# zbMATH — the first resource for mathematics

## Journal of Fractal Geometry

### Mathematics of Fractals and Related Topics

 Short Title: J. Fractal Geom. Publisher: European Mathematical Society (EMS) Publishing House, Zurich ISSN: 2308-1309; 2308-1317/e Online: https://www.ems-ph.org/journals/all_issues.php?issn=2308-1309https://ems.press/journals/jfg/read Comments: Indexed cover-to-cover
 Documents Indexed: 102 Publications (since 2014) References Indexed: 84 Publications with 1,520 References.
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#### Latest Issues

 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)
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#### Authors

 4 Falconer, Kenneth J. 4 Fraser, Jonathan MacDonald 4 Strichartz, Robert S. 3 Pollicott, Mark 3 Strobin, Filip 2 Abram, William C. 2 Allaart, Pieter C. 2 Balka, Richárd 2 Banakh, Taras Onufrievich 2 Fillman, Jake 2 Hare, Kathryn E. 2 Hare, Kevin G. 2 Hinz, Michael 2 Kesseböhmer, Marc 2 Lagarias, Jeffrey C. 2 Lau, Kasing 2 Loridant, Benoit 2 Peirone, Roberto 2 Peres, Yuval 2 Rogers, Luke G. 2 Shmerkin, Pablo S. 2 Troscheit, Sascha 1 Airey, Dylan 1 Akiyama, Shigeki 1 Algom, Amir 1 Alonso-Ruiz, Patricia 1 Aoki, Miwa 1 Arauza Rivera, Andrea 1 Arzt, Peter 1 Baker, Simon 1 Balogh, Zoltán M. 1 Banjai, Lehel 1 Bárány, Balázs 1 Bedford, Tim 1 Bondarenko, Ievgen V. 1 Borodachov, Sergiy V. 1 Boulton, Lyonell S. 1 Bowen, Brady 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 Davis, Caitlin M. 1 Deng, Guotai 1 Deng, Qirong 1 Dufloux, Laurent 1 Ekström, Fredrik 1 Falk, Kurt 1 Falk, Richard S. 1 Fang, Sizhen 1 Farkas, Ábel 1 Freiberg, Uta Renata 1 Fujimura, Masayo 1 Furno, Joanna 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 Hawkins, Jane M. 1 He, Weikun 1 Héra, Kornélia 1 Hino, Masanori 1 Howroyd, Douglas C. 1 Iseli, Annina 1 Johansson, Anders 1 Jolivet, Timo 1 Jondreville, David 1 Jurga, Natalia 1 Käenmäki, Antti 1 Katiyar, Saurabh Kumar 1 Keleti, Tamás 1 Kigami, Jun 1 King, Dylan A. 1 Koçak, Şahin 1 Koivusalo, Henna 1 Kombrink, Sabrina 1 Kong, Derong 1 Kool, Janne 1 Koss, Lorelei 1 Lai, Chun-Kit 1 Lapan, Sara W. 1 Lapidus, Michel L. 1 Lee, Eun Bi 1 LeGare, Laura A. 1 Lei, Tan 1 Leobacher, Gunther ...and 75 more Authors
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#### Fields

 86 Measure and integration (28-XX) 38 Dynamical systems and ergodic theory (37-XX) 14 Number theory (11-XX) 14 Probability theory and stochastic processes (60-XX) 8 Combinatorics (05-XX) 8 Partial differential equations (35-XX) 6 Potential theory (31-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 6 Operator theory (47-XX) 5 Real functions (26-XX) 5 Functional analysis (46-XX) 5 General topology (54-XX) 4 Functions of a complex variable (30-XX) 4 Convex and discrete geometry (52-XX) 4 Numerical analysis (65-XX) 4 Quantum theory (81-XX) 3 Topological groups, Lie groups (22-XX) 3 Ordinary differential equations (34-XX) 3 Differential geometry (53-XX) 3 Computer science (68-XX) 2 Group theory and generalizations (20-XX) 2 Difference and functional equations (39-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 Sequences, series, summability (40-XX) 1 Approximations and expansions (41-XX) 1 Integral transforms, operational calculus (44-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Geometry (51-XX) 1 Algebraic topology (55-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Geophysics (86-XX)

