Journal of Fractal GeometryMathematics of Fractals and Related Topics Short Title: J. Fractal Geom. Publisher: EMS Press, Berlin ISSN: 2308-1309; 2308-1317/e Online: https://ems.press/journals/jfg/read Comments: Journal; Indexed cover-to-cover Documents Indexed: 145 Publications (since 2014) References Indexed: 127 Publications with 2,591 References. all top 5 Latest Issues 11, No. 1-2 (2024) 10, No. 3-4 (2023) 10, No. 1-2 (2023) 9, No. 3-4 (2022) 9, No. 1-2 (2022) 8, No. 4 (2021) 8, No. 3 (2021) 8, No. 2 (2021) 8, No. 1 (2021) 7, No. 4 (2020) 7, No. 3 (2020) 7, No. 2 (2020) 7, No. 1 (2020) 6, No. 4 (2019) 6, No. 3 (2019) 6, No. 2 (2019) 6, No. 1 (2019) 5, No. 4 (2018) 5, No. 3 (2018) 5, No. 2 (2018) 5, No. 1 (2018) 4, No. 4 (2017) 4, No. 3 (2017) 4, No. 2 (2017) 4, No. 1 (2017) 3, No. 4 (2016) 3, No. 3 (2016) 3, No. 2 (2016) 3, No. 1 (2016) 2, No. 4 (2015) 2, No. 3 (2015) 2, No. 2 (2015) 2, No. 1 (2015) 1, No. 4 (2014) 1, No. 3 (2014) 1, No. 2 (2014) 1, No. 1 (2014) all top 5 Authors 6 Falconer, Kenneth J. 6 Fraser, Jonathan MacDonald 5 Strichartz, Robert Stephen 4 Hare, Kathryn E. 3 Pollicott, Mark 3 Rogers, Luke G. 3 Shmerkin, Pablo S. 3 Strobin, Filip 2 Abram, William C. 2 Allaart, Pieter C. 2 Alonso-Ruiz, Patricia 2 Baker, Simon 2 Balka, Richárd 2 Banakh, Taras Onufrievich 2 Falk, Richard S. 2 Fillman, Jake 2 Freiberg, Uta Renata 2 Hare, Kevin G. 2 Hinz, Michael 2 Käenmäki, Antti 2 Kesseböhmer, Marc 2 Lagarias, Jeffrey C. 2 Lau, Kasing 2 Loridant, Benoit 2 Mattila, Pertti 2 Mendivil, Franklin 2 Nussbaum, Roger David 2 Orponen, Tuomas 2 Peirone, Roberto 2 Peres, Yuval 2 Ruan, Huo-Jun 2 Solomyak, Boris 2 Takahashi, Yuki 2 Tanaka, Haruyoshi 2 Troscheit, Sascha 2 Winter, Steffen 1 Ahn, Min Woong 1 Airey, Dylan 1 Akiyama, Shigeki 1 Algom, Amir 1 Allen, Andrew S. 1 Aoki, Miwa 1 Arauza Rivera, Andrea 1 Arzt, Peter 1 Balogh, Zoltán M. 1 Banaji, Amlan 1 Banjai, Lehel 1 Bárány, Balázs 1 Baudoin, Fabrice 1 Bedford, Tim 1 Bondarenko, Ievgen V. 1 Borodachov, Sergiy V. 1 Boulton, Lyonell 1 Bowen, Brady 1 Broucke, Frederik 1 Buczolich, Zoltán 1 Bugeaud, Yann 1 Burrell, Stuart A. 1 Çelik, Derya 1 Chand, Arya Kumar Bedabrata 1 Charmoy, Philippe H. A. 1 Chen, Changhao 1 Cornelissen, Gunther 1 Coulhon, Thierry 1 Damanik, David 1 D’angeli, Daniele 1 D’Aniello, Emma 1 Das, Tushar Kanti 1 David, Claire 1 Davis, Caitlin M. 1 Deng, Guotai 1 Deng, Qirong 1 Drakopoulos, Vasileios 1 Dufloux, Laurent 1 Ekström, Fredrik 1 Falk, Kurt 1 Fang, Sizhen 1 Farkas, Ábel 1 Ferrer, Giovanni 1 Fu, Yuqiu 1 Fujimura, Masayo 1 Furno, Joanna 1 García, Gonzalo A. 1 Garcia, Ignacio 1 Garijo, Antonio 1 Gayral, Victor 1 Geronimo, Jeffrey S. 1 Ghenciu, Andrei E. 1 Godillon, Sébastien 1 Golden, Kenneth M. 1 Gordon, Alexander Ya. 1 Greinecker, Florian 1 Grigor’yan, Alexander Asaturovich 1 Hambly, Ben M. 1 Harris, Terence L. J. 1 Hawkins, Jane M. 1 He, Weikun 1 Heizmann, Nico 1 Héra, Kornélia 1 Hino, Masanori ...and 132 more Authors all top 5 Fields 123 Measure and integration (28-XX) 49 Dynamical systems and ergodic theory (37-XX) 20 Number theory (11-XX) 19 Probability theory and stochastic processes (60-XX) 11 Combinatorics (05-XX) 11 Harmonic analysis on Euclidean spaces (42-XX) 10 Partial differential equations (35-XX) 10 Operator theory (47-XX) 9 Real functions (26-XX) 8 Functions of a complex variable (30-XX) 8 Potential theory (31-XX) 6 Approximations and expansions (41-XX) 6 Functional analysis (46-XX) 6 Differential geometry (53-XX) 5 General topology (54-XX) 5 Numerical analysis (65-XX) 4 Ordinary differential equations (34-XX) 4 Convex and discrete geometry (52-XX) 4 Quantum theory (81-XX) 3 Topological groups, Lie groups (22-XX) 3 Computer science (68-XX) 2 Group theory and generalizations (20-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Sequences, series, summability (40-XX) 1 Integral transforms, operational calculus (44-XX) 1 Geometry (51-XX) 1 Algebraic topology (55-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of deformable solids (74-XX) 1 Geophysics (86-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 105 Publications have been cited 639 times in 554 Documents Cited by ▼ Year ▼ Distribution of full cylinders and the Diophantine properties of the orbits in \(\beta\)-expansions. Zbl 1309.11062 Bugeaud, Yann; Wang, Bao-Wei 44 2014 Quasi-Assouad dimension of fractals. Zbl 1345.28019 Lü, Fan; Xi, Li-Feng 27 2016 Multifractal analysis of Birkhoff averages for typical infinitely generated self-affine sets. Zbl 1292.28016 Käenmäki, Antti; Reeve, Henry W. J. 23 2014 Dynamics of unitary operators. Zbl 1321.47076 Damanik, David; Fillman, Jake; Vance, Robert 20 2014 Projection theorems for intermediate dimensions. Zbl 1470.28007 Burrell, Stuart A.; Falconer, Kenneth J.; Fraser, Jonathan M. 16 2021 Hausdorff dimension of unions of affine subspaces and of Furstenberg-type sets. Zbl 1426.28009 Héra, Kornélia; Keleti, Tamás; Máthé, András 16 2019 On the Fourier dimension and a modification. Zbl 1327.42010 Ekström, Fredrik; Persson, Tomas; Schmeling, Jörg 14 2015 Non-spectral fractal measures with Fourier frames. Zbl 1377.28003 Lai, Chun-Kit; Wang, Yang 14 2017 Magnetic fields on resistance spaces. Zbl 1432.81063 Hinz, Michael; Rogers, Luke 13 2016 Attractors for iterated function systems. Zbl 1345.28014 D’Aniello, Emma; Steele, Timothy H. 13 2016 On the dimensions of attractors of random self-similar graph directed iterated function systems. Zbl 1379.28011 Troscheit, Sascha 13 2017 Minkowski content and fractal Euler characteristic for conformal graph directed systems. Zbl 1320.28014 Kesseböhmer, Marc; Kombrink, Sabrina 12 2015 Approximation using hidden variable fractal interpolation function. Zbl 1318.28017 Chand, Arya K. B.; Katiyar, Saurabh K.; Viswanathan, Puthan V. 12 2015 Orthogonal projections of discretized sets. Zbl 1455.28007 He, Weikun 12 2020 Improved bounds for the dimensions of planar distance sets. Zbl 1467.28004 Shmerkin, Pablo 11 2021 Strong Marstrand theorems and dimensions of sets formed by subsets of hyperplanes. Zbl 1365.28003 Falconer, Kenneth; Mattila, Pertti 11 2016 Quantization and centroidal Voronoi tessellations for probability measures on dyadic Cantor sets. Zbl 1388.60016 Roychowdhury, Mrinal Kanti 11 2017 On the viscous Burgers equation on metric graphs and fractals. Zbl 1445.35292 Hinz, Michael; Meinert, Melissa 11 2020 Measure theoretic trigonometric functions. Zbl 1320.28012 Arzt, Peter 10 2015 A capacity approach to box and packing dimensions of projections of sets and exceptional directions. Zbl 1473.28007 Falconer, Kenneth J. 10 2021 \(C^m\) eigenfunctions of Perron-Frobenius operators and a new approach to numerical computation of Hausdorff dimension: applications in \(\mathbb R^1\). Zbl 1436.37031 Falk, Richard S.; Nussbaum, Roger D. 10 2018 Ergodic theory of Kusuoka measures. Zbl 1381.37022 Johansson, Anders; Öberg, Anders; Pollicott, Mark 10 2017 Ends of Schreier graphs and cut-points of limit spaces of self-similar groups. Zbl 1423.20041 Bondarenko, Ievgen; D’Angeli, Daniele; Nagnibeda, Tatiana 10 2017 Dimension of slices of Sierpiński-like carpets. Zbl 1305.28014 Bárány, Balázs; Rams, Michał 9 2014 On the equality of Hausdorff measure and Hausdorff content. Zbl 1334.28012 Farkas, Ábel; Fraser, Jonathan M. 9 2015 Structure of the class of iterated function systems that generate the same self-similar set. Zbl 1366.28007 Deng, Qi-Rong; Lau, Ka-Sing 9 2017 Fractal tube formulas for compact sets and relative fractal drums: oscillations, complex dimensions and fractality. Zbl 1426.11084 Lapidus, Michel L.; Radunović, Goran; Žubrinić, Darko 9 2018 Lipschitz equivalence of self-similar sets and hyperbolic boundaries. II. Zbl 1318.28020 Deng, Guo-Tai; Lau, Ka-Sing; Luo, Jun Jason 8 2015 Boundary value problems on a half Sierpiński gasket. Zbl 1294.28010 Li, Weilin; Strichartz, Robert S. 8 2014 Completely symmetric resistance forms on the stretched Sierpiński gasket. Zbl 1397.31003 Ruiz, Patricia Alonso; Freiberg, Uta R.; Kigami, Jun 8 2018 Local dimensions of measures of finite type. Zbl 1396.28011 Hare, Kathryn E.; Hare, Kevin G.; Matthews, Kevin R. 8 2016 Construction and box dimension of recurrent fractal interpolation surfaces. Zbl 1485.28015 Liang, Zhen; Ruan, Huo-Jun 8 2021 Spectral gaps of almost Mathieu operators in the exponential regime. Zbl 1410.47003 Liu, Wencai; Yuan, Xiaoping 7 2015 Some properties of energy measures on Sierpinski gasket type fractals. Zbl 1357.28011 Hino, Masanori 7 2016 The infinite derivatives of Okamoto’s self-affine functions: an application of \(\beta\)-expansions. Zbl 1350.26006 Allaart, Pieter C. 7 2016 Mixed spectral regimes