Kaiser, Robin; Sava-Huss, Ecaterina; Wang, Yuwen Abelian sandpiles on Sierpiński gasket graphs. (English) Zbl 07806441 Electron. J. Comb. 31, No. 1, Research Paper P1.6, 23 p. (2024). MSC: 05C81 20K01 31C20 60J10 PDFBibTeX XMLCite \textit{R. Kaiser} et al., Electron. J. Comb. 31, No. 1, Research Paper P1.6, 23 p. (2024; Zbl 07806441) Full Text: DOI arXiv
Cao, Shiping Convergence of energy forms on Sierpinski gaskets with added rotated triangle. (English) Zbl 07785426 Potential Anal. 59, No. 4, 1793-1825 (2023). MSC: 31E05 28A80 31C25 PDFBibTeX XMLCite \textit{S. Cao}, Potential Anal. 59, No. 4, 1793--1825 (2023; Zbl 07785426) Full Text: DOI arXiv
Lee, Ki-Ahm; Park, Sungha Non-linear operators of divergence form on the Sierpinski gasket. (English) Zbl 1516.31020 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 232, Article ID 113256, 33 p. (2023). MSC: 31C05 31E05 35J62 PDFBibTeX XMLCite \textit{K.-A. Lee} and \textit{S. Park}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 232, Article ID 113256, 33 p. (2023; Zbl 1516.31020) Full Text: DOI
Sridharan, Shrihari; Tikekar, Sharvari Neetin Weak formulation of the Laplacian on the full shift space. (English) Zbl 07732647 Adv. Pure Appl. Math. 13, No. 2, 12-28 (2022). MSC: 28A15 37B10 31E05 PDFBibTeX XMLCite \textit{S. Sridharan} and \textit{S. N. Tikekar}, Adv. Pure Appl. Math. 13, No. 2, 12--28 (2022; Zbl 07732647) Full Text: DOI arXiv
Ruiz, Patricia Alonso; Baudoin, Fabrice Oscillations of BV measures on unbounded nested fractals. (English) Zbl 1528.26019 J. Fractal Geom. 9, No. 3-4, 373-396 (2022). MSC: 26B30 28A80 31E05 PDFBibTeX XMLCite \textit{P. A. Ruiz} and \textit{F. Baudoin}, J. Fractal Geom. 9, No. 3--4, 373--396 (2022; Zbl 1528.26019) Full Text: DOI arXiv
Chandra, Subhash; Abbas, Syed Box dimension of mixed Katugampola fractional integral of two-dimensional continuous functions. (English) Zbl 1503.26005 Fract. Calc. Appl. Anal. 25, No. 3, 1022-1036 (2022). MSC: 26A33 28A80 31A10 PDFBibTeX XMLCite \textit{S. Chandra} and \textit{S. Abbas}, Fract. Calc. Appl. Anal. 25, No. 3, 1022--1036 (2022; Zbl 1503.26005) Full Text: DOI arXiv
Cao, Shiping; Qiu, Hua; Tian, Haoran; Yang, Lijian Spectral decimation for a graph-directed fractal pair. (English) Zbl 1526.28004 Sci. China, Math. 65, No. 12, 2503-2520 (2022). MSC: 28A80 31E05 35P05 PDFBibTeX XMLCite \textit{S. Cao} et al., Sci. China, Math. 65, No. 12, 2503--2520 (2022; Zbl 1526.28004) Full Text: DOI
Hino, Masanori; Yasui, Madoka Singularity of energy measures on a class of inhomogeneous Sierpinski gaskets. (English) Zbl 1500.28007 Chen, Zhen-Qing (ed.) et al., Dirichlet forms and related topics, in honor of Masatoshi Fukushima’s beiju, IWDFRT 2022, Osaka, Japan, August 22–26,2022. Singapore: Springer. Springer Proc. Math. Stat. 394, 175-200 (2022). MSC: 28A80 31C25 60G30 60J60 PDFBibTeX XMLCite \textit{M. Hino} and \textit{M. Yasui}, Springer Proc. Math. Stat. 394, 175--200 (2022; Zbl 1500.28007) Full Text: DOI arXiv
Canner, Claire; Hayes, Christopher; Huang, Robin; Orwin, Michael; Rogers, Luke G. Resistance scaling on \(4N\)-carpets. (English) Zbl 1503.31022 Forum Math. 34, No. 1, 61-75 (2022). MSC: 31E05 28A80 31C25 60J65 PDFBibTeX XMLCite \textit{C. Canner} et al., Forum Math. 34, No. 1, 61--75 (2022; Zbl 1503.31022) Full Text: DOI arXiv
