FractalsComplex Geometry, Patterns, and Scaling in Nature and Society Short Title: Fractals Publisher: World Scientific, Singapore ISSN: 0218-348X; 1793-6543/e Online: https://www.worldscientific.com/loi/fractals Documents Indexed: 883 Publications (since 1993) References Indexed: 611 Publications with 11,979 References. all top 5 Latest Issues 28, No. 6 (2020) 28, No. 5 (2020) 28, No. 4 (2020) 28, No. 3 (2020) 28, No. 2 (2020) 28, No. 1 (2020) 27, No. 8 (2019) 27, No. 7 (2019) 27, No. 6 (2019) 27, No. 5 (2019) 27, No. 4 (2019) 27, No. 3 (2019) 27, No. 2 (2019) 27, No. 1 (2019) 26, No. 6 (2018) 26, No. 5 (2018) 26, No. 4 (2018) 26, No. 3 (2018) 26, No. 2 (2018) 26, No. 1 (2018) 25, No. 6 (2017) 25, No. 5 (2017) 25, No. 3 (2017) 25, No. 2 (2017) 25, No. 1 (2017) 24, No. 4 (2016) 24, No. 3 (2016) 24, No. 2 (2016) 24, No. 1 (2016) 23, No. 4 (2015) 23, No. 3 (2015) 23, No. 2 (2015) 22, No. 4 (2014) 22, No. 1-2 (2014) 21, No. 3-4 (2013) 21, No. 2 (2013) 21, No. 1 (2013) 20, No. 3-4 (2012) 20, No. 2 (2012) 20, No. 1 (2012) 19, No. 4 (2011) 19, No. 3 (2011) 19, No. 2 (2011) 19, No. 1 (2011) 18, No. 4 (2010) 18, No. 3 (2010) 18, No. 2 (2010) 18, No. 1 (2010) 17, No. 4 (2009) 17, No. 3 (2009) 17, No. 2 (2009) 17, No. 1 (2009) 16, No. 4 (2008) 16, No. 3 (2008) 16, No. 2 (2008) 15, No. 4 (2007) 15, No. 3 (2007) 15, No. 2 (2007) 15, No. 1 (2007) 14, No. 4 (2006) 14, No. 3 (2006) 14, No. 2 (2006) 14, No. 1 (2006) 13, No. 4 (2005) 13, No. 3 (2005) 13, No. 2 (2005) 13, No. 1 (2005) 12, No. 4 (2004) 12, No. 3 (2004) 12, No. 2 (2004) 12, No. 1 (2004) 11, No. 4 (2003) 11, No. 3 (2003) 11, No. 2 (2003) 11, No. 1 (2003) 11, Suppl. 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Eugene 8 Takayasu, Hideki 8 Veneziano, Daniele 8 Wang, Qin 8 Yu, Boming 7 Frame, Michael L. 7 Li, Wenxia 6 Brown, Christopher A. 6 Strichartz, Robert S. 6 Yao, Kui 6 Ye, Qianqian 5 Bory Reyes, Juan 5 Buldyrev, Sergey V. 5 Gu, Jiangwen 5 Jiang, Kan 5 Lévy Véhel, Jacques 5 Liu, Xiangdong 5 Pietronero, Luciano 5 Rochon, Dominic 5 Roux, Stéphane G. 5 Skordev, Gencho S. 5 Steinhurst, Benjamin 5 Vrscay, Edward Robert 5 Wang, Xiaoqian 5 Xue, Yumei 4 Demir, Bunyamin 4 Deng, Juan 4 Dewey, T. Gregory 4 Feng, Zhigang 4 Gangal, Anil D. 4 Herrmann, Hans Jürgen 4 Kapoor, Govind P. 4 Li, Yin 4 Liaw, Sy-Sang 4 Liu, Jingcheng 4 Lu, Jian 4 Luo, Jun 4 Mendivil, Franklin 4 Peitgen, Heinz-Otto 4 Rao, Hui 4 Shlesinger, Michael F. 4 Sun, Yu 4 Tan, Bo 4 Tian, Li 4 Tosan, Eric 4 Uthayakumar, Ramasamy 4 Xie, Heping 4 Zhu, Jiali 4 Zhu, Weiyong 4 Zou, Yuru 3 Barbé, André M. 3 Ben Slimane, Mourad 3 Bunde, Armin 3 Cai, Jianchao 3 Chen, Jin 3 Chen, Yufei 3 Coniglio, Antonio 3 Datta, Dhurjati Prasad 3 Dekking, Frederik Michel 3 Ding, Jiu 3 Dong, Xinhan 3 Evertsz, Carl J. G. 3 Family, Fereydoon 3 Frankel, Norman E. 3 Furcolo, Pierluigi 3 Ghosh, Dipak 3 Hansen, Alex 3 Hilfer, Rudolf 3 Huillet, Thierry E. 3 Jestczemski, F. 3 Jøssang, Torstein 3 Ju, Tingting 3 Kim, Jinmyong 3 Kim, Kyungsik 3 La Torre, Davide 3 Lanski, Jennifer 3 Li, Changpin 3 Li, Yanzhe 3 Liang, Yongshun 3 Meakin, Paul 3 Miyazima, Sasuke 3 Monro, Donald M. 3 Mun, Hakmyong 3 Palagallo, Judith A. 3 Pan, Xuezai 3 Parvate, Abhay 3 Prasad, Srijanani Anurag 3 Puente, Carlos E. 3 Ren, Xiaomin 3 Ri, Songil 3 Roman, H. Eduardo ...and 1,304 more Authors all top 5 Fields 472 Measure and integration (28-XX) 149 Dynamical systems and ergodic theory (37-XX) 97 Probability theory and stochastic processes (60-XX) 83 Statistical mechanics, structure of matter (82-XX) 71 Biology and other natural sciences (92-XX) 62 Computer science (68-XX) 53 Real functions (26-XX) 46 Fluid mechanics (76-XX) 39 Numerical analysis (65-XX) 39 