for square Fibonacci Hamiltonians. Zbl 1370.47033 Fillman, Jake; Takahashi, Yuki; Yessen, William 7 2016 Affine embeddings of Cantor sets on the line. Zbl 1403.28004 Algom, Amir 7 2018 On the packing measure of slices of self-similar sets. Zbl 1332.28015 Orponen, Tuomas 6 2015 Measures and functions with prescribed homogeneous multifractal spectrum. Zbl 1305.28017 Buczolich, Zoltán; Seuret, Stéphane 6 2014 Bifurcation sets arising from non-integer base expansions. Zbl 1435.11102 Allaart, Pieter; Baker, Simon; Kong, Derong 6 2019 A p.c.f. self-similar set with no self-similar energy. Zbl 1434.31007 Peirone, Roberto 6 2019 Quasi-doubling of self-similar measures with overlaps. Zbl 1455.28006 Hare, Kathryn E.; Hare, Kevin G.; Troscheit, Sascha 6 2020 Dimensions of graphs of prevalent continuous maps. Zbl 1365.28005 Balka, Richárd 6 2016 Intermediate Assouad-like dimensions. Zbl 1485.28006 García, Ignacio; Hare, Kathryn E.; Mendivil, Franklin 6 2021 Projections of random covering sets. Zbl 1320.60032 Chen, Changhao; Koivusalo, Henna; Li, Bing; Suomala, Ville 5 2014 \(p\)-adic path set fractals and arithmetic. Zbl 1291.11107 Abram, William C.; Lagarias, Jeffrey C. 5 2014 Scaling exponents of curvature measures. Zbl 1317.28003 Pokorný, Dušan; Winter, Steffen 5 2014 Fractal dual substitution tilings. Zbl 1418.37029 Frank, Natalie Priebe; Webster, Samuel B. G.; Whittaker, Michael F. 5 2016 On the Hausdorff and packing measures of slices of dynamically defined sets. Zbl 1345.28021 Rapaport, Ariel 5 2016 Asymptotic perturbation of graph iterated function systems. Zbl 1364.37034 Tanaka, Haruyoshi 5 2016 The Hausdorff dimension of sets of numbers defined by their \(Q\)-Cantor series expansions. Zbl 1350.28007 Airey, Dylan; Mance, Bill 5 2016 Intersections of multiplicative translates of 3-adic Cantor sets. Zbl 1332.11074 Abram, William C.; Lagarias, Jeffrey C. 4 2014 Dimensions of equilibrium measures on a class of planar self-affine sets. Zbl 1492.37033 Fraser, Jonathan M.; Jordan, Thomas; Jurga, Natalia 4 2020 Spectral decimation for families of self-similar symmetric Laplacians on the Sierpiński gasket. Zbl 1437.30016 Fang, Sizhen; King, Dylan A.; Lee, Eun Bi; Strichartz, Robert S. 4 2020 Assouad dimension influences the box and packing dimensions of orthogonal projections. Zbl 1493.28012 Falconer, Kenneth J.; Fraser, Jonathan M.; Shmerkin, Pablo 4 2021 Frequency dependence of Hölder continuity for quasiperiodic Schrödinger operators. Zbl 1475.37030 Munger, Paul E. 4 2019 Eigenvalue bounds and spectral asymptotics for fractal Laplacians. Zbl 1431.34090 Pinasco, Juan Pablo; Scarola, Cristian 4 2019 On McMullen-like mappings. Zbl 1345.37045 Garijo, Antonio; Godillon, Sébastien 3 2015 Minkowski dimension of Brownian motion with drift. Zbl 1305.60076 Charmoy, Philippe H. A.; Peres, Yuval; Sousi, Perla 3 2014 Kneading with weights. Zbl 1352.37118 Rugh, Hans Henrik; Tan, Lei 3 2015 Marstrand type projection theorems for normed spaces. Zbl 1431.28005 Balogh, Zoltán M.; Iseli, Annina 3 2019 Hausdorff dimension of the graph of an operator semistable Lévy process. Zbl 1362.60046 Wedrich, Lina 3 2017 Ahlfors regular conformal dimension of metrics on infinite graphs and spectral dimension of the associated random walks. Zbl 1496.30029 Sasaya, Kôhei 3 2022 Determination of the walk dimension of the Sierpiński gasket without using diffusion. Zbl 1416.28011 Grigor’yan, Alexander; Yang, Meng 3 2018 Rational families converging to a family of exponential maps. Zbl 1475.37050 Furno, Joanna; Hawkins, Jane; Koss, Lorelei 3 2019 Attractors of iterated function systems with uncountably many maps and infinite sums of Cantor sets. Zbl 1396.28016 Mantica, Giorgio; Peirone, Roberto 3 2017 Degenerate limits for one-parameter families of non-fixed-point diffusions on fractals. Zbl 1475.28008 Hambly, Ben; Yang, Weiye 3 2019 An explicit formula for the pressure of box-like affine iterated function systems. Zbl 1414.28018 Morris, Ian D. 3 2019 Spectral triples for the variants of the Sierpiński gasket. Zbl 1428.28010 Arauza Rivera, Andrea 3 2019 Connectedness locus for pairs of affine maps and zeros of power series. Zbl 1331.28021 Solomyak, Boris 2 2015 Polynomials on the Sierpiński gasket with respect to different Laplacians which are symmetric and self-similar. Zbl 1455.28010 