Elías-Zúñiga, Alex; Martínez-Romero, Oscar; Trejo, Daniel Olvera; Palacios-Pineda, Luis Manuel Fractal equation of motion of a non-Gaussian polymer chain: investigating its dynamic fractal response using an ancient Chinese algorithm. (English) Zbl 1487.81157 J. Math. Chem. 60, No. 2, 461-473 (2022). MSC: 81V55 82C31 82C20 01A25 31C45 82D60 PDFBibTeX XMLCite \textit{A. Elías-Zúñiga} et al., J. Math. Chem. 60, No. 2, 461--473 (2022; Zbl 1487.81157) Full Text: DOI
Niralda P. C., Nitha; Mathew, Sunil On properties of similarity boundary of attractors in product dynamical systems. (English) Zbl 1497.28008 Discrete Contin. Dyn. Syst., Ser. S 15, No. 2, 265-281 (2022). MSC: 28A80 31E05 PDFBibTeX XMLCite \textit{N. Niralda P. C.} and \textit{S. Mathew}, Discrete Contin. Dyn. Syst., Ser. S 15, No. 2, 265--281 (2022; Zbl 1497.28008) Full Text: DOI
Wu, Pin-Xia; Ling, Wei-Wei; Li, Xiu-Mei; Xie, Liang-Jin Variational principle of the one-dimensional convection-dispersion equation with fractal derivatives. (English) Zbl 1490.76197 Int. J. Mod. Phys. B 35, No. 19, Article ID 2150195, 10 p. (2021). MSC: 76R05 76B15 31E05 44A10 PDFBibTeX XMLCite \textit{P.-X. Wu} et al., Int. J. Mod. Phys. B 35, No. 19, Article ID 2150195, 10 p. (2021; Zbl 1490.76197) Full Text: DOI
Steinhurst, Benjamin; Teplyaev, Alexander Spectral analysis on Barlow and Evans’ projective limit fractals. (English) Zbl 1469.81023 J. Spectr. Theory 11, No. 1, 91-123 (2021). MSC: 81Q35 81S25 81P16 28A80 31C25 35J05 46M40 60J35 81Q12 PDFBibTeX XMLCite \textit{B. Steinhurst} and \textit{A. Teplyaev}, J. Spectr. Theory 11, No. 1, 91--123 (2021; Zbl 1469.81023) Full Text: DOI
Sava-Huss, Ecaterina From fractals in external DLA to internal DLA on fractals. (English) Zbl 1470.60206 Freiberg, Uta (ed.) et al., Fractal geometry and stochastics VI. Selected papers of the 6th conference, Bad Herrenalb, Germany, September 30 – October 6, 2018. Cham: Birkhäuser. Prog. Probab. 76, 273-298 (2021). MSC: 60J10 28A80 31A15 05C81 PDFBibTeX XMLCite \textit{E. Sava-Huss}, Prog. Probab. 76, 273--298 (2021; Zbl 1470.60206) Full Text: DOI arXiv
Cao, Shiping; Qiu, Hua Higher order Laplacians on p.c.f. fractals with three boundary points and dihedral symmetry. (English) Zbl 1462.28004 Stud. Math. 257, No. 3, 313-345 (2021). Reviewer: Wen-hui Ai (Changsha) MSC: 28A80 31C25 PDFBibTeX XMLCite \textit{S. Cao} and \textit{H. Qiu}, Stud. Math. 257, No. 3, 313--345 (2021; Zbl 1462.28004) Full Text: DOI
Chen, Joe P.; Kudler-Flam, Jonah Laplacian growth and sandpiles on the Sierpiński gasket: limit shape universality and exact solutions. (English) Zbl 1454.05043 Ann. Inst. Henri Poincaré D, Comb. Phys. Interact. 7, No. 4, 585-664 (2020). MSC: 05C20 05C81 05E18 28A80 31A15 37B15 60K05 82C24 PDFBibTeX XMLCite \textit{J. P. Chen} and \textit{J. Kudler-Flam}, Ann. Inst. Henri Poincaré D, Comb. Phys. Interact. 7, No. 4, 585--664 (2020; Zbl 1454.05043) Full Text: DOI arXiv
Sahu, Abhilash; Priyadarshi, Amit On the box-counting dimension of graphs of harmonic functions on the Sierpiński gasket. (English) Zbl 1436.28009 J. Math. Anal. Appl. 487, No. 2, Article ID 124036, 16 p. (2020). Reviewer: Peter Massopust (München) MSC: 28A80 31A05 PDFBibTeX XMLCite \textit{A. Sahu} and \textit{A. Priyadarshi}, J. Math. Anal. Appl. 487, No. 2, Article ID 124036, 16 p. (2020; Zbl 1436.28009) Full Text: DOI arXiv