#### Citations contained in zbMATH Open

67 Publications have been cited 285 times in 270 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
2014
Multifractal analysis of Birkhoff averages for typical infinitely generated self-affine sets. Zbl 1292.28016
Käenmäki, Antti; Reeve, Henry W. J.
2014
Dynamics of unitary operators. Zbl 1321.47076
Damanik, David; Fillman, Jake; Vance, Robert
2014
Quasi-Assouad dimension of fractals. Zbl 1345.28019
Lü, Fan; Xi, Li-Feng
2016
On the Fourier dimension and a modification. Zbl 1327.42010
Ekström, Fredrik; Persson, Tomas; Schmeling, Jörg
2015
Attractors for iterated function systems. Zbl 1345.28014
D’Aniello, Emma; Steele, Timothy H.
2016
Dimension of slices of Sierpiński-like carpets. Zbl 1305.28014
Bárány, Balázs; Rams, Michał
2014
Magnetic fields on resistance spaces. Zbl 1432.81063
Hinz, Michael; Rogers, Luke
2016
Spectral gaps of almost Mathieu operators in the exponential regime. Zbl 1410.47003
Liu, Wencai; Yuan, Xiaoping
2015
On the dimensions of attractors of random self-similar graph directed iterated function systems. Zbl 1379.28011
Troscheit, Sascha
2017
Non-spectral fractal measures with Fourier frames. Zbl 1377.28003
Lai, Chun-Kit; Wang, Yang
2017
Measure theoretic trigonometric functions. Zbl 1320.28012
Arzt, Peter
2015
Minkowski content and fractal Euler characteristic for conformal graph directed systems. Zbl 1320.28014
Kesseböhmer, Marc; Kombrink, Sabrina
2015
Ergodic theory of Kusuoka measures. Zbl 1381.37022
Johansson, Anders; Öberg, Anders; Pollicott, Mark
2017
Strong Marstrand theorems and dimensions of sets formed by subsets of hyperplanes. Zbl 1365.28003
Falconer, Kenneth; Mattila, Pertti
2016
Ends of Schreier graphs and cut-points of limit spaces of self-similar groups. Zbl 1423.20041
Bondarenko, Ievgen; D’Angeli, Daniele; Nagnibeda, Tatiana
2017
Projections of random covering sets. Zbl 1320.60032
Chen, Changhao; Koivusalo, Henna; Li, Bing; Suomala, Ville
2014
Lipschitz equivalence of self-similar sets and hyperbolic boundaries. II. Zbl 1318.28020
Deng, Guo-Tai; Lau, Ka-Sing; Luo, Jun Jason
2015
Approximation using hidden variable fractal interpolation function. Zbl 1318.28017
Chand, Arya K. B.; Katiyar, Saurabh K.; Viswanathan, Puthan V.
2015
Boundary value problems on a half Sierpiński gasket. Zbl 1294.28010
Li, Weilin; Strichartz, Robert S.
2014
Quantization and centroidal Voronoi tessellations for probability measures on dyadic Cantor sets. Zbl 1388.60016
Roychowdhury, Mrinal Kanti
2017
The infinite derivatives of Okamoto’s self-affine functions: an application of $$\beta$$-expansions. Zbl 1350.26006
Allaart, Pieter C.
2016
Some properties of energy measures on Sierpinski gasket type fractals. Zbl 1357.28011
Hino, Masanori
2016
Fractal dual substitution tilings. Zbl 1418.37029
Frank, Natalie Priebe; Webster, Samuel B. G.; Whittaker, Michael F.
2016
Mixed spectral regimes for square Fibonacci Hamiltonians. Zbl 1370.47033
Fillman, Jake; Takahashi, Yuki; Yessen, William
2016
Measures and functions with prescribed homogeneous multifractal spectrum. Zbl 1305.28017
Buczolich, Zoltán; Seuret, Stéphane
2014
Scaling exponents of curvature measures. Zbl 1317.28003
Pokorný, Dušan; Winter, Steffen
2014
$$p$$-adic path set fractals and arithmetic. Zbl 1291.11107
Abram, William C.; Lagarias, Jeffrey C.
2014
On the packing measure of slices of self-similar sets. Zbl 1332.28015
Orponen, Tuomas
2015
Completely symmetric resistance forms on the stretched Sierpiński gasket. Zbl 1397.31003
Ruiz, Patricia Alonso; Freiberg, Uta R.; Kigami, Jun
2018
$$C^m$$ 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.
2018
Affine embeddings of Cantor sets on the line. Zbl 1403.28004