Loring, Christian; Ogden, W. Jacob; Sandine, Ely; Strichartz, Robert S. 2 2020 Topology of planar self-affine tiles with collinear digit set. Zbl 1470.28005 Akiyama, Shigeki; Loridant, Benoît; Thuswaldner, Jörg 2 2021 Hidden positivity and a new approach to numerical computation of Hausdorff dimension: higher order methods. Zbl 1505.11104 Falk, Richard S.; Nussbaum, Roger D. 2 2022 Invariant measures for iterated function systems with inverses. Zbl 1515.28016 Takahashi, Yuki 2 2022 An upper bound for the intermediate dimensions of Bedford-McMullen carpets. Zbl 1511.28006 Kolossváry, István 2 2022 Dimension distortion by right coset projections in the Heisenberg group. Zbl 1485.28007 Harris, Terence L. J.; Huynh, Chi N. Y.; Román-García, Fernando 2 2021 The formula for the quasicentral modulus in the case of spectral measures on fractals. Zbl 1492.47022 Voiculescu, Dan-Virgil 2 2021 Hausdorff dimension of intersections with planes and general sets. Zbl 1484.28004 Mattila, Pertti 2 2021 Numerical integration for fractal measures. Zbl 1465.65022 Malmquist, Jens; Strichartz, Robert S. 2 2018 Uniform dimension results for fractional Brownian motion. Zbl 1376.60060 Balka, Richárd; Peres, Yuval 2 2017 Assouad type dimensions for self-affine sponges with a weak coordinate ordering condition. Zbl 1479.28007 Howroyd, Douglas C. 2 2019 Rauzy fractals with countable fundamental group. Zbl 1404.28012 Jolivet, Timo; Loridant, Benoît; Luo, Jun 1 2014 A topological separation condition for fractal attractors. Zbl 1336.28007 Bedford, Tim; Borodachov, Sergiy V.; Geronimo, Jeffrey S. 1 2014 Embedding topological fractals in universal spaces. Zbl 1332.28011 Banakh, Taras; Strobin, Filip 1 2015 The shape of the dust-likeness locus of self-similar sets. Zbl 1308.28004 Aoki, Miwa; Fujimura, Masayo; Taniguchi, Masahiko 1 2014 Mean Lipschitz-Killing curvatures for homogeneous random fractals. Zbl 1538.28031 Rataj, Jan; Winter, Steffen; Zähle, Martina 1 2023 Schrödinger equations defined by a class of self-similar measures. Zbl 07754864 Ngai, Sze-Man; Tang, Wei 1 2023 The pointwise behavior of Riemann’s function. Zbl 1538.26007 Broucke, Frederik; Vindas, Jasson 1 2023 Uniform scaling limits for ergodic measures. Zbl 1380.37017 Fraser, Jonathan M.; Pollicott, Mark 1 2017 Graph-directed sprays and their tube volumes via functional equations. Zbl 1364.28005 Çelik, Derya; Koçak, Şahin; Özdemir, Yunus; Üreyen, Adem Ersin 1 2017 Fourier multipliers and transfer operators. Zbl 1472.37026 Pollicott, Mark 1 2021 Fourier decay for homogeneous self-affine measures. Zbl 1509.28011 Solomyak, Boris 1 2022 Geometry and Laplacian on discrete magic carpets. Zbl 1538.28033 Siu, Chunyin; Strichartz, Robert S. 1 2022 Asymptotic solution of Bowen equation for perturbed potentials on shift spaces with countable states. Zbl 1530.37060 Tanaka, Haruyoshi 1 2022 A fractal interpolation scheme for a possible sizeable set of data. Zbl 1530.28002 Miculescu, Radu; Mihail, Alexandru; Pacurar, Cristina Maria 1 2022 Iterated function systems based on the degree of nondensifiability. Zbl 1528.28020 García, Gonzalo; Mora, Gaspar 1 2022 Modeling the fractal geometry of arctic melt ponds using the level sets of random surfaces. Zbl 1395.37052 Bowen, Brady; Strong, Courtenay; Golden, Kenneth M. 1 2018 Spatial equidistribution of combinatorial number schemes. Zbl 1375.28014 Greinecker, Florian 1 2017 On transfer operators on the circle with trigonometric weights. Zbl 1400.37026 Chen, Xianghong; Volkmer, Hans 1 2018 Discrete Schrödinger operators with potentials defined by measurable sampling functions over Liouville torus rotations. Zbl 1383.39009 Gordon, Alexander Y. 1 2017 Mean Lipschitz-Killing curvatures for homogeneous random fractals. Zbl 1538.28031 Rataj, Jan; Winter, Steffen; Zähle, Martina 1 2023 Schrödinger equations defined by a class of self-similar measures. Zbl 07754864 Ngai, Sze-Man; Tang, Wei 1 2023 The pointwise behavior of Riemann’s function. Zbl 1538.26007 Broucke, Frederik; Vindas, Jasson 1 2023 Ahlfors regular conformal dimension of metrics on infinite graphs and spectral dimension of the associated random walks. Zbl 1496.30029 Sasaya, Kôhei 3 2022 Hidden positivity and a new approach to numerical computation of Hausdorff dimension: higher order methods. Zbl 1505.11104 Falk, Richard