Information and communication theory, circuits (94-XX) 38 Combinatorics (05-XX) 32 Statistics (62-XX) 30 Partial differential equations (35-XX) 25 Geophysics (86-XX) 24 Harmonic analysis on Euclidean spaces (42-XX) 23 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 20 Number theory (11-XX) 20 Mechanics of deformable solids (74-XX) 19 General and overarching topics; collections (00-XX) 18 Ordinary differential equations (34-XX) 14 Approximations and expansions (41-XX) 11 Operations research, mathematical programming (90-XX) 10 Global analysis, analysis on manifolds (58-XX) 8 Functions of a complex variable (30-XX) 7 Convex and discrete geometry (52-XX) 7 General topology (54-XX) 7 Optics, electromagnetic theory (78-XX) 6 Classical thermodynamics, heat transfer (80-XX) 5 Difference and functional equations (39-XX) 5 Quantum theory (81-XX) 5 Astronomy and astrophysics (85-XX) 4 Mechanics of particles and systems (70-XX) 3 Functional analysis (46-XX) 3 Differential geometry (53-XX) 3 Relativity and gravitational theory (83-XX) 2 Mathematical logic and foundations (03-XX) 2 Potential theory (31-XX) 2 Special functions (33-XX) 2 Abstract harmonic analysis (43-XX) 2 Integral transforms, operational calculus (44-XX) 2 Integral equations (45-XX) 2 Operator theory (47-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 1 History and biography (01-XX) 1 Algebraic geometry (14-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Associative rings and algebras (16-XX) 1 Group theory and generalizations (20-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Sequences, series, summability (40-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 435 Publications have been cited 2,222 times in 1,662 Documents Cited by ▼ Year ▼ Estimators for long-range dependence: An empirical study. Zbl 0864.62061Taqqu, Murad S.; Teverovsky, Vadim; Willinger, Walter 77 1995 The relationship between fractional calculus and fractals. Zbl 0877.28009Tatom, Frank B. 57 1995 Distributed order fractional sub-diffusion. Zbl 1083.60066Naber, Mark 55 2004 Bivariate fractal interpolation functions on grids. Zbl 1088.28502Dalla, Leoni 42 2002 The study of bivariate fractal interpolation functions and creation of fractal interpolated surfaces. Zbl 0908.65005Xie, Heping; Sun, Hongquan 37 1997 Hidden variable bivariate fractal interpolation surfaces. Zbl 1046.28004Chand, A. K. B.; Kapoor, G. P. 33 2003 On the Riemann-Liouville fractional calculus and some recent applications. Zbl 0868.26004Nonnenmacher, Theo F.; Metzler, Ralf 32 1995 A generalized Mandelbrot set for bicomplex numbers. Zbl 0969.37021Rochon, Dominic 31 2000 A fractal valued random iteration algorithm and fractal hierarchy. Zbl 1304.28004Barnsley, Michael; Hutchinson, John; Stenflo, Örjan 28 2005 Simulation methods for linear fractional stable motion and FARIMA using the fast Fourier transform. Zbl 1083.65005Stoev, Stilian; Taqqu, Murad S. 28 2004 Cooperative strategies in formation of complex bacterial patterns. Zbl 0869.92002Ben-Jacob, Eshel; Shochet, Ofer; Cohen, Inon; Tenenbaum, Adam; Czirók, Andras; Vicsek, Tamas 28 1995 Calculus on fractal subsets of real line. I: Formulation. Zbl 1173.28005Parvate, Abhay; Gangal, A. D. 27 2009 Dimensions of self-affine fractals and multifractals generated by upper-triangular matrices. Zbl 1137.28302Falconer, Kenneth; Miao, Jun 26 2007 Multifractal cascade dynamics and turbulent intermittency. Zbl 0927.76044Schertzer, D.; Lovejoy, S.; Schmitt, F.; Chigirinskaya, Y.; Marsan, D. 24 1997 Topological structure of self-similar sets. Zbl 1075.28005Luo, Jun; Rao, Hui; Tan, Bo 24 2002 Fractal bases of \(L_p\) spaces. Zbl 1251.28009Navascués, M. A. 23 2012 On Hadamard fractional calculus. Zbl 1371.26009Ma, Li; Li, Changpin 23 2017 First-order network coherence and eigentime identity on the weighted Cayley networks. Zbl 1421.05083Dai, Meifeng; Wang, Xiaoqian; Zong, Yue; Zou, Jiahui; Chen, Yufei; Su, Weiyi 22 2017 On fractional relaxation. Zbl 1140.82315Hilfer, R. 21 2003 Hidden variable vector valued fractal interpolation functions. Zbl 1100.41011Bouboulis, P.; Dalla, L. 21 2005 On the dimension of self-similar sets. Zbl 1088.28504Simon, Károly; Solomyak, Boris 20 2002 Analysis of fractional differential equations with multi-orders. Zbl 1176.34008Deng, Weihua; Li, Changpin; Guo, Qian 20 2007 Exact solutions for a class of fractal time random walks. Zbl 0881.60066Hilfer, R. 19 1995 Foundations of fractional dynamics. Zbl 0870.58041Hilfer, R. 18 1995 Analysis of \(\mathbb{C}\)-plane fractal images from \(z \leftarrow z^{\alpha} + c\) for \((\alpha < 0)\). Zbl 1211.37059Wang, Xingyuan; Liu, Xiangdong; Zhu, Weiyong; Gu, Shusheng 18 2000 Average geodesic distance of Sierpinski gasket and Sierpinski networks. Zbl 1375.28020Wang, Songjing; Yu, Zhouyu; Xi, Lifeng 16 2017 Nonextensive thermostatics and fractals. Zbl 0870.58098Tsallis, Constantino 16 1995 Central limit theorem for the log-regression wavelet estimation of the memory parameter in the Gaussian semi-parametric context. Zbl 1141.62073Moulines, E.; Roueff, F.; Taqqu, Murad S. 15 2007 Fractal image compression. Zbl 0903.68211Fisher, Yuval 15 1994 Path properties of the linear multifractional stable motion. Zbl 1304.28010Stoev, Stilian; Taqqu, Murad S. 15 2005 Modifications at large distances from fractional and fractal arguments. Zbl 1196.28014El-Nabulsi, Rami Ahmad 15 2010 Estimation and simulation of fractal stochastic point processes. Zbl 0881.60044Lowen, Steven B.; Teich, Malvin C. 15 1995 Normal families of bicomplex holomorphic functions. Zbl 1230.30032Charak, K. S.; Rochon, D.; Sharma, N. 15 2009 Vibration spectra of finitely ramifield, symmetric fractals. Zbl 1160.28302Bajorin, N.; Chen, T.; Dagan, A.; Emmons, C.; Hussein, M.; Khalil, M.; Mody, P.; Steinhurst, B.; Teplyaev, A. 15 2008 Analysis, synthesis, and estimation of fractal-rate stochastic point processes. Zbl 0907.62093Thurner, Stefan; Lowen, Steven B.; Feurstein, Markus C.; Heneghan, Conor; Feichtinger, Hans G.; Teich, Malvin C. 14 1997 A technique in the topology of connected self-similar tiles. Zbl 1304.28009Ngai, Sze-Man; Tang, Tai-Man 14 2004 On a generalized Fatou-Julia theorem in multicomplex spaces. Zbl 1177.30068Garant-Pelletier, V.; Rochon, D. 14 2009 Explicit construction of operator scaling Gaussian random fields. Zbl 1233.60027Clausel, M.; Vedel, B. 13 2011 Definition, properties and wavelet analysis of multiscale fractional Brownian motion. Zbl 1142.60329Bardet, Jean-Marc; Bertrand, Pierre 13 2007 On a generalized Fatou-Julia theorem. Zbl 1041.37023Rochon, Dominic 13 2003 Green’s functions on fractals. Zbl 0983.31005Kigami, Jun; Sheldon, Daniel R.; Strichartz, Robert S. 12 2000 On stability of fractal interpolation. Zbl 0974.28003Feng, Zhigang; Xie, Heping 12 1998 Box dimensions of {\(\alpha\)}-fractal functions. Zbl 1354.28002Akhtar, Md. Nasim; Prasad, M. Guru Prem; Navascués, M. A. 12 2016 Calculus on fractal curves in \(\mathbb{R}^{n}\). Zbl 1217.28014Parvate, Abhay; Satin, Seema; Gangal, A. D. 11 2011 \(1/f\) noise in a traffic model. Zbl 0906.90072Takayasu, Misako; Takayasu, Hideki 11 1993 Fractal geometry of financial time series. Zbl 0869.62073Evertsz, Carl J. G. 11 1995 An analysis of U.S. stock price behavior using wavelets. Zbl 0877.90027Ramsey, James B.; Usikov, Daniel; Zaslavsky, George M. 11 1995 Calculus on fractal subsets of real line. II: Conjugacy with ordinary calculus. Zbl 1252.28005Parvate, Abhay; Gangal, A. D. 11 2011 Vector random fields with long-range dependence. Zbl 1232.60038Ma, Chunsheng 11 2011 Fractal description of anomalous diffusion in dynamical systems. Zbl 0901.58050Klafter, J.; Zumofen, G.; Shlesinger, M. F. 10 1993 Natural cubic spline coalescence hidden variable fractal interpolation surfaces. Zbl 1250.28004Chand, A. K. B. 10 2012 Study on the fractal and chaotic features of the Shanghai composite index. Zbl 1250.91084Wen, Fenghua; Li, Zhong; Xie, Chaohua; Shaw, David 10 2012 On the automatic selection of the onset of scaling. Zbl 1056.62102Veitch, Darryl; Abry, Patrice; Taqqu, Murad S. 10 2003 Revisiting the derivation of the fractional diffusion equation. Zbl 1050.35163Scalas, Enrico; Gorenflo, Rudolf; Mainardi, Francesco; Raberto, Marco 10 2003 Generalizations of Newton’s method. Zbl 1046.37027Gilbert, William J. 10 2001 Dimension analysis of continuous functions with unbounded variation. Zbl 1371.28012Wang, Jun; Yao, Kui 10 2017 A fractal approximation to periodicity. Zbl 1148.28010Navascués, M. A. 9 2006 Beyond classical multifractal analysis using wavelets: uncovering a multiplicative process hidden in the geometrical complexity of diffusion limited aggregates. Zbl 0901.58028Arneodo, A.; Argoul, F.; Muzy, J. F.; Tabard, M.; Bacry, E. 9 1993 The fractal dimension of the Apollonian sphere packing. Zbl 0908.52008Borkovec, M.; de Paris, W.; Peikert, R. 9 1994 Is network traffic self-similar or multifractal? Zbl 0908.60078Taqqu, Murad S.; Teverovsky, Vadim; Willinger, Walter 9 1997 Numerical analysis on the Sierpinski gasket, with applications to Schrödinger equations, wave equation, and Gibbs’ phenomenon. Zbl 1304.28005Coletta, Kevin; Dias, Kealey; Strichartz, Robert S. 9 2004 Fractal approaches in signal processing. Zbl 0867.94005Lévy-Véhel, Jacques 9 1995 Some results of convergence of cubic spline fractal interpolation functions. Zbl 1053.41013Navascués, M. Antonia; Sebastián, M. Victoria 9 2003 On the Assouad dimension of graph directed Moran fractals. Zbl 1222.28017Olsen, L. 9 2011 On smoothness for a class of fractal interpolation surfaces. Zbl 1302.37020Wang, Hong-Yong 9 2006 Fractal dimension of certain continuous functions of unbounded variation. Zbl 1371.28005Liang, Y. S.; Su, W. Y. 9 2017 The connection between the orders of \(p\)-adic calculus and the dimensions of the Weierstrass type function in local fields. Zbl 1136.37321Qiu, Hua; Su, Weiyi 9 2007 Average geodesic distance of Sierpinski carpet. Zbl 1432.28015Zhao, Luming; Wang, Songjing; Xi, Lifeng 9 2017 Fractal modeling of speech signals. Zbl 1126.94308Lévy Véhel, Jacques; Daoudi, Khalid; Lutton, Evelyne 8 1994 Fractal trees with side branching. Zbl 0907.28005Newman, W. I.; Turcotte, D. L.; Gabrielov, A. M. 8 1997 Lipschitz equivalence of McMullen sets. Zbl 1290.28012Li, Boming; Li, Wenxia; Miao, Jun Jie 8 2013 The boundary of the attractor of a recurrent iterated function system. Zbl 1088.28503Dekking, F. M.; van der Wal, P. 8 2002 Convergence of the Weierstrass-Mandelbrot process to fractional Brownian motion. Zbl 0976.60042Pipiras, Vladas; Taqqu, Murad S. 8 2000 Lipschitz equivalence of general Sierpinski carpets. Zbl 1159.28004Dai, Meifeng 8 2008 Fractal interpolation functions on post critically finite self-similar sets. Zbl 1196.28019Ruan, Huo-Jun 8 2010 K-iterated function system. Zbl 1190.28004Sahu, D. R.; Chakraborty, Anindita; Dubey, R. P. 8 2010 Average distance of self-similar fractal trees. Zbl 1432.28007Li, Tingting; Jiang, Kan; Xi, Lifeng 8 2018 Rényi function for multifractal random fields. Zbl 1278.28003Leonenko, Nikolai N.; Shieh, Narn-Rueih 8 2013 Horton law in self-similar trees. Zbl 1351.28014Kovchegov, Yevgeniy; Zaliapin, Ilya 8 2016 The Hosoya index of graphs formed by a fractal graph. Zbl 1434.05039Liu, Jia-bao; Zhao, Jing; Min, Jie; Cao, Jinde 7 2019 Image compression using affine fractal interpolation on rectangular lattices. Zbl 1158.68051Drakopoulos, V.; Bouboulis, P.; Theodoridis, S. 7 2006 Cubic spline coalescence fractal interpolation through moments. Zbl 1148.28005Chand, A. K. B.; Kapoor, G. P. 7 2007 Multifractal segmentation of images. Zbl 0903.68212Lévy Véhel, Jacques; Mignot, Pascal 7 1994 Mixing in globally chaotic flows: A self-similar process. Zbl 0927.76095Hobbs, D. M.; Alvarez, M. M.; Muzzio, F. J. 7 1997 The fractal geometry of the Mandelbrot set. II: How to count and how to add. Zbl 0929.37016Devaney, Robert L. 7 1995 Statistical and linguistic features of DNA sequences. Zbl 0878.92007Havlin, S.; Buldyrev, S. V.; Goldberger, A. L.; Mantegna, R. N.; Peng, C.-K.; Simons, M.; Stanley, H. E. 7 1995 Long range correlation in human writings. Zbl 0876.00022Schenkel, Alain; Zhang, Jun; Zhang, Yi-Cheng 7 1993 On Lévy stable and semistable distributions. Zbl 1045.60010Huillet, Thierry; Porzio, Anna; Alaya, Mohamed Ben 7 2001 Hausdorff measure of Cartesian product of the ternary Cantor set. Zbl 1243.28003Deng, Juan; Rao, Hui; Wen, Zhi-Ying 7 2012 When Thue-Morse meets Koch. Zbl 1110.28007Ma, Jun; Holdener, Judy 7 2005 The quasi-sine Fibonacci hyperbolic dynamic system. Zbl 1192.37066Wang, Xing-Yuan; Ge, Feng-Dan 7 2010 Fractal trigonometric polynomials for restricted range approximation. Zbl 1351.28009Chand, A. K. B.; Navascués, M. A.; Viswanathan, P.; Katiyar, S. K. 7 2016 Cantor-type sets in hyperbolic numbers. Zbl 1357.28008Balankin, A. S.; Bory-Reyes, J.; Luna-Elizarrarás, M. E.; Shapiro, M. 6 2016 Fractal geometry of equilibrium payoffs in discounted supergames. Zbl 1306.28004Berg, Kimmo; Kitti, Mitri 6 2014 Scaling attractors of fractional differential systems. Zbl 1147.34042Li, Changpin; Deng, Weihua; Chen, Guanrong 6 2006 Solving the inverse problem for function/image approximation using iterated function systems. II: Algorithm and computations. Zbl 0923.68124Forte, Bruno; Vrscay, Edward R. 6 1994 Using linear fractal interpolation functions to compress video images. Zbl 0906.68182Ali, Maaruf; Clarkson, Trevor G. 6 1994 Identifications and dimension of the Rauzy fractal. Zbl 0902.28008Sirvent, Víctor F. 6 1997 Deterministic tree networks for fluid flow: Geometry for minimal flow resistance between a volume and one point. Zbl 0968.76603Bejan, Adrian; Errera, Marcelo R. 6 1997 Can statistical physics contribute to the science of economics? Zbl 0874.90023Stanley, Michael H. R.; Amaral, Luís A. N.; Buldyrev, Sergey V.; Havlin, Shlomo; Leschhorn, Heiko; Maass, Phillipp; Salinger, Michael A.; Stanley, H. Eugene 6 1996 Symmetry analysis for a seventh-order generalized KdV equation and its fractional version in fluid mechanics. Zbl 1434.35278Wang, Gangwei; Liu, Yixing; Wu, Yanbin; Su, Xing 3 2020 Fractal Stokes’ theorem based on integrals on fractal manifolds. Zbl 1434.28009Wu, Junru; Wang, Chengyuan 2 2020 Lower Assouad-type dimensions of uniformly perfect sets in doubling metric spaces. Zbl 1434.28014Chen, Haipeng; Wu, Min; Chang, Yuanyang 2 2020 Slow growth rate of the digits in Engel expansions. Zbl 1434.11155Shang, Lei; Wu, Min 2 2020 The effects of the Riemann-Liouville fractional integral on the box dimension of fractal graphs of Hölder continuous functions. Zbl 1434.26017Wu, Junru 2 2020 Connectedness of a class of self-affine carpets. Zbl 