Algom, Amir
2018
Intersections of multiplicative translates of 3-adic Cantor sets. Zbl 1332.11074
Abram, William C.; Lagarias, Jeffrey C.
2014
Minkowski dimension of Brownian motion with drift. Zbl 1305.60076
Charmoy, Philippe H. A.; Peres, Yuval; Sousi, Perla
2014
On McMullen-like mappings. Zbl 1345.37045
Garijo, Antonio; Godillon, Sébastien
2015
On the equality of Hausdorff measure and Hausdorff content. Zbl 1334.28012
Farkas, Ábel; Fraser, Jonathan M.
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
2017
On the Hausdorff and packing measures of slices of dynamically defined sets. Zbl 1345.28021
Rapaport, Ariel
2016
The Hausdorff dimension of sets of numbers defined by their $$Q$$-Cantor series expansions. Zbl 1350.28007
Airey, Dylan; Mance, Bill
2016
Local dimensions of measures of finite type. Zbl 1396.28011
Hare, Kathryn E.; Hare, Kevin G.; Matthews, Kevin R.
2016
Eigenvalue bounds and spectral asymptotics for fractal Laplacians. Zbl 1431.34090
Pinasco, Juan Pablo; Scarola, Cristian
2019
Bifurcation sets arising from non-integer base expansions. Zbl 1435.11102
Allaart, Pieter; Baker, Simon; Kong, Derong
2019
Attractors of iterated function systems with uncountably many maps and infinite sums of Cantor sets. Zbl 1396.28016
Mantica, Giorgio; Peirone, Roberto
2017
Rugh, Hans Henrik; Tan, Lei
2015
Dimensions of graphs of prevalent continuous maps. Zbl 1365.28005
Balka, Richárd
2016
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
2018
Spectral triples for the variants of the Sierpiński gasket. Zbl 1428.28010
Arauza Rivera, Andrea
2019
Hausdorff dimension of unions of affine subspaces and of Furstenberg-type sets. Zbl 1426.28009
Héra, Kornélia; Keleti, Tamás; Máthé, András
2019
A topological separation condition for fractal attractors. Zbl 1336.28007
Bedford, Tim; Borodachov, Sergiy V.; Geronimo, Jeffrey S.
2014
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.
2020
On the viscous Burgers equation on metric graphs and fractals. Zbl 1445.35292
Hinz, Michael; Meinert, Melissa
2020
Connectedness locus for pairs of affine maps and zeros of power series. Zbl 1331.28021
Solomyak, Boris
2015
Embedding topological fractals in universal spaces. Zbl 1332.28011
Banakh, Taras; Strobin, Filip
2015
Hausdorff dimension of the graph of an operator semistable Lévy process. Zbl 1362.60046
Wedrich, Lina
2017
Graph-directed sprays and their tube volumes via functional equations. Zbl 1364.28005
Çelik, Derya; Koçak, Şahin; Özdemir, Yunus; Üreyen, Adem Ersin
2017
Spatial equidistribution of combinatorial number schemes. Zbl 1375.28014
Greinecker, Florian
2017
Uniform dimension results for fractional Brownian motion. Zbl 1376.60060
Balka, Richárd; Peres, Yuval
2017
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.
2018
Asymptotic perturbation of graph iterated function systems. Zbl 1364.37034
Tanaka, Haruyoshi
2016
On transfer operators on the circle with trigonometric weights. Zbl 1400.37026
Chen, Xianghong; Volkmer, Hans
2018
Non-degeneracy of the harmonic structure on Sierpiński gaskets. Zbl 1414.28022
Tsougkas, Konstantinos
2019
Quantization of the affine group of a local field. Zbl 1420.81017
Gayral, Victor; Jondreville, David
2019
Marstrand type projection theorems for normed spaces. Zbl 1431.28005
Balogh, Zoltán M.; Iseli, Annina
2019
A p.c.f. self-similar set with no self-similar energy. Zbl 1434.31007
Peirone, Roberto
2019
Quasi-doubling of self-similar measures with overlaps. Zbl 1455.28006
Hare, Kathryn E.; Hare, Kevin G.; Troscheit, Sascha
2020
Orthogonal projections of discretized sets. Zbl 1455.28007
He, Weikun
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.