S.; Nussbaum, Roger D. 2 2022 Invariant measures for iterated function systems with inverses. Zbl 1515.28016 Takahashi, Yuki 2 2022 An upper bound for the intermediate dimensions of Bedford-McMullen carpets. Zbl 1511.28006 Kolossváry, István 2 2022 Fourier decay for homogeneous self-affine measures. Zbl 1509.28011 Solomyak, Boris 1 2022 Geometry and Laplacian on discrete magic carpets. Zbl 1538.28033 Siu, Chunyin; Strichartz, Robert S. 1 2022 Asymptotic solution of Bowen equation for perturbed potentials on shift spaces with countable states. Zbl 1530.37060 Tanaka, Haruyoshi 1 2022 A fractal interpolation scheme for a possible sizeable set of data. Zbl 1530.28002 Miculescu, Radu; Mihail, Alexandru; Pacurar, Cristina Maria 1 2022 Iterated function systems based on the degree of nondensifiability. Zbl 1528.28020 García, Gonzalo; Mora, Gaspar 1 2022 Projection theorems for intermediate dimensions. Zbl 1470.28007 Burrell, Stuart A.; Falconer, Kenneth J.; Fraser, Jonathan M. 16 2021 Improved bounds for the dimensions of planar distance sets. Zbl 1467.28004 Shmerkin, Pablo 11 2021 A capacity approach to box and packing dimensions of projections of sets and exceptional directions. Zbl 1473.28007 Falconer, Kenneth J. 10 2021 Construction and box dimension of recurrent fractal interpolation surfaces. Zbl 1485.28015 Liang, Zhen; Ruan, Huo-Jun 8 2021 Intermediate Assouad-like dimensions. Zbl 1485.28006 García, Ignacio; Hare, Kathryn E.; Mendivil, Franklin 6 2021 Assouad dimension influences the box and packing dimensions of orthogonal projections. Zbl 1493.28012 Falconer, Kenneth J.; Fraser, Jonathan M.; Shmerkin, Pablo 4 2021 Topology of planar self-affine tiles with collinear digit set. Zbl 1470.28005 Akiyama, Shigeki; Loridant, Benoît; Thuswaldner, Jörg 2 2021 Dimension distortion by right coset projections in the Heisenberg group. Zbl 1485.28007 Harris, Terence L. J.; Huynh, Chi N. Y.; Román-García, Fernando 2 2021 The formula for the quasicentral modulus in the case of spectral measures on fractals. Zbl 1492.47022 Voiculescu, Dan-Virgil 2 2021 Hausdorff dimension of intersections with planes and general sets. Zbl 1484.28004 Mattila, Pertti 2 2021 Fourier multipliers and transfer operators. Zbl 1472.37026 Pollicott, Mark 1 2021 Orthogonal projections of discretized sets. Zbl 1455.28007 He, Weikun 12 2020 On the viscous Burgers equation on metric graphs and fractals. Zbl 1445.35292 Hinz, Michael; Meinert, Melissa 11 2020 Quasi-doubling of self-similar measures with overlaps. Zbl 1455.28006 Hare, Kathryn E.; Hare, Kevin G.; Troscheit, Sascha 6 2020 Dimensions of equilibrium measures on a class of planar self-affine sets. Zbl 1492.37033 Fraser, Jonathan M.; Jordan, Thomas; Jurga, Natalia 4 2020 Spectral decimation for families of self-similar symmetric Laplacians on the Sierpiński gasket. Zbl 1437.30016 Fang, Sizhen; King, Dylan A.; Lee, Eun Bi; Strichartz, Robert S. 4 2020 Polynomials on the Sierpiński gasket with respect to different Laplacians which are symmetric and self-similar. Zbl 1455.28010 Loring, Christian; Ogden, W. Jacob; Sandine, Ely; Strichartz, Robert S. 2 2020 Supermixed labyrinth fractals. Zbl 1445.28007 Cristea, Ligia L.; Leobacher, Gunther 1 2020 Hausdorff dimension of unions of affine subspaces and of Furstenberg-type sets. Zbl 1426.28009 Héra, Kornélia; Keleti, Tamás; Máthé, András 16 2019 Bifurcation sets arising from non-integer base expansions. Zbl 1435.11102 Allaart, Pieter; Baker, Simon; Kong, Derong 6 2019 A p.c.f. self-similar set with no self-similar energy. Zbl 1434.31007 Peirone, Roberto 6 2019 Frequency dependence of Hölder continuity for quasiperiodic Schrödinger operators. Zbl 1475.37030 Munger, Paul E. 4 2019 Eigenvalue bounds and spectral asymptotics for fractal Laplacians. Zbl 1431.34090 Pinasco, Juan Pablo; Scarola, Cristian 4 2019 Marstrand type projection theorems for normed spaces. Zbl 1431.28005 Balogh, Zoltán M.; Iseli, Annina 3 2019 Rational families converging to a family of exponential maps. Zbl 1475.37050 Furno, Joanna; Hawkins, Jane; Koss, Lorelei 3 2019 Degenerate limits for one-parameter families of non-fixed-point diffusions on fractals. Zbl 1475.28008 Hambly, Ben; Yang, Weiye 3 2019 An explicit formula for the pressure of box-like affine iterated function systems. Zbl 1414.28018 Morris, Ian D. 3 2019 