Öberg, Anders; Tsougkas, Konstantinos The Kusuoka measure and the energy Laplacian on level-\(k\) Sierpiński gaskets. (English) Zbl 1423.28024 Rocky Mt. J. Math. 49, No. 3, 945-961 (2019). Reviewer: Symon Serbenyuk (Kyiv) MSC: 28A80 31A05 PDFBibTeX XMLCite \textit{A. Öberg} and \textit{K. Tsougkas}, Rocky Mt. J. Math. 49, No. 3, 945--961 (2019; Zbl 1423.28024) Full Text: DOI arXiv Euclid
Kelleher, Daniel J.; Panzo, Hugo; Brzoska, Antoni; Teplyaev, Alexander Dual graphs and modified Barlow-Bass resistance estimates for repeated barycentric subdivisions. (English) Zbl 1411.60115 Discrete Contin. Dyn. Syst., Ser. S 12, No. 1, 27-42 (2019). MSC: 60J35 81Q35 28A80 31C25 31E05 35K08 PDFBibTeX XMLCite \textit{D. J. Kelleher} et al., Discrete Contin. Dyn. Syst., Ser. S 12, No. 1, 27--42 (2019; Zbl 1411.60115) Full Text: DOI arXiv
Dinew, Sławomir; Dinew, Żywomir Differential tests for plurisubharmonic functions and Koch curves. (English) Zbl 1421.32045 Potential Anal. 50, No. 3, 381-400 (2019). Reviewer: Marek Jarnicki (Kraków) MSC: 32W20 31A05 32U05 28A78 PDFBibTeX XMLCite \textit{S. Dinew} and \textit{Ż. Dinew}, Potential Anal. 50, No. 3, 381--400 (2019; Zbl 1421.32045) Full Text: DOI arXiv
Freiberg, U.; Hambly, B. M.; Hutchinson, John E. Spectral asymptotics for \(V\)-variable Sierpinski gaskets. (English. French summary) Zbl 1387.35434 Ann. Inst. Henri Poincaré, Probab. Stat. 53, No. 4, 2162-2213 (2017). MSC: 35P20 28A80 31C25 35K08 60J60 PDFBibTeX XMLCite \textit{U. Freiberg} et al., Ann. Inst. Henri Poincaré, Probab. Stat. 53, No. 4, 2162--2213 (2017; Zbl 1387.35434) Full Text: DOI arXiv Euclid
Kelleher, D.; Gupta, N.; Margenot, M.; Marsh, J.; Oakley, W.; Teplyaev, A. Gaps in the spectrum of the Laplacian on \(3N\)-gaskets. (English) Zbl 1327.81211 Commun. Pure Appl. Anal. 14, No. 6, 2509-2533 (2015). MSC: 81Q35 60J35 28A80 31C25 31E05 35K08 PDFBibTeX XMLCite \textit{D. Kelleher} et al., Commun. Pure Appl. Anal. 14, No. 6, 2509--2533 (2015; Zbl 1327.81211) Full Text: DOI arXiv
Tang, Donglei Energy measures on p.c.f. self-similar sets. (English) Zbl 1288.31015 J. Funct. Anal. 266, No. 2, 411-432 (2014). MSC: 31C15 28A80 PDFBibTeX XMLCite \textit{D. Tang}, J. Funct. Anal. 266, No. 2, 411--432 (2014; Zbl 1288.31015) Full Text: DOI
Steinhurst, Benjamin A.; Teplyaev, Alexander Existence of a meromorphic extension of spectral zeta functions on fractals. (English) Zbl 1276.81062 Lett. Math. Phys. 103, No. 12, 1377-1388 (2013). MSC: 81Q35 28A80 30D30 31E05 35P20 47A75 60J25 60J35 81Q10 PDFBibTeX XMLCite \textit{B. A. Steinhurst} and \textit{A. Teplyaev}, Lett. Math. Phys. 103, No. 12, 1377--1388 (2013; Zbl 1276.81062) Full Text: DOI arXiv
Tang, Donglei The Laplacian on p.c.f. self-similar sets via the method of averages. (English) Zbl 1221.31014 Chaos Solitons Fractals 44, No. 7, 538-547 (2011). MSC: 31C99 28A80 PDFBibTeX XMLCite \textit{D. Tang}, Chaos Solitons Fractals 44, No. 7, 538--547 (2011; Zbl 1221.31014) Full Text: DOI
Drenning, Shawn; Strichartz, Robert S. Spectral decimation on Hambly’s homogeneous hierarchical gaskets. (English) Zbl 1211.28005 Ill. J. Math. 53, No. 3, 915-937 (2009). Reviewer: Su Weiyi (Nanjing) MSC: 28A80 31C99 35H99 PDFBibTeX XMLCite \textit{S. Drenning} and \textit{R. S. Strichartz}, Ill. J. Math. 53, No. 3, 915--937 (2009; Zbl 1211.28005) Full Text: Euclid