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.
2020
On the viscous Burgers equation on metric graphs and fractals. Zbl 1445.35292
Hinz, Michael; Meinert, Melissa
2020
Quasi-doubling of self-similar measures with overlaps. Zbl 1455.28006
Hare, Kathryn E.; Hare, Kevin G.; Troscheit, Sascha
2020
Orthogonal projections of discretized sets. Zbl 1455.28007
He, Weikun
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.
2020
Eigenvalue bounds and spectral asymptotics for fractal Laplacians. Zbl 1431.34090
Pinasco, Juan Pablo; Scarola, Cristian
2019
Bifurcation sets arising from non-integer base expansions. Zbl 1435.11102
Allaart, Pieter; Baker, Simon; Kong, Derong
2019
Spectral triples for the variants of the Sierpiński gasket. Zbl 1428.28010
Arauza Rivera, Andrea
2019
Hausdorff dimension of unions of affine subspaces and of Furstenberg-type sets. Zbl 1426.28009
Héra, Kornélia; Keleti, Tamás; Máthé, András
2019
Non-degeneracy of the harmonic structure on Sierpiński gaskets. Zbl 1414.28022
Tsougkas, Konstantinos
2019
Quantization of the affine group of a local field. Zbl 1420.81017
Gayral, Victor; Jondreville, David
2019
Marstrand type projection theorems for normed spaces. Zbl 1431.28005
Balogh, Zoltán M.; Iseli, Annina
2019
A p.c.f. self-similar set with no self-similar energy. Zbl 1434.31007
Peirone, Roberto
2019
Completely symmetric resistance forms on the stretched Sierpiński gasket. Zbl 1397.31003
Ruiz, Patricia Alonso; Freiberg, Uta R.; Kigami, Jun
2018
$$C^m$$ 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.
2018
Affine embeddings of Cantor sets on the line. Zbl 1403.28004
Algom, Amir
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
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.
2018
On transfer operators on the circle with trigonometric weights. Zbl 1400.37026
Chen, Xianghong; Volkmer, Hans
2018
On the dimensions of attractors of random self-similar graph directed iterated function systems. Zbl 1379.28011
Troscheit, Sascha
2017
Non-spectral fractal measures with Fourier frames. Zbl 1377.28003
Lai, Chun-Kit; Wang, Yang
2017
Ergodic theory of Kusuoka measures. Zbl 1381.37022
Johansson, Anders; Öberg, Anders; Pollicott, Mark
2017
Ends of Schreier graphs and cut-points of limit spaces of self-similar groups. Zbl 1423.20041
Bondarenko, Ievgen; D&rsquo;Angeli, Daniele; Nagnibeda, Tatiana
2017
Quantization and centroidal Voronoi tessellations for probability measures on dyadic Cantor sets. Zbl 1388.60016
Roychowdhury, Mrinal Kanti
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
2017
Attractors of iterated function systems with uncountably many maps and infinite sums of Cantor sets. Zbl 1396.28016
Mantica, Giorgio; Peirone, Roberto
2017
Hausdorff dimension of the graph of an operator semistable Lévy process. Zbl 1362.60046
Wedrich, Lina
2017
Graph-directed sprays and their tube volumes via functional equations. Zbl 1364.28005
Çelik, Derya; Koçak, Şahin; Özdemir, Yunus; Üreyen, Adem Ersin
2017
Spatial equidistribution of combinatorial number schemes. Zbl 1375.28014
Greinecker, Florian
2017
Uniform dimension results for fractional Brownian motion. Zbl 1376.60060
Balka, Richárd; Peres, Yuval
2017
Quasi-Assouad dimension of fractals. Zbl 1345.28019
Lü, Fan; Xi, Li-Feng
2016
Attractors for iterated function systems. Zbl 1345.28014
D&rsquo;Aniello, Emma; Steele, Timothy H.
2016
Magnetic fields on resistance spaces. Zbl 1432.81063
Hinz, Michael; Rogers, Luke
2016
Strong Marstrand theorems and dimensions of sets formed by subsets of hyperplanes. Zbl 1365.28003
Falconer, Kenneth; Mattila, Pertti
2016
The infinite derivatives of Okamoto’s self-affine functions: an application of $$\beta$$-expansions. Zbl 1350.26006