Spectral triples for the variants of the Sierpiński gasket. Zbl 1428.28010 Arauza Rivera, Andrea 3 2019 Assouad type dimensions for self-affine sponges with a weak coordinate ordering condition. Zbl 1479.28007 Howroyd, Douglas C. 2 2019 Non-degeneracy of the harmonic structure on Sierpiński gaskets. Zbl 1414.28022 Tsougkas, Konstantinos 1 2019 Quantization of the affine group of a local field. Zbl 1420.81017 Gayral, Victor; Jondreville, David 1 2019 Hölder coverings of sets of small dimension. Zbl 1426.28004 Rossi, Eino; Shmerkin, Pablo 1 2019 \(C^m\) eigenfunctions of Perron-Frobenius operators and a new approach to numerical computation of Hausdorff dimension: applications in \(\mathbb R^1\). Zbl 1436.37031 Falk, Richard S.; Nussbaum, Roger D. 10 2018 Fractal tube formulas for compact sets and relative fractal drums: oscillations, complex dimensions and fractality. Zbl 1426.11084 Lapidus, Michel L.; Radunović, Goran; Žubrinić, Darko 9 2018 Completely symmetric resistance forms on the stretched Sierpiński gasket. Zbl 1397.31003 Ruiz, Patricia Alonso; Freiberg, Uta R.; Kigami, Jun 8 2018 Affine embeddings of Cantor sets on the line. Zbl 1403.28004 Algom, Amir 7 2018 Determination of the walk dimension of the Sierpiński gasket without using diffusion. Zbl 1416.28011 Grigor’yan, Alexander; Yang, Meng 3 2018 Numerical integration for fractal measures. Zbl 1465.65022 Malmquist, Jens; Strichartz, Robert S. 2 2018 Modeling the fractal geometry of arctic melt ponds using the level sets of random surfaces. Zbl 1395.37052 Bowen, Brady; Strong, Courtenay; Golden, Kenneth M. 1 2018 On transfer operators on the circle with trigonometric weights. Zbl 1400.37026 Chen, Xianghong; Volkmer, Hans 1 2018 Non-spectral fractal measures with Fourier frames. Zbl 1377.28003 Lai, Chun-Kit; Wang, Yang 14 2017 On the dimensions of attractors of random self-similar graph directed iterated function systems. Zbl 1379.28011 Troscheit, Sascha 13 2017 Quantization and centroidal Voronoi tessellations for probability measures on dyadic Cantor sets. Zbl 1388.60016 Roychowdhury, Mrinal Kanti 11 2017 Ergodic theory of Kusuoka measures. Zbl 1381.37022 Johansson, Anders; Öberg, Anders; Pollicott, Mark 10 2017 Ends of Schreier graphs and cut-points of limit spaces of self-similar groups. Zbl 1423.20041 Bondarenko, Ievgen; D’Angeli, Daniele; Nagnibeda, Tatiana 10 2017 Structure of the class of iterated function systems that generate the same self-similar set. Zbl 1366.28007 Deng, Qi-Rong; Lau, Ka-Sing 9 2017 Hausdorff dimension of the graph of an operator semistable Lévy process. Zbl 1362.60046 Wedrich, Lina 3 2017 Attractors of iterated function systems with uncountably many maps and infinite sums of Cantor sets. Zbl 1396.28016 Mantica, Giorgio; Peirone, Roberto 3 2017 Uniform dimension results for fractional Brownian motion. Zbl 1376.60060 Balka, Richárd; Peres, Yuval 2 2017 Uniform scaling limits for ergodic measures. Zbl 1380.37017 Fraser, Jonathan M.; Pollicott, Mark 1 2017 Graph-directed sprays and their tube volumes via functional equations. Zbl 1364.28005 Çelik, Derya; Koçak, Şahin; Özdemir, Yunus; Üreyen, Adem Ersin 1 2017 Spatial equidistribution of combinatorial number schemes. Zbl 1375.28014 Greinecker, Florian 1 2017 Discrete Schrödinger operators with potentials defined by measurable sampling functions over Liouville torus rotations. Zbl 1383.39009 Gordon, Alexander Y. 1 2017 Full groups of bounded automaton groups. Zbl 1423.20017 Matte Bon, Nicolás 1 2017 Quasi-Assouad dimension of fractals. Zbl 1345.28019 Lü, Fan; Xi, Li-Feng 27 2016 Magnetic fields on resistance spaces. Zbl 1432.81063 Hinz, Michael; Rogers, Luke 13 2016 Attractors for iterated function systems. Zbl 1345.28014 D’Aniello, Emma; Steele, Timothy H. 13 2016 Strong Marstrand theorems and dimensions of sets formed by subsets of hyperplanes. Zbl 1365.28003 Falconer, Kenneth; Mattila, Pertti 11 2016 Local dimensions of measures of finite type. Zbl 1396.28011 Hare, Kathryn E.; Hare, Kevin G.; Matthews, Kevin R. 8 2016 Some properties of energy measures on Sierpinski gasket type fractals. Zbl 1357.28011 Hino, Masanori 7 2016 The infinite derivatives of Okamoto’s self-affine functions: an application of \(\beta\)-expansions. Zbl 1350.26006 Allaart, Pieter C. 7 2016 Mixed spectral regimes for square Fibonacci