Leśniak, Krzysztof; Snigireva, Nina; Strobin, Filip; Vince, Andrew Transition phenomena for the attractor of an iterated function system. (English) Zbl 1512.28009 Nonlinearity 35, No. 10, 5396-5426 (2022). MSC: 28A80 PDFBibTeX XMLCite \textit{K. Leśniak} et al., Nonlinearity 35, No. 10, 5396--5426 (2022; Zbl 1512.28009) Full Text: DOI arXiv
Barnsley, Michael; Vince, Andrew Tilings from graph directed iterated function systems. (English) Zbl 1467.28006 Geom. Dedicata 212, 299-324 (2021). MSC: 28A80 05B45 52C22 PDFBibTeX XMLCite \textit{M. Barnsley} and \textit{A. Vince}, Geom. Dedicata 212, 299--324 (2021; Zbl 1467.28006) Full Text: DOI arXiv
Vince, Andrew Thresholds for one-parameter families of affine iterated function systems. (English) Zbl 1454.28014 Nonlinearity 33, No. 12, 6541-6563 (2020). Reviewer: Peter Massopust (München) MSC: 28A80 PDFBibTeX XMLCite \textit{A. Vince}, Nonlinearity 33, No. 12, 6541--6563 (2020; Zbl 1454.28014) Full Text: DOI arXiv
Barnsley, M. F.; Vince, A. Self-similar tilings of fractal blow-ups. (English) Zbl 1427.52014 Niemeyer, Robert G. (ed.) et al., Horizons of fractal geometry and complex dimensions. 2016 summer school on fractal geometry and complex dimensions, in celebration of the 60th birthday of Michel Lapidus, California Polytechnic State University, San Luis Obispo, California, USA, June 21–29, 2016. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 731, 41-62 (2019). MSC: 52C22 37B51 PDFBibTeX XMLCite \textit{M. F. Barnsley} and \textit{A. Vince}, Contemp. Math. 731, 41--62 (2019; Zbl 1427.52014) Full Text: DOI arXiv
Vince, Andrew Global fractal transformations and global addressing. (English) Zbl 1403.28011 J. Fractal Geom. 5, No. 4, 387-418 (2018). Reviewer: George Stoica (Saint John) MSC: 28A80 05B45 52C22 PDFBibTeX XMLCite \textit{A. Vince}, J. Fractal Geom. 5, No. 4, 387--418 (2018; Zbl 1403.28011) Full Text: DOI
Vince, Andrew; Barnsley, Michael Self-similar polygonal tiling: extended abstract. (English) Zbl 1404.05025 Garijo, Delia (ed.) et al., Discrete mathematics days 2018. Extended abstracts of the 11th “Jornadas de matemática discreta y algorítmica” (JMDA), Sevilla, Spain, June 27–29, 2018. Amsterdam: Elsevier. Electronic Notes in Discrete Mathematics 68, 5-10 (2018). Reviewer: Horst Martini (Chemnitz) MSC: 05B45 05C05 52C20 68R10 PDFBibTeX XMLCite \textit{A. Vince} and \textit{M. Barnsley}, Electron. Notes Discrete Math. 68, 5--10 (2018; Zbl 1404.05025) Full Text: DOI
Barnsley, Michael; Vince, Andrew Self-similar polygonal tiling. (English) Zbl 1391.52026 Am. Math. Mon. 124, No. 10, 905-921 (2017). MSC: 52C20 05B45 PDFBibTeX XMLCite \textit{M. Barnsley} and \textit{A. Vince}, Am. Math. Mon. 124, No. 10, 905--921 (2017; Zbl 1391.52026) Full Text: DOI arXiv
Bandt, Christoph; Barnsley, Michael; Hegland, Markus; Vince, Andrew Old wine in fractal bottles. I: Orthogonal expansions on self-referential spaces via fractal transformations. (English) Zbl 1372.28006 Chaos Solitons Fractals 91, 478-489 (2016). MSC: 28A80 42B05 94A08 PDFBibTeX XMLCite \textit{C. Bandt} et al., Chaos Solitons Fractals 91, 478--489 (2016; Zbl 1372.28006) Full Text: DOI
Barnsley, M. F.; Harding, B.; Vince, A.; Viswanathan, P. Approximation of rough functions. (English) Zbl 1350.26003 J. Approx. Theory 209, 23-43 (2016). Reviewer: Zoltán Finta (Cluj-Napoca) MSC: 26A15 26A18 26A27 42A38 PDFBibTeX XMLCite \textit{M. F. Barnsley} et al., J. Approx. Theory 209, 23--43 (2016; Zbl 1350.26003) Full Text: DOI arXiv