Allaart, Pieter C.
2016
Some properties of energy measures on Sierpinski gasket type fractals. Zbl 1357.28011
Hino, Masanori
2016
Fractal dual substitution tilings. Zbl 1418.37029
Frank, Natalie Priebe; Webster, Samuel B. G.; Whittaker, Michael F.
2016
Mixed spectral regimes for square Fibonacci Hamiltonians. Zbl 1370.47033
Fillman, Jake; Takahashi, Yuki; Yessen, William
2016
On the Hausdorff and packing measures of slices of dynamically defined sets. Zbl 1345.28021
Rapaport, Ariel
2016
The Hausdorff dimension of sets of numbers defined by their $$Q$$-Cantor series expansions. Zbl 1350.28007
Airey, Dylan; Mance, Bill
2016
Local dimensions of measures of finite type. Zbl 1396.28011
Hare, Kathryn E.; Hare, Kevin G.; Matthews, Kevin R.
2016
Dimensions of graphs of prevalent continuous maps. Zbl 1365.28005
Balka, Richárd
2016
Asymptotic perturbation of graph iterated function systems. Zbl 1364.37034
Tanaka, Haruyoshi
2016
On the Fourier dimension and a modification. Zbl 1327.42010
Ekström, Fredrik; Persson, Tomas; Schmeling, Jörg
2015
Spectral gaps of almost Mathieu operators in the exponential regime. Zbl 1410.47003
Liu, Wencai; Yuan, Xiaoping
2015
Measure theoretic trigonometric functions. Zbl 1320.28012
Arzt, Peter
2015
Minkowski content and fractal Euler characteristic for conformal graph directed systems. Zbl 1320.28014
Kesseböhmer, Marc; Kombrink, Sabrina
2015
Lipschitz equivalence of self-similar sets and hyperbolic boundaries. II. Zbl 1318.28020
Deng, Guo-Tai; Lau, Ka-Sing; Luo, Jun Jason
2015
Approximation using hidden variable fractal interpolation function. Zbl 1318.28017
Chand, Arya K. B.; Katiyar, Saurabh K.; Viswanathan, Puthan V.
2015
On the packing measure of slices of self-similar sets. Zbl 1332.28015
Orponen, Tuomas
2015
On McMullen-like mappings. Zbl 1345.37045
Garijo, Antonio; Godillon, Sébastien
2015
On the equality of Hausdorff measure and Hausdorff content. Zbl 1334.28012
Farkas, Ábel; Fraser, Jonathan M.
2015
Rugh, Hans Henrik; Tan, Lei
2015
Connectedness locus for pairs of affine maps and zeros of power series. Zbl 1331.28021
Solomyak, Boris
2015
Embedding topological fractals in universal spaces. Zbl 1332.28011
Banakh, Taras; Strobin, Filip
2015
Distribution of full cylinders and the Diophantine properties of the orbits in $$\beta$$-expansions. Zbl 1309.11062
Bugeaud, Yann; Wang, Bao-Wei
2014
Multifractal analysis of Birkhoff averages for typical infinitely generated self-affine sets. Zbl 1292.28016
Käenmäki, Antti; Reeve, Henry W. J.
2014
Dynamics of unitary operators. Zbl 1321.47076
Damanik, David; Fillman, Jake; Vance, Robert
2014
Dimension of slices of Sierpiński-like carpets. Zbl 1305.28014
Bárány, Balázs; Rams, Michał
2014
Projections of random covering sets. Zbl 1320.60032
Chen, Changhao; Koivusalo, Henna; Li, Bing; Suomala, Ville
2014
Boundary value problems on a half Sierpiński gasket. Zbl 1294.28010
Li, Weilin; Strichartz, Robert S.
2014
Measures and functions with prescribed homogeneous multifractal spectrum. Zbl 1305.28017
Buczolich, Zoltán; Seuret, Stéphane
2014
Scaling exponents of curvature measures. Zbl 1317.28003
Pokorný, Dušan; Winter, Steffen
2014
$$p$$-adic path set fractals and arithmetic. Zbl 1291.11107
Abram, William C.; Lagarias, Jeffrey C.
2014
Intersections of multiplicative translates of 3-adic Cantor sets. Zbl 1332.11074
Abram, William C.; Lagarias, Jeffrey C.
2014
Minkowski dimension of Brownian motion with drift. Zbl 1305.60076
Charmoy, Philippe H. A.; Peres, Yuval; Sousi, Perla
2014
A topological separation condition for fractal attractors. Zbl 1336.28007
Bedford, Tim; Borodachov, Sergiy V.; Geronimo, Jeffrey S.
2014
all top 5