Hamiltonians. Zbl 1370.47033 Fillman, Jake; Takahashi, Yuki; Yessen, William 7 2016 Dimensions of graphs of prevalent continuous maps. Zbl 1365.28005 Balka, Richárd 6 2016 Fractal dual substitution tilings. Zbl 1418.37029 Frank, Natalie Priebe; Webster, Samuel B. G.; Whittaker, Michael F. 5 2016 On the Hausdorff and packing measures of slices of dynamically defined sets. Zbl 1345.28021 Rapaport, Ariel 5 2016 Asymptotic perturbation of graph iterated function systems. Zbl 1364.37034 Tanaka, Haruyoshi 5 2016 The Hausdorff dimension of sets of numbers defined by their \(Q\)-Cantor series expansions. Zbl 1350.28007 Airey, Dylan; Mance, Bill 5 2016 On the Fourier dimension and a modification. Zbl 1327.42010 Ekström, Fredrik; Persson, Tomas; Schmeling, Jörg 14 2015 Minkowski content and fractal Euler characteristic for conformal graph directed systems. Zbl 1320.28014 Kesseböhmer, Marc; Kombrink, Sabrina 12 2015 Approximation using hidden variable fractal interpolation function. Zbl 1318.28017 Chand, Arya K. B.; Katiyar, Saurabh K.; Viswanathan, Puthan V. 12 2015 Measure theoretic trigonometric functions. Zbl 1320.28012 Arzt, Peter 10 2015 On the equality of Hausdorff measure and Hausdorff content. Zbl 1334.28012 Farkas, Ábel; Fraser, Jonathan M. 9 2015 Lipschitz equivalence of self-similar sets and hyperbolic boundaries. II. Zbl 1318.28020 Deng, Guo-Tai; Lau, Ka-Sing; Luo, Jun Jason 8 2015 Spectral gaps of almost Mathieu operators in the exponential regime. Zbl 1410.47003 Liu, Wencai; Yuan, Xiaoping 7 2015 On the packing measure of slices of self-similar sets. Zbl 1332.28015 Orponen, Tuomas 6 2015 On McMullen-like mappings. Zbl 1345.37045 Garijo, Antonio; Godillon, Sébastien 3 2015 Kneading with weights. Zbl 1352.37118 Rugh, Hans Henrik; Tan, Lei 3 2015 Connectedness locus for pairs of affine maps and zeros of power series. Zbl 1331.28021 Solomyak, Boris 2 2015 Embedding topological fractals in universal spaces. Zbl 1332.28011 Banakh, Taras; Strobin, Filip 1 2015 Distribution of full cylinders and the Diophantine properties of the orbits in \(\beta\)-expansions. Zbl 1309.11062 Bugeaud, Yann; Wang, Bao-Wei 44 2014 Multifractal analysis of Birkhoff averages for typical infinitely generated self-affine sets. Zbl 1292.28016 Käenmäki, Antti; Reeve, Henry W. J. 23 2014 Dynamics of unitary operators. Zbl 1321.47076 Damanik, David; Fillman, Jake; Vance, Robert 20 2014 Dimension of slices of Sierpiński-like carpets. Zbl 1305.28014 Bárány, Balázs; Rams, Michał 9 2014 Boundary value problems on a half Sierpiński gasket. Zbl 1294.28010 Li, Weilin; Strichartz, Robert S. 8 2014 Measures and functions with prescribed homogeneous multifractal spectrum. Zbl 1305.28017 Buczolich, Zoltán; Seuret, Stéphane 6 2014 Projections of random covering sets. Zbl 1320.60032 Chen, Changhao; Koivusalo, Henna; Li, Bing; Suomala, Ville 5 2014 \(p\)-adic path set fractals and arithmetic. Zbl 1291.11107 Abram, William C.; Lagarias, Jeffrey C. 5 2014 Scaling exponents of curvature measures. Zbl 1317.28003 Pokorný, Dušan; Winter, Steffen 5 2014 ...and 5 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 611 Authors 20 Fraser, Jonathan MacDonald 17 Teplyaev, Alexander 15 Troscheit, Sascha 13 Hare, Kathryn E. 12 Fillman, Jake 12 Shmerkin, Pablo S. 11 Roychowdhury, Mrinal Kanti 10 Falconer, Kenneth J. 10 Li, Bing 10 Selmi, Bilel 10 Wu, Min 9 Damanik, David 9 Morris, Ian D. 9 Qiu, Hua 8 Kong, Derong 7 Allaart, Pieter C. 7 Hare, Kevin G. 7 Hinz, Michael 7 Käenmäki, Antti 7 Mograby, Gamal 7 Orponen, Tuomas 7 Radunović, Goran 7 Winter, Steffen 6 Banaji, Amlan 6 Cao, Shiping 6 Chand, Arya Kumar Bedabrata 6 D’angeli, Daniele 6 Héra, Kornélia 6 Jørgensen, Palle E. T. 6 Kesseböhmer, Marc 6 Kombrink, Sabrina 6 Lai, Chun-Kit 6 Lapidus, Michel L. 6 Mance, Bill 6 Pollicott, Mark 6 Xi, Lifeng 5 Airey, Dylan 5 Bárány, Balázs 5 Katiyar, Saurabh Kumar 5 Keleti, Tamás 5 Lau, Kasing 5 Li, Wenxia 5 Liu, Jia 5 Mendivil, Franklin 5 Rodaro, Emanuele 5 Rogers, Luke G. 5 Seuret, Stéphane 5 Tanaka, Haruyoshi 5 Urbański, Mariusz 5 Wu, Jun 5 Zheng, Lixuan 4 Abram, William C. 4 Bessi, Ugo 4 Chen, Haipeng 4 Deng, Qirong 4 Fang, Lulu 4 Feng, De-Jun 4 Garcia, Ignacio 4 Gorodetskii, Anton Semenovich 4 Hambrook, Kyle 4 Klinga, Paweł 4 Kwela, Adam 4 Lagarias, Jeffrey C. 4 Liu, Bochen 4 Okoudjou, Kasso A. 4 Ong, Darren