1441.28009Leung, King Shun; Luo, Jun Jason; Wang, Lian 1 2020 Ahlfors-David regular subsets of fractals. Zbl 1445.28013Pan, Yue; Xiong, Ying 1 2020 A lower bound of topological Hausdorff dimension of fractal squares. Zbl 1445.28021Zhang, Yan-Fang 1 2020 The Hosoya index of graphs formed by a fractal graph. Zbl 1434.05039Liu, Jia-bao; Zhao, Jing; Min, Jie; Cao, Jinde 7 2019 Certain integral inequalities considering generalized \(m\)-convexity on fractal sets and their applications. Zbl 1434.28018Du, Tingsong; Wang, Hao; Khan, Muhammad Adil; Zhang, Yao 4 2019 Blow-up phenomena profile for Hadamard fractional differential systems in finite time. Zbl 1435.34015Ma, Li 4 2019 Comparison theorems for Caputo-Hadamard fractional differential equations. Zbl 1433.34012Ma, Li 3 2019 Geodesics of higher-dimensional Sierpinski gasket. Zbl 1433.28015Gu, Jiangwen; Ye, Qianqian; Xi, Lifeng 3 2019 A remark on Wang’s fractal variational principle. Zbl 1434.35267Wang, Kang-Le; He, Chun-Hui 2 2019 Eccentric distance sum of Sierpiński gasket and Sierpiński network. Zbl 1433.28009Chen, Jin; He, Long; Wang, Qin 2 2019 Trapping problem of the weighted scale-free triangulation networks for biased walks. Zbl 1433.05286Dai, Meifeng; Ju, Tingting; Zong, Yue; He, Jiaojiao; Shen, Chunyu; Su, Weiyi 2 2019 Average geodesic distance on Sierpinski hexagon and Sierpinski hexagon networks. Zbl 1434.28046Zhu, Jiali; Tian, Li; Wang, Qin 2 2019 Arithmetic on Moran sets. Zbl 1434.26071Ren, Xiaomin; Tian, Li; Zhu, Jiali; Jiang, Kan 1 2019 Shape preserving rational quartic fractal functions. Zbl 1434.28024Katiyar, S. K.; Chand, A. K. B. 1 2019 Eigentime identities of fractal flower networks. Zbl 1433.05290Ye, Qianqian; Gu, Jiangwen; Xi, Lifeng 1 2019 Box dimension of a nonlinear fractal interpolation curve. Zbl 1433.28027Ri, Song-Il 1 2019 Divisible sandpile on Sierpinski gasket graphs. Zbl 1433.28016Huss, Wilfried; Sava-huss, Ecaterina 1 2019 Fractal sets in the field of \(p\)-adic analogue of the complex numbers. Zbl 1433.28019Li, Yin; Qiu, Hua 1 2019 Box dimension of Weyl-Marchaud fractional derivative of linear fractal interpolation functions. Zbl 1433.28025Peng, Wen Liang; Yao, Kui; Zhang, Xia; Yao, Jia 1 2019 Non-spectrality of the planar self-affine measures with four-element digit sets. Zbl 1434.28034Su, Juan; Liu, Yao; Liu, Jing-Cheng 1 2019 Asymptotic formula of average distances on fractal networks modeled by Sierpinski tetrahedron. Zbl 1434.28017Deng, Juan; Wang, Qin 1 2019 Geodesic distance on Lalley-Gatzouras carpets. Zbl 1434.28038Wang, Qin; Zhu, Yizhe; Pei, Qiyang; Xi, Lifeng 1 2019 He-Elzaki method for spatial diffusion of biological population. Zbl 1434.35277Ul Rahman, Jamshaid; Lu, Dianchen; Suleman, Muhammad; He, Ji-Huan; Ramzan, Muhammad 1 2019 Parametric iterative function system for the continuum growth: Cantor set case. Zbl 1434.28022Gutiérrez-Hernández, Sebastián; Bory-Reyes, Juan 1 2019 Average distance of substitution networks. Zbl 1434.05045Ye, Qianqian; Xi, Lifeng 1 2019 Conjectures about simple dynamics for some real Newton maps on \(\mathbb{R}^2\). Zbl 1434.34051De Leo, Roberto 1 2019 Construction of nonlinear hidden variable fractal interpolation functions and their stability. Zbl 1435.28012Kim, Jinmyong; Kim, Hyonjin; Mun, Hakmyong 1 2019 Average distance of self-similar fractal trees. Zbl 1432.28007Li, Tingting; Jiang, Kan; Xi, Lifeng 8 2018 Spectral analysis for weighted iterated triangulations of graphs. Zbl 1432.35058Chen, Yufei; Dai, Meifeng; Wang, Xiaoqian; Sun, Yu; Su, Weiyi 6 2018 A construction of the scrambled set with full Hausdorff dimension for beta-transformations. Zbl 1432.28008Liu, Wei-Bin; Huang, Cheng; Li, Mei-Hua; Wang, Shuailing 2 2018 Boundary value problem involving the \(p\)-Laplacian on the Sierpiński gasket. Zbl 1432.28010Priyadarshi, Amit; Sahu, Abhilash 2 2018 Cutting self-similar space-filling sphere packings. Zbl 1432.05027Stäger, D. V.; Herrmann, H. J. 2 2018 Geodesics of the Sierpinski gasket. Zbl 1433.28028Saltan, Mustafa; Özdemir, Yunus; Demir, Bünyamin 2 2018 The Hadamard fractional calculus of a fractal function. Zbl 1433.26009Wu, Yipeng; Yao, Kui; Zhang, Xia 2 2018 Scaling properties of first return time on weighted transfractals \((1, 3)\)-flowers. 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Zbl 1433.28031Vijender, N. 1 2018 Affine Maurer-Cartan invariants and their applications in self-affine fractals. Zbl 1433.28035Yang, Yun; Yu, Yanhua 1 2018 Markov spectra of self-similar networks by substitution rule. Zbl 1433.35441Li, Tingting; Ye, Qianqian; Xi, Lifeng 1 2018 Hausdorff dimension of the exceptional sets concerning the run-length function of beta-expansion. Zbl 1433.11099Zhang, Mengjie 1 2018 Iterated function systems with place-dependent probabilities and the inverse problem of measure approximation using moments. Zbl 1433.37021La Torre, D.; Maki, E.; Mendivil, F.; Vrscay, E. R. 1 2018 Fractal approximation of Jackson type for periodic phenomena. Zbl 1433.28023Navascués, M. A.; Jha, Sangita; Chand, A. K. B.; Sebastián, M. V. 1 2018 On Hadamard fractional calculus. Zbl 1371.26009Ma, Li; Li, Changpin 23 2017 First-order network coherence and eigentime identity on the weighted Cayley networks. 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Zbl 1342.28011Ouyang, Peichang; Yi, Hua; Deng, Zhiyun; Huang, Xuan; Yu, Tao 2 2015 ...and 335 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,507 Authors 35 Chand, Arya Kumar Bedabrata 28 Navascués, María Antonia 25 Viswanathan, Puthan Veedu 23 Su, Weiyi 22 Wang, Xingyuan 18 Xi, Lifeng 16 Strichartz, Robert S. 16 Taqqu, Murad S. 14 Băleanu, Dumitru I. 13 Vijender, Nallapu 11 Dai, Meifeng 11 Golmankhaneh, Alireza Khalili 11 Liu, Fawang 11 Rochon, Dominic 11 Yao, Kui 10 Loridant, Benoit 10 Ma, Chunsheng 10 Teplyaev, Alexander 9 Didier, Gustavo 9 Drakopoulos, Vasileios 9 Leonenko, Nikolai N. 9 Ngai, Sze-Man 9 Thuswaldner, Jörg Maximilian 8 Anh, Vo V. 8 Bárány, Balázs 8 Bardet, Jean-Marc 8 Bouboulis, Pantelis 8 Dalla, Leoni 8 El-Nabulsi, Rami Ahmad 8 Gorenflo, Rudolf 8 Liang, Yongshun 8 Mainardi, Francesco 8 Meerschaert, Mark Marvin 8 Telesca, Luciano 7 Arneodo, Alain 7 Fraser, Jonathan MacDonald 7 Hilfer, Rudolf 7 Jørgensen, Palle E. T. 7 Katiyar, Saurabh Kumar 7 Kovchegov, Yevgeniy V. 7 Lévy Véhel, Jacques 7 Machado, José António Tenreiro 7 Montoya, Fausto 7 Pastor, Gerardo 7 Prasad, M. Guru Prem 7 Romera, Miguel 7 Stanley, H. Eugene 7 Stenflo, Orjan 7 Turner, Ian William 7 Wang, Qin 7 Wu, Bo 7 Yu, Boming 6 Falconer, Kenneth J. 6 Jiang, Kan 6 Ju, Tingting 6 Käenmäki, Antti 6 Li, Changpin 6 Li, Wenxia 6 Luo, Jun 6 Qiu, Hua 6 Sandev, Trifce 6 Saxena, Ram Kishore 6 Shahverdian, Ashot Yu. 6 Vâjiac, Adrian I. 6 Xue, Yumei 6 Yang, Xiao-Jun 6 Zaliapin, Ilya 6 Zhou, Songping 5 Akhtar, Md. Nasim 5 Akiyama, Shigeki 5 Balankin, Alexander S. 5 Berg, Kimmo 5 Bory Reyes, Juan 5 Chen, Yangquan 5 Gangal, Anil D. 5 Gdawiec, Krzysztof 5 Gu, Jiangwen 5 Haq, Sirajul 5 Hussain, Manzoor 5 Kapoor, Govind P. 5 Lau, Kasing 5 Li, Ming 5 Li, Yin 5 Lu, Jian 5 Luchko, Yuri 5 Miculescu, Radu 5 Morris, Ian D. 5 Orúe, Amalia B. 5 Ri, Songil 5 Ruan, Huo-Jun 5 Satin, Seema E. 5 Schertzer, Daniel 5 Sebastián, María Victoria 5 Sirvent, Víctor F. 5 Steinhurst, Benjamin 5 Sun, Yu 5 Sun, Yuanyuan 5 Wen, Shengyou 5 Xu, Xiaojie 5 Ye, Qianqian ...and 2,407 