Fan, Edward; Khandker, Zuhair; Strichartz, Robert S. Harmonic oscillators on infinite Sierpinski gaskets. (English) Zbl 1176.31017 Commun. Math. Phys. 287, No. 1, 351-382 (2009). MSC: 31C99 PDFBibTeX XMLCite \textit{E. Fan} et al., Commun. Math. Phys. 287, No. 1, 351--382 (2009; Zbl 1176.31017) Full Text: DOI
Allan, Adam; Barany, Michael; Strichartz, Robert S. Spectral operators on the Sierpinski gasket. I. (English) Zbl 1188.28006 Complex Var. Elliptic Equ. 54, No. 6, 521-543 (2009). Reviewer: Yuang-Ling Ye (Guangzhou) MSC: 28A80 31C99 PDFBibTeX XMLCite \textit{A. Allan} et al., Complex Var. Elliptic Equ. 54, No. 6, 521--543 (2009; Zbl 1188.28006) Full Text: DOI
Jorgensen, Palle E. T. Essential self-adjointness of the graph-Laplacian. (English) Zbl 1152.81496 J. Math. Phys. 49, No. 7, 073510, 33 p. (2008). MSC: 47B39 05C50 31C20 47B25 94C99 PDFBibTeX XMLCite \textit{P. E. T. Jorgensen}, J. Math. Phys. 49, No. 7, 073510, 33 p. (2008; Zbl 1152.81496) Full Text: DOI arXiv
Metz, V. Metrics of hyperbolic type on bounded fractals. (English) Zbl 1117.31004 Potential Anal. 26, No. 2, 121-137 (2007). Reviewer: Sophia L. Kalpazidou (Thessaloniki) MSC: 31C25 28A80 31C12 60J45 PDFBibTeX XMLCite \textit{V. Metz}, Potential Anal. 26, No. 2, 121--137 (2007; Zbl 1117.31004) Full Text: DOI
Ben-Gal, Nitsan; Shaw-Krauss, Abby; Strichartz, Robert S.; Young, Clint Calculus on the Sierpinski gasket. II: Point singularities, eigenfunctions, and normal derivatives of the heat kernel. (English) Zbl 1098.31004 Trans. Am. Math. Soc. 358, No. 9, 3883-3936 (2006). Reviewer: Athanase Papadopoulos (Strasbourg) MSC: 31C05 28A80 PDFBibTeX XMLCite \textit{N. Ben-Gal} et al., Trans. Am. Math. Soc. 358, No. 9, 3883--3936 (2006; Zbl 1098.31004) Full Text: DOI
Strichartz, Robert S. Solvability for differential equations on fractals. (English) Zbl 1091.35001 J. Anal. Math. 96, 247-267 (2005). MSC: 35A05 28A80 35J60 31C20 PDFBibTeX XMLCite \textit{R. S. Strichartz}, J. Anal. Math. 96, 247--267 (2005; Zbl 1091.35001) Full Text: DOI
Strichartz, Robert S. Analysis on products of fractals. (English) Zbl 1056.31006 Trans. Am. Math. Soc. 357, No. 2, 571-615 (2005). Reviewer: Volker Metz (Bielefeld) MSC: 31C05 60J45 31C25 28A80 PDFBibTeX XMLCite \textit{R. S. Strichartz}, Trans. Am. Math. Soc. 357, No. 2, 571--615 (2005; Zbl 1056.31006) Full Text: DOI
Needleman, Jonathan; Strichartz, Robert S.; Teplyaev, Alexander; Yung, Po-Lam Calculus on the Sierpinski gasket. I: Polynomials, exponentials and power series. (English) Zbl 1082.31004 J. Funct. Anal. 215, No. 2, 290-340 (2004). Reviewer: Athanase Papadopoulos (Strasbourg) MSC: 31C05 28A80 PDFBibTeX XMLCite \textit{J. Needleman} et al., J. Funct. Anal. 215, No. 2, 290--340 (2004; Zbl 1082.31004) Full Text: DOI arXiv
Strichartz, Robert S. Taylor approximations on Sierpinski gasket type fractals. (English) Zbl 0956.31007 J. Funct. Anal. 174, No. 1, 76-127 (2000). Reviewer: Ilya S.Molchanov (Glasgow) MSC: 31C25 28A80 60J60 PDFBibTeX XMLCite \textit{R. S. Strichartz}, J. Funct. Anal. 174, No. 1, 76--127 (2000; Zbl 0956.31007) Full Text: DOI Link
Falconer, K. J.; O’Neil, T. C. Convolutions and the geometry of multifractal measures. (English) Zbl 1040.28011 Math. Nachr. 204, 61-82 (1999). MSC: 28A80 31B15 37C45 37C70 28A78 PDFBibTeX XMLCite \textit{K. J. Falconer} and \textit{T. C. O'Neil}, Math. Nachr. 204, 61--82 (1999; Zbl 1040.28011) Full Text: DOI