#### Cited by 340 Authors

 10 Fillman, Jake 8 Troscheit, Sascha 7 Fraser, Jonathan MacDonald 6 Damanik, David 6 Käenmäki, Antti 6 Kong, Derong 6 Qiu, Hua 5 Allaart, Pieter C. 5 Hare, Kathryn E. 5 Kombrink, Sabrina 5 Morris, Ian D. 5 Roychowdhury, Mrinal Kanti 5 Shmerkin, Pablo S. 5 Winter, Steffen 4 Abram, William C. 4 Cao, Shiping 4 Chand, Arya Kumar Bedabrata 4 D’angeli, Daniele 4 Hare, Kevin G. 4 Kesseböhmer, Marc 4 Lagarias, Jeffrey C. 4 Lai, Chun-Kit 4 Li, Bing 4 Li, Wenxia 4 Liu, Jia 4 Mance, Bill 4 Ong, Darren C. 4 Pollicott, Mark 4 Rodaro, Emanuele 4 Strichartz, Robert S. 4 Teplyaev, Alexander 4 Wang, Baowei 4 Wu, Jun 3 Airey, Dylan 3 Bárány, Balázs 3 Falconer, Kenneth J. 3 Fang, Lulu 3 Hambrook, Kyle 3 Järvenpää, Maarit 3 Katiyar, Saurabh Kumar 3 Lapidus, Michel L. 3 Lau, Kasing 3 Liu, Wencai 3 Ngai, Sze-Man 3 Persson, Tomas 3 Rapaport, Ariel 3 Rossi, Eino 3 Selmi, Bilel 3 Seuret, Stéphane 3 Strobin, Filip 3 Suomala, Ville 3 Urbański, Mariusz 3 Xi, Lifeng 3 Xiong, Ying 3 Yang, Fei 3 Yuan, Xiaoping 3 Zheng, Lixuan 3 Zhou, Qinglong 2 Aerts, Diederik Emiel 2 Asch, Joachim 2 Bessi, Ugo 2 Chen, Haipeng 2 Chousionis, Vasileios 2 Chung, Kwokwai 2 Çömez, Doḡan 2 Czachor, Marek 2 D’Aniello, Emma 2 Feng, De-Jun 2 Fu, Xiaoye 2 Garcia, Ignacio 2 Gorodetski, Anton 2 Gu, Qingsong 2 Hinz, Michael 2 Hussain, Mumtaz 2 Järvenpää, Esa 2 Jenkinson, Oliver 2 Joye, Alain 2 Jurga, Natalia 2 Keleti, Tamás 2 Kelleher, Daniel J. 2 Kempton, Tom 2 Koivusalo, Henna 2 Kuna, Maciej 2 Lenz, Daniel H. 2 Leśniak, Krzysztof 2 Leykekhman, Dmitriy 2 Li, Yaoqiang 2 Liu, Bochen 2 Lu, Fan 2 Lü, Meiying 2 Maślanka, Łukasz 2 Mendivil, Franklin 2 Nagnibeda, Tatiana 2 Ouyang, Peichang 2 Pearse, Erin Peter James 2 Samuel, Tony 2 Snigireva, Nina 2 Tan, Bo 2 Tang, Xiaosong 2 Weyer, Hendrik ...and 240 more Authors
all top 5