Barnsley, Michael; Steiner, Wolfgang; Vince, Andrew Critical itineraries of maps with constant slope and one discontinuity. (English) Zbl 1376.37031 Math. Proc. Camb. Philos. Soc. 157, No. 3, 547-465 (2014). MSC: 37B10 26A18 37B15 PDFBibTeX XMLCite \textit{M. Barnsley} et al., Math. Proc. Camb. Philos. Soc. 157, No. 3, 547--465 (2014; Zbl 1376.37031) Full Text: DOI
Vince, A. A combinatorial approach to binary positional number systems. (English) Zbl 1324.11051 Acta Math. Hung. 143, No. 1, 138-158 (2014). Reviewer: Florian Luca (Morelia) MSC: 11K16 37E05 26C10 05B99 PDFBibTeX XMLCite \textit{A. Vince}, Acta Math. Hung. 143, No. 1, 138--158 (2014; Zbl 1324.11051) Full Text: DOI
Barnsley, Michael; Vince, Andrew Fractal tilings from iterated function systems. (English) Zbl 1336.28006 Discrete Comput. Geom. 51, No. 3, 729-752 (2014). Reviewer: Nicolae-Adrian Secelean (Sibiu) MSC: 28A80 05B45 52C22 PDFBibTeX XMLCite \textit{M. Barnsley} and \textit{A. Vince}, Discrete Comput. Geom. 51, No. 3, 729--752 (2014; Zbl 1336.28006) Full Text: DOI
Barnsley, Michael; Harding, Brendan; Vince, Andrew The entropy of a special overlapping dynamical system. (English) Zbl 1290.37017 Ergodic Theory Dyn. Syst. 34, No. 2, 483-500 (2014). Reviewer: Steve Pederson (Atlanta) MSC: 37E05 37B40 PDFBibTeX XMLCite \textit{M. Barnsley} et al., Ergodic Theory Dyn. Syst. 34, No. 2, 483--500 (2014; Zbl 1290.37017) Full Text: DOI arXiv
Barnsley, Michael F.; Vince, Andrew The Conley attractors of an iterated function system. (English) Zbl 1417.37080 Bull. Aust. Math. Soc. 88, No. 2, 267-279 (2013). MSC: 37B30 37C70 54H20 PDFBibTeX XMLCite \textit{M. F. Barnsley} and \textit{A. Vince}, Bull. Aust. Math. Soc. 88, No. 2, 267--279 (2013; Zbl 1417.37080) Full Text: DOI arXiv
Barnsley, Michael F.; Vince, Andrew Fractal continuation. (English) Zbl 1279.28013 Constr. Approx. 38, No. 2, 311-337 (2013). Reviewer: Peter Massopust (München) MSC: 28A80 26A30 26E05 41A05 PDFBibTeX XMLCite \textit{M. F. Barnsley} and \textit{A. Vince}, Constr. Approx. 38, No. 2, 311--337 (2013; Zbl 1279.28013) Full Text: DOI arXiv
Barnsley, Michael; Vince, Andrew Developments in fractal geometry. (English) Zbl 1275.28006 Bull. Math. Sci. 3, No. 2, 299-348 (2013). MSC: 28A80 PDFBibTeX XMLCite \textit{M. Barnsley} and \textit{A. Vince}, Bull. Math. Sci. 3, No. 2, 299--348 (2013; Zbl 1275.28006) Full Text: DOI arXiv
Vince, Andrew Möbius iterated function systems. (English) Zbl 1286.28009 Trans. Am. Math. Soc. 365, No. 1, 491-509 (2013). Reviewer: José-Manuel Rey (Madrid) MSC: 28A80 PDFBibTeX XMLCite \textit{A. Vince}, Trans. Am. Math. Soc. 365, No. 1, 491--509 (2013; Zbl 1286.28009) Full Text: DOI
Barnsley, Michael F.; Vince, Andrew Real projective iterated function systems. (English) Zbl 1256.28002 J. Geom. Anal. 22, No. 4, 1137-1172 (2012). MSC: 28A80 PDFBibTeX XMLCite \textit{M. F. Barnsley} and \textit{A. Vince}, J. Geom. Anal. 22, No. 4, 1137--1172 (2012; Zbl 1256.28002) Full Text: DOI arXiv
Barnsley, Michael F.; Vince, Andrew The chaos game on a general iterated function system. (English) Zbl 1221.37079 Ergodic Theory Dyn. Syst. 31, No. 4, 1073-1079 (2011). Reviewer: George Stoica (Saint John) MSC: 37D99 28A78 PDFBibTeX XMLCite \textit{M. F. Barnsley} and \textit{A. Vince}, Ergodic Theory Dyn. Syst. 31, No. 4, 1073--1079 (2011; Zbl 1221.37079) Full Text: DOI arXiv
Vince, Andrew Rep-tiling Euclidean space. (English) Zbl 0832.52005 Aequationes Math. 50, No. 1-2, 191-213 (1995). Reviewer: P.Schmitt (Wien) MSC: 52C20 52C22 11A63 52-02 28A80 PDFBibTeX XMLCite \textit{A. Vince}, Aequationes Math. 50, No. 1--2, 191--213 (1995; Zbl 0832.52005) Full Text: DOI EuDML