Douzi, Zied; Selmi, Bilel; Zyoudi, Haythem The measurability of Hewitt-Stromberg measures and dimensions. (English) Zbl 07741889 Commun. Korean Math. Soc. 38, No. 2, 491-507 (2023). MSC: 28A20 28A78 28A80 28A75 49Q15 PDF BibTeX XML Cite \textit{Z. Douzi} et al., Commun. Korean Math. Soc. 38, No. 2, 491--507 (2023; Zbl 07741889) Full Text: DOI
An, Lixiang; Lai, Chun-Kit Product-form Hadamard triples and its spectral self-similar measures. (English) Zbl 07741103 Adv. Math. 431, Article ID 109257, 41 p. (2023). MSC: 42B10 28A80 28C20 42C30 PDF BibTeX XML Cite \textit{L. An} and \textit{C.-K. Lai}, Adv. Math. 431, Article ID 109257, 41 p. (2023; Zbl 07741103) Full Text: DOI arXiv
Fässler, Katrin; Orponen, Tuomas Vertical projections in the Heisenberg group via cinematic functions and point-plate incidences. (English) Zbl 07741097 Adv. Math. 431, Article ID 109248, 41 p. (2023). MSC: 28A80 28A78 PDF BibTeX XML Cite \textit{K. Fässler} and \textit{T. Orponen}, Adv. Math. 431, Article ID 109248, 41 p. (2023; Zbl 07741097) Full Text: DOI arXiv
Feng, De-Jun; Lo, Chiu-Hong; Ma, Cai-Yun Dimensions of projected sets and measures on typical self-affine sets. (English) Zbl 07741087 Adv. Math. 431, Article ID 109237, 62 p. (2023). MSC: 28A80 37C45 31A15 49Q15 60B05 PDF BibTeX XML Cite \textit{D.-J. Feng} et al., Adv. Math. 431, Article ID 109237, 62 p. (2023; Zbl 07741087) Full Text: DOI arXiv
Oliveira, Elismar R. The Hutchinson-Barnsley theory for generalized iterated function systems by means of Infinite iterated function systems. (English) Zbl 07739833 Balcerzak, Marek (ed.) et al., Inspirations in real analysis. Selected papers based on the presentations at the international conference, Będlewo, Poland, April 3–8, 2022. Warsaw: Polish Academy of Sciences, Institute of Mathematics. Banach Cent. Publ. 125, 99-118 (2023). MSC: 28A80 54H20 26E25 47H04 93E03 PDF BibTeX XML Cite \textit{E. R. Oliveira}, Banach Cent. Publ. 125, 99--118 (2023; Zbl 07739833) Full Text: DOI arXiv
Leśniak, Krzysztof; Snigireva, Nina; Strobin, Filip Strongly-fibred iterated function systems and the Barnsley-vince triangle. (English) Zbl 07739831 Balcerzak, Marek (ed.) et al., Inspirations in real analysis. Selected papers based on the presentations at the international conference, Będlewo, Poland, April 3–8, 2022. Warsaw: Polish Academy of Sciences, Institute of Mathematics. Banach Cent. Publ. 125, 81-90 (2023). MSC: 28A80 47H09 37A30 PDF BibTeX XML Cite \textit{K. Leśniak} et al., Banach Cent. Publ. 125, 81--90 (2023; Zbl 07739831) Full Text: DOI arXiv
Leśniak, Krzysztof; Nowak, Magdalena Split square and split carpet as examples of non-metrizable IFS attractors. (English) Zbl 07739830 Balcerzak, Marek (ed.) et al., Inspirations in real analysis. Selected papers based on the presentations at the international conference, Będlewo, Poland, April 3–8, 2022. Warsaw: Polish Academy of Sciences, Institute of Mathematics. Banach Cent. Publ. 125, 71-79 (2023). MSC: 28A80 47H09 54H20 PDF BibTeX XML Cite \textit{K. Leśniak} and \textit{M. Nowak}, Banach Cent. Publ. 125, 71--79 (2023; Zbl 07739830) Full Text: DOI arXiv
Guzik, Grzegorz; Kleszcz, Grzegorz Asymptotic properties for a class of difference inclusions associated with iterated function systems. (English) Zbl 07739828 Balcerzak, Marek (ed.) et al., Inspirations in real analysis. Selected papers based on the presentations at the international conference, Będlewo, Poland, April 3–8, 2022. Warsaw: Polish Academy of Sciences, Institute of Mathematics. