Ahn, Min Woong On the error-sum function of pierce expansions. (English) Zbl 1527.28003 J. Fractal Geom. 10, No. 3-4, 389-421 (2023). MSC: 28A80 11K55 26A18 33E20 41A58 PDFBibTeX XMLCite \textit{M. W. Ahn}, J. Fractal Geom. 10, No. 3--4, 389--421 (2023; Zbl 1527.28003) Full Text: DOI arXiv
Hare, Kathryn E.; Mendivil, Franklin Assouad-like dimensions of a class of random Moran measures. II: Non-homogeneous Moran sets. (English) Zbl 07754870 J. Fractal Geom. 10, No. 3-4, 351-388 (2023). MSC: 28A80 28C15 60G57 PDFBibTeX XMLCite \textit{K. E. Hare} and \textit{F. Mendivil}, J. Fractal Geom. 10, No. 3--4, 351--388 (2023; Zbl 07754870) Full Text: DOI arXiv
Maruyama, Takashi; Seto, Tatsuki A combinatorial Fredholm module on self-similar sets built on \(n\)-cubes. (English) Zbl 07754868 J. Fractal Geom. 10, No. 3-4, 303-332 (2023). MSC: 46L87 28A80 PDFBibTeX XMLCite \textit{T. Maruyama} and \textit{T. Seto}, J. Fractal Geom. 10, No. 3--4, 303--332 (2023; Zbl 07754868) Full Text: DOI arXiv
Jiang, Lai; Ruan, Huo-Jun Box dimension of generalized affine fractal interpolation functions. (English) Zbl 07754867 J. Fractal Geom. 10, No. 3-4, 279-302 (2023). Reviewer: Peter Massopust (München) MSC: 28A80 41A30 PDFBibTeX XMLCite \textit{L. Jiang} and \textit{H.-J. Ruan}, J. Fractal Geom. 10, No. 3--4, 279--302 (2023; Zbl 07754867) Full Text: DOI arXiv
Bartlett, Thomas; Fraser, Jonathan M. Dimensions of Kleinian orbital sets. (English) Zbl 07754866 J. Fractal Geom. 10, No. 3-4, 267-278 (2023). MSC: 37F32 30F40 28A78 28A80 11J72 PDFBibTeX XMLCite \textit{T. Bartlett} and \textit{J. M. Fraser}, J. Fractal Geom. 10, No. 3--4, 267--278 (2023; Zbl 07754866) Full Text: DOI arXiv
Baker, Simon; Zou, Yuru Metric results for numbers with multiple \(q\)-expansions. (English) Zbl 07754865 J. Fractal Geom. 10, No. 3-4, 243-266 (2023). Reviewer: Wolfgang Steiner (Paris) MSC: 11K55 11A63 28A80 37B10 PDFBibTeX XMLCite \textit{S. Baker} and \textit{Y. Zou}, J. Fractal Geom. 10, No. 3--4, 243--266 (2023; Zbl 07754865) Full Text: DOI arXiv
Ngai, Sze-Man; Tang, Wei Schrödinger equations defined by a class of self-similar measures. (English) Zbl 07754864 J. Fractal Geom. 10, No. 3-4, 209-241 (2023). MSC: 28A80 35Q41 74S05 65L60 65L20 PDFBibTeX XMLCite \textit{S.-M. Ngai} and \textit{W. Tang}, J. Fractal Geom. 10, No. 3--4, 209--241 (2023; Zbl 07754864) Full Text: DOI
Käenmäki, Antti; Orponen, Tuomas Absolute continuity in families of parametrised non-homogeneous self-similar measures. (English) Zbl 07754863 J. Fractal Geom. 10, No. 1-2, 169-207 (2023). MSC: 28A80 28A78 42A38 PDFBibTeX XMLCite \textit{A. Käenmäki} and \textit{T. Orponen}, J. Fractal Geom. 10, No. 1--2, 169--207 (2023; Zbl 07754863) Full Text: DOI arXiv
Banaji, Amlan; Chen, Haipeng Dimensions of popcorn-like pyramid sets. (English) Zbl 07754862 J. Fractal Geom. 10, No. 1-2, 151-168 (2023). MSC: 28A80 11B57 PDFBibTeX XMLCite \textit{A. Banaji} and \textit{H. Chen}, J. Fractal Geom. 10, No. 1--2, 151--168 (2023; Zbl 07754862) Full Text: DOI arXiv
Ferrer, Giovanni; Vélez-Santiago, Alejandro 3D Koch-type crystals. (English) Zbl 1527.28006 J. Fractal Geom. 10, No. 1-2, 109-149 (2023). MSC: 28A80 28A78 37F35 PDFBibTeX XMLCite \textit{G. Ferrer} and \textit{A. Vélez-Santiago}, J. Fractal Geom. 10, No. 1--2, 109--149 (2023; Zbl 1527.28006) Full Text: DOI arXiv
David, Claire; Lebeau, Gilles \(h\)-Laplacians on singular sets. (English) Zbl 07754860 J. Fractal Geom. 10, No. 1-2, 61-108 (2023). MSC: 28A80 35R02 PDFBibTeX XMLCite \textit{C. David} and \textit{G. Lebeau}, J. Fractal Geom. 10, No. 1--2, 61--108 (2023; Zbl 07754860) Full Text: DOI
Mosquera, Carolina A.; Olivo, Andrea Fourier decay behavior of homogeneous self-similar measures on the complex plane. (English) Zbl 07754859 J. Fractal Geom. 10, No. 1-2, 43-60 (2023). MSC: 28A78 28A80 PDFBibTeX XMLCite \textit{C. A. Mosquera} and \textit{A. Olivo}, J. Fractal Geom. 10, No. 1--2, 43--60 (2023; Zbl 07754859) Full Text: DOI arXiv
Rataj, Jan; Winter, Steffen; Zähle, Martina Mean Lipschitz-Killing curvatures for homogeneous random fractals. (English) Zbl 07754858 J. Fractal Geom. 10, No. 1-2, 1-42 (2023). MSC: 28A80 28A75 53C65 60D05 60G57 PDFBibTeX XMLCite \textit{J. Rataj} et al., J. Fractal Geom. 10, No. 1--2, 1--42 (2023; Zbl 07754858) Full Text: DOI arXiv
Ruiz, Patricia Alonso; Baudoin, Fabrice Oscillations of BV measures on unbounded nested fractals. (English) Zbl 1528.26019 J. Fractal Geom. 9, No. 3-4, 373-396 (2022). MSC: 26B30 28A80 31E05 PDFBibTeX XMLCite \textit{P. A. Ruiz} and \textit{F. Baudoin}, J. Fractal Geom. 9, No. 3--4, 373--396 (2022; Zbl 1528.26019) Full Text: DOI arXiv
García, Gonzalo; Mora, Gaspar Iterated function systems based on the degree of nondensifiability. (English) Zbl 1528.28020 J. Fractal Geom. 9, No. 3-4, 357-372 (2022). MSC: 28A80 47H09 47H10 60F17 PDFBibTeX XMLCite \textit{G. García} and \textit{G. Mora}, J. Fractal Geom. 9, No. 3--4, 357--372 (2022; Zbl 1528.28020) Full Text: DOI
Miculescu, Radu; Mihail, Alexandru; Pacurar, Cristina Maria A fractal interpolation scheme for a possible sizeable set of data. (English) Zbl 07714301 J. Fractal Geom. 9, No. 3-4, 337-355 (2022). MSC: 28A80 26A33 41A05 41A30 PDFBibTeX XMLCite \textit{R. Miculescu} et al., J. Fractal Geom. 9, No. 3--4, 337--355 (2022; Zbl 07714301) Full Text: DOI
Mundey, Alexander A closed graph theorem for hyperbolic iterated function systems. (English) Zbl 1523.37017 J. Fractal Geom. 9, No. 3-4, 325-336 (2022). MSC: 37B02 37B20 37B35 28A80 PDFBibTeX XMLCite \textit{A. Mundey}, J. Fractal Geom. 9, No. 3--4, 325--336 (2022; Zbl 1523.37017) Full Text: DOI arXiv
Ri, Song-Il; Drakopoulos, Vasileios; Nam, Song-Min; Kim, Kyong-Mi Nonlinear fractal interpolation functions on the Koch curve. (English) Zbl 07714298 J. Fractal Geom. 9, No. 3-4, 261-271 (2022). MSC: 28A80 37C45 65D05 PDFBibTeX XMLCite \textit{S.-I. Ri} et al., J. Fractal Geom. 9, No. 3--4, 261--271 (2022; Zbl 07714298) Full Text: DOI
Siu, Chunyin; Strichartz, Robert S. Geometry and Laplacian on discrete magic carpets. (English) Zbl 07714297 J. Fractal Geom. 9, No. 3-4, 207-260 (2022). MSC: 28A80 PDFBibTeX XMLCite \textit{C. Siu} and \textit{R. S. Strichartz}, J. Fractal Geom. 9, No. 3--4, 207--260 (2022; Zbl 07714297) Full Text: DOI arXiv
Solomyak, Boris Fourier decay for homogeneous self-affine measures. (English) Zbl 1509.28011 J. Fractal Geom. 9, No. 1-2, 193-206 (2022). MSC: 28A80 42A38 PDFBibTeX XMLCite \textit{B. Solomyak}, J. Fractal Geom. 9, No. 1--2, 193--206 (2022; Zbl 1509.28011) Full Text: DOI arXiv
Ishii, Yutaka; Oka, Tatsuya On the Hausdorff dimension of the recurrent sets induced from endomorphisms of free groups. (English) Zbl 1509.28009 J. Fractal Geom. 9, No. 1-2, 171-192 (2022). MSC: 28A80 11K55 PDFBibTeX XMLCite \textit{Y. Ishii} and \textit{T. Oka}, J. Fractal Geom. 9, No. 1--2, 171--192 (2022; Zbl 1509.28009) Full Text: DOI
Kolossváry, István An upper bound for the intermediate dimensions of Bedford-McMullen carpets. (English) Zbl 1511.28006 J. Fractal Geom. 9, No. 1-2, 151-169 (2022). Reviewer: Symon Serbenyuk (Kyïv) MSC: 28A80 28A78 37C45 PDFBibTeX XMLCite \textit{I. Kolossváry}, J. Fractal Geom. 9, No. 1--2, 151--169 (2022; Zbl 1511.28006) Full Text: DOI arXiv
Takahashi, Yuki Invariant measures for iterated function systems with inverses. (English) Zbl 1515.28016 J. Fractal Geom. 9, No. 1-2, 129-149 (2022). Reviewer: Wen-hui Ai (Changsha) MSC: 28A80 37D20 PDFBibTeX XMLCite \textit{Y. Takahashi}, J. Fractal Geom. 9, No. 1--2, 129--149 (2022; Zbl 1515.28016) Full Text: DOI
Das, Tushar; Simmons, David On the dimension spectra of infinite conformal iterated function systems. (English) Zbl 1503.37042 J. Fractal Geom. 9, No. 1-2, 73-87 (2022). MSC: 37C45 37D35 28A80 37B10 PDFBibTeX XMLCite \textit{T. Das} and \textit{D. Simmons}, J. Fractal Geom. 9, No. 1--2, 73--87 (2022; Zbl 1503.37042) Full Text: DOI arXiv
Ishiki, Yoshito A characterization of metric subspaces of full Assouad dimension. (English) Zbl 1485.28008 J. Fractal Geom. 8, No. 4, 363-388 (2021). MSC: 28A78 28A80 53C23 PDFBibTeX XMLCite \textit{Y. Ishiki}, J. Fractal Geom. 8, No. 4, 363--388 (2021; Zbl 1485.28008) Full Text: DOI arXiv
Voiculescu, Dan-Virgil The formula for the quasicentral modulus in the case of spectral measures on fractals. (English) Zbl 1492.47022 J. Fractal Geom. 8, No. 4, 347-361 (2021). MSC: 47A55 28A78 28A80 47B10 47A13 PDFBibTeX XMLCite \textit{D.-V. Voiculescu}, J. Fractal Geom. 8, No. 4, 347--361 (2021; Zbl 1492.47022) Full Text: DOI arXiv
Kawamura, Kiko; Allen, Andrew Revolving fractals. (English) Zbl 1485.28013 J. Fractal Geom. 8, No. 3, 289-304 (2021). MSC: 28A80 37B10 PDFBibTeX XMLCite \textit{K. Kawamura} and \textit{A. Allen}, J. Fractal Geom. 8, No. 3, 289--304 (2021; Zbl 1485.28013) Full Text: DOI arXiv
Liang, Zhen; Ruan, Huo-Jun Construction and box dimension of recurrent fractal interpolation surfaces. (English) Zbl 1485.28015 J. Fractal Geom. 8, No. 3, 261-288 (2021). Reviewer: Peter Massopust (München) MSC: 28A80 41A30 PDFBibTeX XMLCite \textit{Z. Liang} and \textit{H.-J. Ruan}, J. Fractal Geom. 8, No. 3, 261--288 (2021; Zbl 1485.28015) Full Text: DOI arXiv
Falconer, Kenneth J.; Fraser, Jonathan M.; Shmerkin, Pablo Assouad dimension influences the box and packing dimensions of orthogonal projections. (English) Zbl 1493.28012 J. Fractal Geom. 8, No. 3, 247-259 (2021). Reviewer: Sylvester Eriksson-Bique (Oulu) MSC: 28A80 28A78 PDFBibTeX XMLCite \textit{K. J. Falconer} et al., J. Fractal Geom. 8, No. 3, 247--259 (2021; Zbl 1493.28012) Full Text: DOI arXiv
García, Ignacio; Hare, Kathryn E.; Mendivil, Franklin Intermediate Assouad-like dimensions. (English) Zbl 1485.28006 J. Fractal Geom. 8, No. 3, 201-245 (2021). MSC: 28A78 28A80 PDFBibTeX XMLCite \textit{I. García} et al., J. Fractal Geom. 8, No. 3, 201--245 (2021; Zbl 1485.28006) Full Text: DOI arXiv
Davis, Caitlin M.; Legare, Laura A.; McCartan, Cory W.; Rogers, Luke G. Geodesic interpolation on Sierpiński gaskets. (English) Zbl 1470.28008 J. Fractal Geom. 8, No. 2, 117-152 (2021). MSC: 28A80 05C12 26D15 30L05 49Q22 PDFBibTeX XMLCite \textit{C. M. Davis} et al., J. Fractal Geom. 8, No. 2, 117--152 (2021; Zbl 1470.28008) Full Text: DOI arXiv
Burrell, Stuart A.; Falconer, Kenneth J.; Fraser, Jonathan M. Projection theorems for intermediate dimensions. (English) Zbl 1470.28007 J. Fractal Geom. 8, No. 2, 95-116 (2021). Reviewer: Peter Massopust (München) MSC: 28A80 PDFBibTeX XMLCite \textit{S. A. Burrell} et al., J. Fractal Geom. 8, No. 2, 95--116 (2021; Zbl 1470.28007) Full Text: DOI arXiv
Akiyama, Shigeki; Loridant, Benoît; Thuswaldner, Jörg Topology of planar self-affine tiles with collinear digit set. (English) Zbl 1470.28005 J. Fractal Geom. 8, No. 1, 53-93 (2021). Reviewer: Wen-hui Ai (Changsha) MSC: 28A80 52C20 54D05 PDFBibTeX XMLCite \textit{S. Akiyama} et al., J. Fractal Geom. 8, No. 1, 53--93 (2021; Zbl 1470.28005) Full Text: DOI arXiv
Shmerkin, Pablo Improved bounds for the dimensions of planar distance sets. (English) Zbl 1467.28004 J. Fractal Geom. 8, No. 1, 27-51 (2021). MSC: 28A75 28A80 49Q15 PDFBibTeX XMLCite \textit{P. Shmerkin}, J. Fractal Geom. 8, No. 1, 27--51 (2021; Zbl 1467.28004) Full Text: DOI arXiv
Falconer, Kenneth J. A capacity approach to box and packing dimensions of projections of sets and exceptional directions. (English) Zbl 1473.28007 J. Fractal Geom. 8, No. 1, 1-26 (2021). Reviewer: Denis R. Bell (Jacksonville) MSC: 28A80 28A12 PDFBibTeX XMLCite \textit{K. J. Falconer}, J. Fractal Geom. 8, No. 1, 1--26 (2021; Zbl 1473.28007) Full Text: DOI arXiv
Loring, Christian; Ogden, W. Jacob; Sandine, Ely; Strichartz, Robert S. Polynomials on the Sierpiński gasket with respect to different Laplacians which are symmetric and self-similar. (English) Zbl 1455.28010 J. Fractal Geom. 7, No. 4, 387-444 (2020). Reviewer: George Stoica (Saint John) MSC: 28A80 PDFBibTeX XMLCite \textit{C. Loring} et al., J. Fractal Geom. 7, No. 4, 387--444 (2020; Zbl 1455.28010) Full Text: DOI arXiv
Banakh, Taras; Nowak, Magdalena; Strobin, Filip Embedding fractals in Banach, Hilbert or Euclidean spaces. (English) Zbl 1455.28004 J. Fractal Geom. 7, No. 4, 351-386 (2020). Reviewer: George Stoica (Saint John) MSC: 28A80 37C25 37C70 PDFBibTeX XMLCite \textit{T. Banakh} et al., J. Fractal Geom. 7, No. 4, 351--386 (2020; Zbl 1455.28004) Full Text: DOI arXiv
Saito, Kota Construction of a one-dimensional set which asymptotically and omnidirectionally contains arithmetic progressions. (English) Zbl 1455.28012 J. Fractal Geom. 7, No. 4, 319-327 (2020). Reviewer: Symon Serbenyuk (Kyïv) MSC: 28A80 11B25 PDFBibTeX XMLCite \textit{K. Saito}, J. Fractal Geom. 7, No. 4, 319--327 (2020; Zbl 1455.28012) Full Text: DOI arXiv
He, Weikun Orthogonal projections of discretized sets. (English) Zbl 1455.28007 J. Fractal Geom. 7, No. 3, 271-317 (2020). Reviewer: Symon Serbenyuk (Kyïv) MSC: 28A80 11B30 PDFBibTeX XMLCite \textit{W. He}, J. Fractal Geom. 7, No. 3, 271--317 (2020; Zbl 1455.28007) Full Text: DOI arXiv
Hare, Kathryn E.; Hare, Kevin G.; Troscheit, Sascha Quasi-doubling of self-similar measures with overlaps. (English) Zbl 1455.28006 J. Fractal Geom. 7, No. 3, 233-270 (2020). MSC: 28A80 28C15 37C45 PDFBibTeX XMLCite \textit{K. E. Hare} et al., J. Fractal Geom. 7, No. 3, 233--270 (2020; Zbl 1455.28006) Full Text: DOI arXiv
Strobin, Filip; Swaczyna, Jaroslaw Connectedness of attractors of a certain family of IFSs. (English) Zbl 1458.28005 J. Fractal Geom. 7, No. 3, 219-231 (2020). Reviewer: Wen-hui Ai (Changsha) MSC: 28A80 37C25 37C70 54E52 PDFBibTeX XMLCite \textit{F. Strobin} and \textit{J. Swaczyna}, J. Fractal Geom. 7, No. 3, 219--231 (2020; Zbl 1458.28005) Full Text: DOI arXiv
Cristea, Ligia L.; Leobacher, Gunther Supermixed labyrinth fractals. (English) Zbl 1445.28007 J. Fractal Geom. 7, No. 2, 183-218 (2020). Reviewer: Symon Serbenyuk (Kyiv) MSC: 28A80 05C05 05C38 28A75 51M25 54D05 54F50 PDFBibTeX XMLCite \textit{L. L. Cristea} and \textit{G. Leobacher}, J. Fractal Geom. 7, No. 2, 183--218 (2020; Zbl 1445.28007) Full Text: DOI arXiv
Hinz, Michael; Meinert, Melissa On the viscous Burgers equation on metric graphs and fractals. (English) Zbl 1445.35292 J. Fractal Geom. 7, No. 2, 137-182 (2020). MSC: 35R02 35K58 28A80 47A07 47B25 PDFBibTeX XMLCite \textit{M. Hinz} and \textit{M. Meinert}, J. Fractal Geom. 7, No. 2, 137--182 (2020; Zbl 1445.35292) Full Text: DOI arXiv
Kesseböhmer, Marc; Samuel, Tony; Sender, Karenina The Sierpiński gasket as the Martin boundary of a non-isotropic Markov chain. (English) Zbl 1452.31018 J. Fractal Geom. 7, No. 2, 113-136 (2020). Reviewer: Marius Ghergu (Dublin) MSC: 31C35 28A80 60J10 60J50 PDFBibTeX XMLCite \textit{M. Kesseböhmer} et al., J. Fractal Geom. 7, No. 2, 113--136 (2020; Zbl 1452.31018) Full Text: DOI arXiv
Fraser, Jonathan M.; Jordan, Thomas; Jurga, Natalia Dimensions of equilibrium measures on a class of planar self-affine sets. (English) Zbl 1492.37033 J. Fractal Geom. 7, No. 1, 87-111 (2020). Reviewer: Tony Samuel (Birmingham) MSC: 37C45 37E25 28A12 28A80 PDFBibTeX XMLCite \textit{J. M. Fraser} et al., J. Fractal Geom. 7, No. 1, 87--111 (2020; Zbl 1492.37033) Full Text: DOI arXiv
Peirone, Roberto A p.c.f. self-similar set with no self-similar energy. (English) Zbl 1434.31007 J. Fractal Geom. 6, No. 4, 393-404 (2019). MSC: 31C25 28A80 PDFBibTeX XMLCite \textit{R. Peirone}, J. Fractal Geom. 6, No. 4, 393--404 (2019; Zbl 1434.31007) Full Text: DOI arXiv
Rossi, Eino; Shmerkin, Pablo Hölder coverings of sets of small dimension. (English) Zbl 1426.28004 J. Fractal Geom. 6, No. 3, 285-299 (2019). MSC: 28A12 28A75 28A80 PDFBibTeX XMLCite \textit{E. Rossi} and \textit{P. Shmerkin}, J. Fractal Geom. 6, No. 3, 285--299 (2019; Zbl 1426.28004) Full Text: DOI arXiv
Arauza Rivera, Andrea Spectral triples for the variants of the Sierpiński gasket. (English) Zbl 1428.28010 J. Fractal Geom. 6, No. 3, 205-246 (2019). Reviewer: Peter Massopust (München) MSC: 28A80 34L40 46L51 46L87 53C22 58B34 58C35 58C40 81R60 PDFBibTeX XMLCite \textit{A. Arauza Rivera}, J. Fractal Geom. 6, No. 3, 205--246 (2019; Zbl 1428.28010) Full Text: DOI arXiv
Tsougkas, Konstantinos Non-degeneracy of the harmonic structure on Sierpiński gaskets. (English) Zbl 1414.28022 J. Fractal Geom. 6, No. 2, 143-156 (2019). MSC: 28A80 05C10 PDFBibTeX XMLCite \textit{K. Tsougkas}, J. Fractal Geom. 6, No. 2, 143--156 (2019; Zbl 1414.28022) Full Text: DOI arXiv
Morris, Ian D. An explicit formula for the pressure of box-like affine iterated function systems. (English) Zbl 1414.28018 J. Fractal Geom. 6, No. 2, 127-141 (2019). Reviewer: George Stoica (Saint John) MSC: 28A80 15A60 37D35 37H15 PDFBibTeX XMLCite \textit{I. D. Morris}, J. Fractal Geom. 6, No. 2, 127--141 (2019; Zbl 1414.28018) Full Text: DOI arXiv
Howroyd, Douglas C. Assouad type dimensions for self-affine sponges with a weak coordinate ordering condition. (English) Zbl 1479.28007 J. Fractal Geom. 6, No. 1, 67-88 (2019). MSC: 28A80 28C15 PDFBibTeX XMLCite \textit{D. C. Howroyd}, J. Fractal Geom. 6, No. 1, 67--88 (2019; Zbl 1479.28007) Full Text: DOI arXiv
Hambly, Ben; Yang, Weiye Degenerate limits for one-parameter families of non-fixed-point diffusions on fractals. (English) Zbl 1475.28008 J. Fractal Geom. 6, No. 1, 1-51 (2019). MSC: 28A80 31C25 60J25 PDFBibTeX XMLCite \textit{B. Hambly} and \textit{W. Yang}, J. Fractal Geom. 6, No. 1, 1--51 (2019; Zbl 1475.28008) Full Text: DOI arXiv
Grigor’yan, Alexander; Yang, Meng Determination of the walk dimension of the Sierpiński gasket without using diffusion. (English) Zbl 1416.28011 J. Fractal Geom. 5, No. 4, 419-460 (2018). Reviewer: Daniel Beltiţă (Bucureşti) MSC: 28A80 60J10 60J50 PDFBibTeX XMLCite \textit{A. Grigor'yan} and \textit{M. Yang}, J. Fractal Geom. 5, No. 4, 419--460 (2018; Zbl 1416.28011) 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
Algom, Amir Affine embeddings of Cantor sets on the line. (English) Zbl 1403.28004 J. Fractal Geom. 5, No. 4, 339-350 (2018). Reviewer: George Stoica (Saint John) MSC: 28A80 37C45 11B30 PDFBibTeX XMLCite \textit{A. Algom}, J. Fractal Geom. 5, No. 4, 339--350 (2018; Zbl 1403.28004) Full Text: DOI arXiv
Falk, Richard S.; Nussbaum, Roger D. \(C^m\) eigenfunctions of Perron-Frobenius operators and a new approach to numerical computation of Hausdorff dimension: applications in \(\mathbb R^1\). (English) Zbl 1436.37031 J. Fractal Geom. 5, No. 3, 279-337 (2018). MSC: 37C30 11K55 28A80 37C45 65J10 PDFBibTeX XMLCite \textit{R. S. Falk} and \textit{R. D. Nussbaum}, J. Fractal Geom. 5, No. 3, 279--337 (2018; Zbl 1436.37031) Full Text: DOI arXiv
Ruiz, Patricia Alonso; Freiberg, Uta R.; Kigami, Jun Completely symmetric resistance forms on the stretched Sierpiński gasket. (English) Zbl 1397.31003 J. Fractal Geom. 5, No. 3, 227-277 (2018). MSC: 31C25 28A80 PDFBibTeX XMLCite \textit{P. A. Ruiz} et al., J. Fractal Geom. 5, No. 3, 227--277 (2018; Zbl 1397.31003) Full Text: DOI arXiv
Malmquist, Jens; Strichartz, Robert S. Numerical integration for fractal measures. (English) Zbl 1465.65022 J. Fractal Geom. 5, No. 2, 165-226 (2018). MSC: 65D30 28A80 PDFBibTeX XMLCite \textit{J. Malmquist} and \textit{R. S. Strichartz}, J. Fractal Geom. 5, No. 2, 165--226 (2018; Zbl 1465.65022) Full Text: DOI arXiv
Coulhon, Thierry; Rogers, Luke G. Sobolev algebra counterexamples. (English) Zbl 1400.46025 J. Fractal Geom. 5, No. 2, 143-164 (2018). MSC: 46E35 28A80 31E05 PDFBibTeX XMLCite \textit{T. Coulhon} and \textit{L. G. Rogers}, J. Fractal Geom. 5, No. 2, 143--164 (2018; Zbl 1400.46025) Full Text: DOI arXiv
Lapidus, Michel L.; Radunović, Goran; Žubrinić, Darko Fractal tube formulas for compact sets and relative fractal drums: oscillations, complex dimensions and fractality. (English) Zbl 1426.11084 J. Fractal Geom. 5, No. 1, 1-119 (2018). MSC: 11M41 28A12 28A80 42B20 44A05 35P20 40A10 PDFBibTeX XMLCite \textit{M. L. Lapidus} et al., J. Fractal Geom. 5, No. 1, 1--119 (2018; Zbl 1426.11084) Full Text: DOI arXiv
Bondarenko, Ievgen; D’Angeli, Daniele; Nagnibeda, Tatiana Ends of Schreier graphs and cut-points of limit spaces of self-similar groups. (English) Zbl 1423.20041 J. Fractal Geom. 4, No. 4, 369-424 (2017). MSC: 20F65 05C25 05C63 20F10 28A80 68Q70 PDFBibTeX XMLCite \textit{I. Bondarenko} et al., J. Fractal Geom. 4, No. 4, 369--424 (2017; Zbl 1423.20041) Full Text: DOI arXiv
Wu, Daruhan; Yamaguchi, Takao Hausdorff dimension of asymptotic self-similar sets. (English) Zbl 1384.28017 J. Fractal Geom. 4, No. 4, 339-368 (2017). Reviewer: Peter Massopust (München) MSC: 28A80 28A78 53C20 PDFBibTeX XMLCite \textit{D. Wu} and \textit{T. Yamaguchi}, J. Fractal Geom. 4, No. 4, 339--368 (2017; Zbl 1384.28017) Full Text: DOI arXiv
Troscheit, Sascha On the dimensions of attractors of random self-similar graph directed iterated function systems. (English) Zbl 1379.28011 J. Fractal Geom. 4, No. 3, 257-303 (2017). Reviewer: E. Ahmed (Mansoura) MSC: 28A80 60J80 37C45 PDFBibTeX XMLCite \textit{S. Troscheit}, J. Fractal Geom. 4, No. 3, 257--303 (2017; Zbl 1379.28011) Full Text: DOI arXiv
Mantica, Giorgio; Peirone, Roberto Attractors of iterated function systems with uncountably many maps and infinite sums of Cantor sets. (English) Zbl 1396.28016 J. Fractal Geom. 4, No. 3, 215-256 (2017). Reviewer: George Stoica (Saint John) MSC: 28A80 37C20 37E05 PDFBibTeX XMLCite \textit{G. Mantica} and \textit{R. Peirone}, J. Fractal Geom. 4, No. 3, 215--256 (2017; Zbl 1396.28016) Full Text: DOI
Johansson, Anders; Öberg, Anders; Pollicott, Mark Ergodic theory of Kusuoka measures. (English) Zbl 1381.37022 J. Fractal Geom. 4, No. 2, 185-214 (2017). Reviewer: Boris A. Kats (Kazan) MSC: 37B10 37A25 28A80 28D20 PDFBibTeX XMLCite \textit{A. Johansson} et al., J. Fractal Geom. 4, No. 2, 185--214 (2017; Zbl 1381.37022) Full Text: DOI arXiv
Balka, Richárd; Peres, Yuval Uniform dimension results for fractional Brownian motion. (English) Zbl 1376.60060 J. Fractal Geom. 4, No. 2, 147-183 (2017). Reviewer: B. L. S. Prakasa Rao (Hyderabad) MSC: 60G22 60G17 28A78 28A80 60J65 PDFBibTeX XMLCite \textit{R. Balka} and \textit{Y. Peres}, J. Fractal Geom. 4, No. 2, 147--183 (2017; Zbl 1376.60060) Full Text: DOI arXiv
Roychowdhury, Mrinal Kanti Quantization and centroidal Voronoi tessellations for probability measures on dyadic Cantor sets. (English) Zbl 1388.60016 J. Fractal Geom. 4, No. 2, 127-146 (2017). MSC: 60B05 28A80 PDFBibTeX XMLCite \textit{M. K. Roychowdhury}, J. Fractal Geom. 4, No. 2, 127--146 (2017; Zbl 1388.60016) Full Text: DOI arXiv
Greinecker, Florian Spatial equidistribution of combinatorial number schemes. (English) Zbl 1375.28014 J. Fractal Geom. 4, No. 2, 105-126 (2017). Reviewer: Peter Massopust (München) MSC: 28A80 11A63 11B65 11B73 PDFBibTeX XMLCite \textit{F. Greinecker}, J. Fractal Geom. 4, No. 2, 105--126 (2017; Zbl 1375.28014) Full Text: DOI
Çelik, Derya; Koçak, Şahin; Özdemir, Yunus; Üreyen, Adem Ersin Graph-directed sprays and their tube volumes via functional equations. (English) Zbl 1364.28005 J. Fractal Geom. 4, No. 1, 73-103 (2017). Reviewer: George Stoica (Saint John) MSC: 28A80 28A75 52A38 PDFBibTeX XMLCite \textit{D. Çelik} et al., J. Fractal Geom. 4, No. 1, 73--103 (2017; Zbl 1364.28005) Full Text: DOI arXiv
Deng, Qi-Rong; Lau, Ka-Sing Structure of the class of iterated function systems that generate the same self-similar set. (English) Zbl 1366.28007 J. Fractal Geom. 4, No. 1, 43-71 (2017). Reviewer: E. Ahmed (Mansoura) MSC: 28A80 PDFBibTeX XMLCite \textit{Q.-R. Deng} and \textit{K.-S. Lau}, J. Fractal Geom. 4, No. 1, 43--71 (2017; Zbl 1366.28007) Full Text: DOI
Wedrich, Lina Hausdorff dimension of the graph of an operator semistable Lévy process. (English) Zbl 1362.60046 J. Fractal Geom. 4, No. 1, 21-41 (2017). MSC: 60G51 60G52 60G18 60G17 28A78 28A80 PDFBibTeX XMLCite \textit{L. Wedrich}, J. Fractal Geom. 4, No. 1, 21--41 (2017; Zbl 1362.60046) Full Text: DOI arXiv
Fillman, Jake; Takahashi, Yuki; Yessen, William Mixed spectral regimes for square Fibonacci Hamiltonians. (English) Zbl 1370.47033 J. Fractal Geom. 3, No. 4, 377-405 (2016). MSC: 47B36 35J10 37D05 37D20 37D30 37C45 28A80 PDFBibTeX XMLCite \textit{J. Fillman} et al., J. Fractal Geom. 3, No. 4, 377--405 (2016; Zbl 1370.47033) Full Text: DOI arXiv
Hare, Kathryn E.; Hare, Kevin G.; Matthews, Kevin R. Local dimensions of measures of finite type. (English) Zbl 1396.28011 J. Fractal Geom. 3, No. 4, 331-376 (2016). Reviewer: Lulu Fang (Guangzhou) MSC: 28A80 28C10 11K16 PDFBibTeX XMLCite \textit{K. E. Hare} et al., J. Fractal Geom. 3, No. 4, 331--376 (2016; Zbl 1396.28011) Full Text: DOI arXiv
Frank, Natalie Priebe; Webster, Samuel B. G.; Whittaker, Michael F. Fractal dual substitution tilings. (English) Zbl 1418.37029 J. Fractal Geom. 3, No. 3, 265-317 (2016). MSC: 37B50 28A80 05B45 52C20 PDFBibTeX XMLCite \textit{N. P. Frank} et al., J. Fractal Geom. 3, No. 3, 265--317 (2016; Zbl 1418.37029) Full Text: DOI arXiv
Hino, Masanori Some properties of energy measures on Sierpinski gasket type fractals. (English) Zbl 1357.28011 J. Fractal Geom. 3, No. 3, 245-263 (2016). Reviewer: Peter Massopust (München) MSC: 28A80 31C25 60B20 PDFBibTeX XMLCite \textit{M. Hino}, J. Fractal Geom. 3, No. 3, 245--263 (2016; Zbl 1357.28011) Full Text: DOI arXiv
Ghenciu, Andrei E.; Mauldin, R. Daniel; Roy, Mario Conformal graph directed Markov systems: beyond finite irreducibility. (English) Zbl 1366.37057 J. Fractal Geom. 3, No. 3, 217-243 (2016). MSC: 37C45 28A80 37C30 37B20 28A78 PDFBibTeX XMLCite \textit{A. E. Ghenciu} et al., J. Fractal Geom. 3, No. 3, 217--243 (2016; Zbl 1366.37057) Full Text: DOI
Lü, Fan; Xi, Li-Feng Quasi-Assouad dimension of fractals. (English) Zbl 1345.28019 J. Fractal Geom. 3, No. 2, 187-215 (2016). Reviewer: Peter Massopust (München) MSC: 28A80 37F35 PDFBibTeX XMLCite \textit{F. Lü} and \textit{L.-F. Xi}, J. Fractal Geom. 3, No. 2, 187--215 (2016; Zbl 1345.28019) Full Text: DOI
Airey, Dylan; Mance, Bill The Hausdorff dimension of sets of numbers defined by their \(Q\)-Cantor series expansions. (English) Zbl 1350.28007 J. Fractal Geom. 3, No. 2, 163-186 (2016). Reviewer: Sophia L. Kalpazidou (Thessaloniki) MSC: 28A80 11K16 11A63 PDFBibTeX XMLCite \textit{D. Airey} and \textit{B. Mance}, J. Fractal Geom. 3, No. 2, 163--186 (2016; Zbl 1350.28007) Full Text: DOI arXiv
D’Aniello, Emma; Steele, Timothy H. Attractors for iterated function systems. (English) Zbl 1345.28014 J. Fractal Geom. 3, No. 2, 95-117 (2016). Reviewer: Peter Massopust (München) MSC: 28A80 26A18 28A78 PDFBibTeX XMLCite \textit{E. D'Aniello} and \textit{T. H. Steele}, J. Fractal Geom. 3, No. 2, 95--117 (2016; Zbl 1345.28014) Full Text: DOI
Hinz, Michael; Rogers, Luke Magnetic fields on resistance spaces. (English) Zbl 1432.81063 J. Fractal Geom. 3, No. 1, 75-93 (2016). MSC: 81V10 28A80 47A07 47A55 81Q35 PDFBibTeX XMLCite \textit{M. Hinz} and \textit{L. Rogers}, J. Fractal Geom. 3, No. 1, 75--93 (2016; Zbl 1432.81063) Full Text: DOI arXiv
Rapaport, Ariel On the Hausdorff and packing measures of slices of dynamically defined sets. (English) Zbl 1345.28021 J. Fractal Geom. 3, No. 1, 33-74 (2016). Reviewer: Yuang-Ling Ye (Guangzhou) MSC: 28A80 PDFBibTeX XMLCite \textit{A. Rapaport}, J. Fractal Geom. 3, No. 1, 33--74 (2016; Zbl 1345.28021) Full Text: DOI arXiv
Farkas, Ábel; Fraser, Jonathan M. On the equality of Hausdorff measure and Hausdorff content. (English) Zbl 1334.28012 J. Fractal Geom. 2, No. 4, 403-429 (2015). Reviewer: Enrico Zoli (Firenze) MSC: 28A78 28A80 37C45 PDFBibTeX XMLCite \textit{Á. Farkas} and \textit{J. M. Fraser}, J. Fractal Geom. 2, No. 4, 403--429 (2015; Zbl 1334.28012) Full Text: DOI arXiv
Orponen, Tuomas On the packing measure of slices of self-similar sets. (English) Zbl 1332.28015 J. Fractal Geom. 2, No. 4, 389-401 (2015). Reviewer: E. Ahmed (Mansoura) MSC: 28A80 28A78 PDFBibTeX XMLCite \textit{T. Orponen}, J. Fractal Geom. 2, No. 4, 389--401 (2015; Zbl 1332.28015) Full Text: DOI arXiv
Banakh, Taras; Strobin, Filip Embedding topological fractals in universal spaces. (English) Zbl 1332.28011 J. Fractal Geom. 2, No. 4, 377-388 (2015). Reviewer: Grzegorz Świątek (Warszawa) MSC: 28A80 37B25 54H20 PDFBibTeX XMLCite \textit{T. Banakh} and \textit{F. Strobin}, J. Fractal Geom. 2, No. 4, 377--388 (2015; Zbl 1332.28011) Full Text: DOI arXiv
Ekström, Fredrik; Persson, Tomas; Schmeling, Jörg On the Fourier dimension and a modification. (English) Zbl 1327.42010 J. Fractal Geom. 2, No. 3, 309-337 (2015). MSC: 42B10 28A80 PDFBibTeX XMLCite \textit{F. Ekström} et al., J. Fractal Geom. 2, No. 3, 309--337 (2015; Zbl 1327.42010) Full Text: DOI arXiv
Solomyak, Boris Connectedness locus for pairs of affine maps and zeros of power series. (English) Zbl 1331.28021 J. Fractal Geom. 2, No. 3, 281-308 (2015). Reviewer: Boris A. Kats (Kazan) MSC: 28A80 30B10 PDFBibTeX XMLCite \textit{B. Solomyak}, J. Fractal Geom. 2, No. 3, 281--308 (2015; Zbl 1331.28021) Full Text: DOI arXiv
Falconer, Kenneth J. Higher moments for random multiplicative measures. (English) Zbl 1341.60038 J. Fractal Geom. 2, No. 3, 229-247 (2015). Reviewer: Benjamin Steinhurst (Westminster) MSC: 60G57 60G42 60F25 28A80 PDFBibTeX XMLCite \textit{K. J. Falconer}, J. Fractal Geom. 2, No. 3, 229--247 (2015; Zbl 1341.60038) Full Text: DOI arXiv
Kesseböhmer, Marc; Kombrink, Sabrina Minkowski content and fractal Euler characteristic for conformal graph directed systems. (English) Zbl 1320.28014 J. Fractal Geom. 2, No. 2, 171-227 (2015). Reviewer: Boris A. Kats (Kazan) MSC: 28A80 28A75 60K05 PDFBibTeX XMLCite \textit{M. Kesseböhmer} and \textit{S. Kombrink}, J. Fractal Geom. 2, No. 2, 171--227 (2015; Zbl 1320.28014) Full Text: DOI arXiv
