉 for non-linear problems Fφ=O 1976 Michael F. Barnsley
Peter Robinson
+ 9.—Bivariational Bounds associated with Non-self-adjoint Linear Operators 1976 Michael F. Barnsley
Peter Robinson
+ New variational bounds on expectation values (in quantum mechanics) 1975 Michael F. Barnsley
Peter Robinson
+ New variational bounds on expectation values 1975 Michael F. Barnsley
Peter Robinson
+ Pointwise bounds for eigenfunctions of one-electron systems 1975 Michael F. Barnsley
+ Variational bounds on overlaps (in Hilbert space) 1975 Michael F. Barnsley
Peter Robinson
+ Correction terms for Padé approximants 1975 Michael F. Barnsley
+ Bivariational bounds 1974 Michael F. Barnsley
Peter Robinson
+ PDF Chat The bounding properties of the multipoint Padé approximant to a series of Stieltjes 1974 Michael F. Barnsley
+ Padé-approximant Bounds and Approximate Solutions for Kirkwood-Riseman Integral Equations 1974 Michael F. Barnsley
Peter Robinson
+ Dual Variational Principles and Padé-type Approximants 1974 Michael F. Barnsley
Peter Robinson
+ Bivariational bounds on 〈ϕ,g〉, when Aϕ=f 1974 Michael F. Barnsley
Peter Robinson
+ The bounding properties of the multipoint Padé approximant to a series of Stieltjes on the real line 1973 Michael F. Barnsley
+ A variational approach to the theory of multipoint Padé approximants 1973 Saul T. Epstein
Michael F. Barnsley
+ PDF Chat Sum Rule Functions 1971 Michael F. Barnsley
Common Coauthors
Commonly Cited References
Action Title Year Authors # of times referenced
+ Iterated function systems and the global construction of fractals 1985 Michael F. Barnsley
Stephen Demko
46
+ Fractal functions and interpolation 1986 Michael F. Barnsley
25
+ PDF Chat The chaos game on a general iterated function system 2010 Michael F. Barnsley
Andrew Vince
20
+ <i>The Fractal Geometry of Nature</i> 1983 Benoît B. Mandelbrot
John Wheeler
20
+ Transformations between Self-Referential Sets 2009 Michael F. Barnsley
19
+ PDF Chat An ergodic theorem for iterated maps 1987 John H. Elton
18
+ PDF Chat Invariant sets under iteration of rational functions 1965 Hans Brolin
15
+ PDF Chat Real Projective Iterated Function Systems 2011 Michael F. Barnsley
Andrew Vince
14
+ PDF Chat Orthogonal polynomials associated with invariant measures on Julia sets 1982 Michael F. Barnsley
Jeffrey S. Geronimo
A. N. Harrington
14
+ PDF Chat Fractal Image Compression 1997 M. J. Barnsley
Lester C. Barnsley
13
+ PDF Chat Symbolic dynamics and transformations of the unit interval 1966 William Parry
13
+ On the structure of self-similar sets 1985 Masayoshi Hata
13
+ Solution of an inverse problem for fractals and other sets 1986 Michael F. Barnsley
Vincent J. Ervin
Douglas P. Hardin
Jill Lancaster
12
+ PDF Chat Fractal Tilings from Iterated Function Systems 2014 Michael F. Barnsley
Andrew Vince
12
+ PDF Chat Fractal Geometry: Mathematical Foundations and Applications. 1990 K. J. Falconer
11
+ PDF Chat Sur les équations fonctionnelles 1920 P. Fatou
11
+ Theory and Applications of Fractal Tops 2005 Michael F. Barnsley
10
+ PDF Chat On the invariant sets of a family of quadratic maps 1983 Michael F. Barnsley
Jeffrey S. Geronimo
A. N. Harrington
10
+ Stability and invariance of multivalued iterated function systems 2003 Krzysztof Leśniak
10
+ PDF Chat The construction of self-similar tilings 1996 Richard Kenyon
10
+ Orthogonal polynomials on a family of Cantor sets and the problem of iterations of quadratic mappings 1982 D. Bessis
M. L. Mehta
Pierre Moussa
9
+ V-variable fractals: Fractals with partial self similarity 2008 Michael F. Barnsley
John Hutchinson
Örjan Stenflo
9
+ PDF Chat Conley decomposition for closed relations 2005 Richard McGehee
Tamas Wiandt
9
+ PDF Chat How to Transform and Filter Images Using Iterated Function Systems 2011 Michael F. Barnsley
Brendan Harding
Konstantin Igudesman
9
+ Möbius iterated function systems 2012 Andrew Vince
9
+ The Padé approximant in theoretical physics 1970 George A. Baker
John L. Gammel
9
+ Self-Similar Polygonal Tiling 2017 Michael F. Barnsley
Andrew Vince
8
+ PDF Chat Infinite-dimensional Jacobi matrices associated with Julia sets 1983 Michael F. Barnsley
Jeffrey S. Geronimo
A. N. Harrington
8
+ Dimension and Dynamics for Fractal Recurrent Sets 1986 Tim Bedford
8
+ Some Recent Progress Concerning Topology of Fractals 2013 Michael F. Barnsley
David Wilson
Krzysztof Leśniak
8
+ Graph Directed Markov Systems: Geometry and Dynamics of Limit Sets 2009 R. Daniel Mauldin
Mariusz Urbański
8
+ PDF Chat Developments in fractal geometry 2013 Michael F. Barnsley
Andrew Vince
8
+ PDF Chat Fractal homeomorphism for bi-affine iterated function systems 2013 Michael F. Barnsley
Andrew Vince
8
+ Iterated Maps on the Interval as Dynamical Systems 2009 Pierre Collet
Jean-Pierre Eckmann
8
+ PDF Chat Geometry, electrostatic measure and orthogonal polynomials on Julia sets for polynomials 1983 Michael F. Barnsley
Jeffrey S. Geronimo
A. N. Harrington
8
+ The Fractal Geometry of Nature 1982 Benoît B. Mandelbrot
Paul Longley
7
+ PDF Chat Some connections between ergodic theory and the iteration of polynomials 1969 T. S. Pitcher
John R. Kinney
7
+ Interpolation and Approximation with Splines and Fractals 2010 Peter Massopust
7
+ PDF Chat Sur les équations fonctionnelles 1919 P. Fatou
7
+ Uniqueness of Invariant Measures for Place-Dependent Random Iterations of Functions 2002 Örjan Stenflo
7
+ The calculus of fractal interpolation functions 1989 Michael F. Barnsley
A. N. Harrington
7
+ Quantitative universality for a class of nonlinear transformations 1978 Mitchell J. Feigenbaum
7
+ Hausdorff dimension in graph directed constructions 1988 R. Daniel Mauldin
Stanley C. Williams
7
+ Mémoire sur l'itération des fonctions rationnelles 1918 Gastón Julia
7
+ The capacity for a class of fractal functions 1986 Douglas P. Hardin
Peter Massopust
7
+ PDF Chat Random recursive constructions: asymptotic geometric and topological properties 1986 R. Daniel Mauldin
S. C. Williams
7
+ Dynamics of self-similar tilings 1997 Boris Solomyak
7
+ PDF Chat Moments of balanced measures on Julia sets 1984 Michael F. Barnsley
A. N. Harrington
7
+ PDF Chat Fast Basins and Branched Fractal Manifolds of Attractors of Iterated Function Systems 2015 Michael F. Barnsley
Andrew Vince
7
+ A new class of markov processes for image encoding 1988 Michael F. Barnsley
John H. Elton
7