#### Cited in 105 Journals

 16 Advances in Mathematics 16 Fractals 15 Journal of Mathematical Analysis and Applications 13 Ergodic Theory and Dynamical Systems 13 Journal of Fractal Geometry 8 Transactions of the American Mathematical Society 6 Israel Journal of Mathematics 6 Nonlinearity 6 Journal of Functional Analysis 5 Proceedings of the American Mathematical Society 5 Discrete and Continuous Dynamical Systems 4 Communications in Mathematical Physics 4 Journal of Mathematical Physics 4 Journal of Number Theory 4 Mathematische Zeitschrift 4 Advances in Applied Mathematics 4 Communications on Pure and Applied Analysis 3 Bulletin of the Australian Mathematical Society 3 Mathematical Proceedings of the Cambridge Philosophical Society 3 Rocky Mountain Journal of Mathematics 3 Monatshefte für Mathematik 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Letters in Mathematical Physics 2 Studia Mathematica 2 Arkiv för Matematik 2 Chaos, Solitons and Fractals 2 Canadian Mathematical Bulletin 2 Geometriae Dedicata 2 Illinois Journal of Mathematics 2 Results in Mathematics 2 Probability Theory and Related Fields 2 Geometric and Functional Analysis. GAFA 2 Journal of Dynamics and Differential Equations 2 Potential Analysis 2 Topological Methods in Nonlinear Analysis 2 Selecta Mathematica. New Series 2 The Journal of Fourier Analysis and Applications 2 Annals of Mathematics. Second Series 2 Communications in Nonlinear Science and Numerical Simulation 2 Annales Henri Poincaré 2 Dynamical Systems 2 Oberwolfach Reports 2 International Journal of Number Theory 2 Discrete and Continuous Dynamical Systems. Series S 2 Journal of Spectral Theory 1 Advances in Applied Probability 1 Journal d’Analyse Mathématique 1 Journal of Statistical Physics 1 Physics Letters. A 1 Reports on Mathematical Physics 1 Reviews in Mathematical Physics 1 Journal of Geometry and Physics 1 The Mathematical Intelligencer 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 The Annals of Probability 1 Applied Mathematics and Computation 1 Archiv der Mathematik 1 Czechoslovak Mathematical Journal 1 Indiana University Mathematics Journal 1 Integral Equations and Operator Theory 1 Journal of Algebra 1 Journal of Approximation Theory 1 Mathematische Annalen 1 Mathematika 1 Memoirs of the American Mathematical Society 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Proceedings of the London Mathematical Society. Third Series 1 Real Analysis Exchange 1 Zeitschrift für Analysis und ihre Anwendungen 1 Note di Matematica 1 Statistics & Probability Letters 1 Probability and Mathematical Statistics 1 Constructive Approximation 1 Revista Matemática Iberoamericana 1 Journal of Theoretical Probability 1 SIAM Journal on Matrix Analysis and Applications 1 International Journal of Algebra and Computation 1 Aequationes Mathematicae 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 SIAM Review 1 Stochastic Processes and their Applications 1 Indagationes Mathematicae. New Series 1 Topology Proceedings 1 Turkish Journal of Mathematics 1 Complexity 1 Journal of Difference Equations and Applications 1 Electronic Journal of Probability 1 Annales Academiae Scientiarum Fennicae. Mathematica 1 Conformal Geometry and Dynamics 1 Infinite Dimensional Analysis, Quantum Probability and Related Topics 1 Chaos 1 Journal of the European Mathematical Society (JEMS) 1 Qualitative Theory of Dynamical Systems 1 Journal of Evolution Equations 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Stochastics and Dynamics 1 Boundary Value Problems 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Analysis & PDE ...and 5 more Journals
all top 5

#### Cited in 39 Fields

 189 Measure and integration (28-XX) 86 Dynamical systems and ergodic theory (37-XX) 52 Number theory (11-XX) 45 Probability theory and stochastic processes (60-XX) 24 Operator theory (47-XX) 21 Harmonic analysis on Euclidean spaces (42-XX) 20 Partial differential equations (35-XX) 17 Quantum theory (81-XX) 16 Real functions (26-XX) 11 Combinatorics (05-XX) 11 Ordinary differential equations (34-XX) 11 Statistical mechanics, structure of matter (82-XX) 8 Functional analysis (46-XX) 8 General topology (54-XX) 8 Numerical analysis (65-XX) 8 Computer science (68-XX) 7 Potential theory (31-XX) 6 Group theory and generalizations (20-XX) 5 Functions of a complex variable (30-XX) 5 Convex and discrete geometry (52-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 Approximations and expansions (41-XX) 4 Statistics (62-XX) 3 General and overarching topics; collections (00-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Differential geometry (53-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Abstract harmonic analysis (43-XX) 2 Information and communication theory, circuits (94-XX) 1 Mathematical logic and foundations (03-XX) 1 Field theory and polynomials (12-XX) 1 Category theory; homological algebra (18-XX) 1 Topological groups, Lie groups (22-XX) 1 Special functions (33-XX) 1 Sequences, series, summability (40-XX) 1 Integral equations (45-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Geometry (51-XX) 1 Optics, electromagnetic theory (78-XX)