C. 4 Rossi, Eino 4 Ruan, Huo-Jun 4 Rutar, Alex 4 Strichartz, Robert Stephen 4 Wang, Baowei 4 Xiong, Ying 4 Žubrinić, Darko 3 Balu, Radhakrishnan 3 Becker-Kern, Peter 3 Burrell, Stuart A. 3 Chousionis, Vasileios 3 Çömez, Doḡan 3 Derevyagin, Maxim S. 3 Douzi, Zied 3 Dunne, Gerald V. 3 Gowrisankar, A. 3 Gu, Qingsong 3 Harris, Terence L. J. 3 Hussain, Mumtaz 3 Järvenpää, Maarit 3 Jurga, Natalia 3 Koss, Lorelei 3 Li, Yaoqiang 3 Liu, Wencai 3 Mattila, Pertti 3 Ngai, Sze-Man 3 Persson, Tomas 3 Rapaport, Ariel 3 Samuel, Tony 3 Simon, Károly 3 Smirnova-Nagnibeda, Tatiana 3 Strobin, Filip 3 Suomala, Ville 3 Tan, Bo ...and 511 more Authors all top 5 Cited in 167 Journals 30 Fractals 30 Journal of Fractal Geometry 27 Advances in Mathematics 25 Journal of Mathematical Analysis and Applications 21 Ergodic Theory and Dynamical Systems 16 Nonlinearity 15 Transactions of the American Mathematical Society 12 Mathematische Zeitschrift 10 Annales Fennici Mathematici 8 Communications in Mathematical Physics 8 Chaos, Solitons and Fractals 7 Journal of Functional Analysis 7 Monatshefte für Mathematik 7 Discrete and Continuous Dynamical Systems 6 Israel Journal of Mathematics 6 Journal d’Analyse Mathématique 6 Mathematical Proceedings of the Cambridge Philosophical Society 6 Journal of Number Theory 6 Mathematische Nachrichten 6 Proceedings of the American Mathematical Society 6 Potential Analysis 5 Journal of Mathematical Physics 5 Journal of Spectral Theory 4 Rocky Mountain Journal of Mathematics 4 Mathematika 4 Real Analysis Exchange 4 Results in Mathematics 4 Advances in Applied Mathematics 4 Proceedings of the Royal Society of Edinburgh. 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Second Series 2 Communications of the Korean Mathematical Society 2 Communications in Nonlinear Science and Numerical Simulation 2 Qualitative Theory of Dynamical Systems 2 Stochastics and Dynamics 2 Quantum Information Processing 2 International Journal of Number Theory 2 Analysis & PDE 1 Advances in Applied Probability 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal of Statistical Physics 1 Physics Letters. A 1 Reports on Mathematical Physics 1 Reviews in Mathematical Physics 1 The Mathematical Intelligencer 1 Acta Arithmetica 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 The Annals of Probability 1 Applied Mathematics and Computation 1 Commentationes Mathematicae Universitatis Carolinae 1 Czechoslovak Mathematical Journal 1 Dissertationes Mathematicae 1 Fundamenta Mathematicae ...and 67 more Journals all top 5 Cited in 45 Fields 409 Measure and integration (28-XX) 151 Dynamical systems and ergodic theory (37-XX) 99 Number theory (11-XX) 82 Probability theory and stochastic processes (60-XX) 53 Harmonic analysis on Euclidean spaces (42-XX) 49 Operator theory (47-XX) 39 Partial differential equations (35-XX) 34 Real functions (26-XX) 29 Quantum theory (81-XX) 26 Combinatorics (05-XX) 26 Potential theory (31-XX) 23 Functional analysis (46-XX) 19 Statistical mechanics, structure of matter (82-XX) 17 General topology (54-XX) 14 Group theory and generalizations (20-XX) 14 Ordinary differential equations (34-XX) 14 Approximations and expansions (41-XX) 13 Convex and discrete geometry (52-XX) 12 Functions of a complex variable (30-XX) 12 Computer science (68-XX) 11 Global analysis, analysis on manifolds (58-XX) 11 Numerical analysis (65-XX) 8 Information and communication theory, circuits (94-XX) 7 Differential geometry (53-XX) 6 General and overarching topics; collections (00-XX) 6 Mathematical logic and foundations (03-XX) 5 Topological groups, Lie groups (22-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 5 Statistics (62-XX) 4 Several complex variables and analytic spaces (32-XX) 4 Abstract harmonic analysis (43-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Special functions (33-XX) 2 Associative rings and algebras (16-XX) 2 Integral transforms, operational calculus (44-XX) 2 Integral equations (45-XX) 2 Geometry (51-XX) 2 Optics, electromagnetic theory (78-XX) 1 History and biography (01-XX) 1 Field theory and polynomials (12-XX) 1 Algebraic geometry (14-XX) 1 Category theory; homological algebra (18-XX) 1 Difference and functional equations (39-XX) 1 Sequences, series, summability (40-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year