more Authors all top 5 Cited in 380 Journals 227 Fractals 91 Chaos, Solitons and Fractals 45 Journal of Mathematical Analysis and Applications 42 Physica A 41 Applied Mathematics and Computation 33 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 30 Journal of Statistical Physics 29 Chaos 28 Nonlinear Dynamics 24 Computers & Mathematics with Applications 23 Fractional Calculus & Applied Analysis 22 Communications in Nonlinear Science and Numerical Simulation 19 Journal of Mathematical Physics 18 Physica D 18 Mathematical Problems in Engineering 16 Abstract and Applied Analysis 15 Journal of Statistical Mechanics: Theory and Experiment 14 Journal of Computational and Applied Mathematics 14 Stochastic Processes and their Applications 13 Physics Letters. 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English Series 4 Journal of Applied Mathematics 4 Analysis in Theory and Applications 4 Fixed Point Theory and Applications 3 Acta Mechanica 3 Applicable Analysis 3 General Relativity and Gravitation 3 Journal d’Analyse Mathématique 3 Journal of Mathematical Biology 3 Mathematical Methods in the Applied Sciences 3 The Mathematical Intelligencer ...and 280 more Journals all top 5 Cited in 61 Fields 594 Measure and integration (28-XX) 256 Probability theory and stochastic processes (60-XX) 250 Dynamical systems and ergodic theory (37-XX) 190 Real functions (26-XX) 190 Numerical analysis (65-XX) 179 Partial differential equations (35-XX) 169 Statistics (62-XX) 120 Ordinary differential equations (34-XX) 108 Statistical mechanics, structure of matter (82-XX) 92 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 87 Biology and other natural sciences (92-XX) 80 Approximations and expansions (41-XX) 72 Computer science (68-XX) 69 Information and communication theory, circuits (94-XX) 64 Harmonic analysis on Euclidean spaces (42-XX) 60 Fluid mechanics (76-XX) 57 Combinatorics (05-XX) 49 Number theory (11-XX) 48 Operator theory (47-XX) 35 Functions of a complex variable (30-XX) 35 Special functions (33-XX) 34 General topology (54-XX) 34 Operations research, mathematical programming (90-XX) 33 Mechanics of deformable solids (74-XX) 32 Quantum theory (81-XX) 31 Geophysics (86-XX) 29 Convex and discrete geometry (52-XX) 24 Functional analysis (46-XX) 24 Systems theory; control (93-XX) 23 Potential theory (31-XX) 16 Integral transforms, operational calculus (44-XX) 16 Classical thermodynamics, heat transfer (80-XX) 15 Integral equations (45-XX) 15 Calculus of variations and optimal control; optimization (49-XX) 15 Mechanics of particles and systems (70-XX) 13 Global analysis, analysis on manifolds (58-XX) 13 Relativity and gravitational theory (83-XX) 12 Differential geometry (53-XX) 11 Difference and functional equations (39-XX) 8 General and overarching topics; collections (00-XX) 8 Linear and multilinear algebra; matrix theory (15-XX) 8 Several complex variables and analytic spaces (32-XX) 8 Optics, electromagnetic theory (78-XX) 7 Group theory and generalizations (20-XX) 7 Geometry (51-XX) 6 Topological groups, Lie groups (22-XX) 6 Abstract harmonic analysis (43-XX) 5 Astronomy and astrophysics (85-XX) 4 Mathematical logic and foundations (03-XX) 4 Algebraic geometry (14-XX) 3 History and biography (01-XX) 3 Algebraic topology (55-XX) 3 Manifolds and cell complexes (57-XX) 3 Mathematics education (97-XX) 2 Field theory and polynomials (12-XX) 2 Commutative algebra (13-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 General algebraic systems (08-XX) 1 Nonassociative rings and algebras (17-XX) 1 Category theory; homological algebra (18-XX) 1 Sequences, series, summability (40-XX) Citations by Year