Arzt, Peter Measure theoretic trigonometric functions. (English) Zbl 1320.28012 J. Fractal Geom. 2, No. 2, 115-169 (2015). Reviewer: Peter Massopust (München) MSC: 28A80 26A30 34B09 34L16 PDFBibTeX XMLCite \textit{P. Arzt}, J. Fractal Geom. 2, No. 2, 115--169 (2015; Zbl 1320.28012) Full Text: DOI arXiv
Chand, Arya K. B.; Katiyar, Saurabh K.; Viswanathan, Puthan V. Approximation using hidden variable fractal interpolation function. (English) Zbl 1318.28017 J. Fractal Geom. 2, No. 1, 81-114 (2015). Reviewer: Peter Massopust (München) MSC: 28A80 41A05 41A10 PDFBibTeX XMLCite \textit{A. K. B. Chand} et al., J. Fractal Geom. 2, No. 1, 81--114 (2015; Zbl 1318.28017) Full Text: DOI
Deng, Guo-Tai; Lau, Ka-Sing; Luo, Jun Jason Lipschitz equivalence of self-similar sets and hyperbolic boundaries. II. (English) Zbl 1318.28020 J. Fractal Geom. 2, No. 1, 53-79 (2015). Reviewer: Peter Massopust (München) MSC: 28A80 05C63 PDFBibTeX XMLCite \textit{G.-T. Deng} et al., J. Fractal Geom. 2, No. 1, 53--79 (2015; Zbl 1318.28020) Full Text: DOI arXiv
Chen, Changhao; Koivusalo, Henna; Li, Bing; Suomala, Ville Projections of random covering sets. (English) Zbl 1320.60032 J. Fractal Geom. 1, No. 4, 449-467 (2014). MSC: 60D05 28A78 28A80 PDFBibTeX XMLCite \textit{C. Chen} et al., J. Fractal Geom. 1, No. 4, 449--467 (2014; Zbl 1320.60032) Full Text: DOI arXiv
Jolivet, Timo; Loridant, Benoît; Luo, Jun Rauzy fractals with countable fundamental group. (English) Zbl 1404.28012 J. Fractal Geom. 1, No. 4, 427-447 (2014). MSC: 28A80 28D05 37B10 55Q52 68R15 PDFBibTeX XMLCite \textit{T. Jolivet} et al., J. Fractal Geom. 1, No. 4, 427--447 (2014; Zbl 1404.28012) Full Text: DOI arXiv
Abram, William C.; Lagarias, Jeffrey C. Intersections of multiplicative translates of 3-adic Cantor sets. (English) Zbl 1332.11074 J. Fractal Geom. 1, No. 4, 349-390 (2014). Reviewer: Chryssoula Ganatsiou (Larissa) MSC: 11K55 11S82 28A80 28D20 37B10 PDFBibTeX XMLCite \textit{W. C. Abram} and \textit{J. C. Lagarias}, J. Fractal Geom. 1, No. 4, 349--390 (2014; Zbl 1332.11074) Full Text: DOI arXiv
Aoki, Miwa; Fujimura, Masayo; Taniguchi, Masahiko The shape of the dust-likeness locus of self-similar sets. (English) Zbl 1308.28004 J. Fractal Geom. 1, No. 3, 335-347 (2014). Reviewer: Bernd O. Stratmann (Bremen) MSC: 28A80 37F30 37F40 PDFBibTeX XMLCite \textit{M. Aoki} et al., J. Fractal Geom. 1, No. 3, 335--347 (2014; Zbl 1308.28004) Full Text: DOI
Buczolich, Zoltán; Seuret, Stéphane Measures and functions with prescribed homogeneous multifractal spectrum. (English) Zbl 1305.28017 J. Fractal Geom. 1, No. 3, 295-333 (2014). Reviewer: Boris A. Kats (Kazan) MSC: 28A80 26A16 28C15 28A78 42C40 PDFBibTeX XMLCite \textit{Z. Buczolich} and \textit{S. Seuret}, J. Fractal Geom. 1, No. 3, 295--333 (2014; Zbl 1305.28017) Full Text: DOI arXiv
Bárány, Balázs; Rams, Michał Dimension of slices of Sierpiński-like carpets. (English) Zbl 1305.28014 J. Fractal Geom. 1, No. 3, 273-294 (2014). Reviewer: Boris A. Kats (Kazan) MSC: 28A80 28A78 PDFBibTeX XMLCite \textit{B. Bárány} and \textit{M. Rams}, J. Fractal Geom. 1, No. 3, 273--294 (2014; Zbl 1305.28014) Full Text: DOI
Bedford, Tim; Borodachov, Sergiy V.; Geronimo, Jeffrey S. A topological separation condition for fractal attractors. (English) Zbl 1336.28007 J. Fractal Geom. 1, No. 3, 243-271 (2014). Reviewer: E. Ahmed (Mansoura) MSC: 28A80 PDFBibTeX XMLCite \textit{T. Bedford} et al., J. Fractal Geom. 1, No. 3, 243--271 (2014; Zbl 1336.28007) Full Text: DOI arXiv
Bugeaud, Yann; Wang, Bao-Wei Distribution of full cylinders and the Diophantine properties of the orbits in \(\beta\)-expansions. (English) Zbl 1309.11062 J. Fractal Geom. 1, No. 2, 221-241 (2014). Reviewer: Chryssoula Ganatsiou (Larissa) MSC: 11K55 28A80 PDFBibTeX XMLCite \textit{Y. Bugeaud} and \textit{B.-W. Wang}, J. Fractal Geom. 1, No. 2, 221--241 (2014; Zbl 1309.11062) Full Text: DOI
Pokorný, Dušan; Winter, Steffen Scaling exponents of curvature measures. (English) Zbl 1317.28003 J. Fractal Geom. 1, No. 2, 177-219 (2014). Reviewer: Boris A. Kats (Kazan) MSC: 28A75 28A80 PDFBibTeX XMLCite \textit{D. Pokorný} and \textit{S. Winter}, J. Fractal Geom. 1, No. 2, 177--219 (2014; Zbl 1317.28003) Full Text: DOI arXiv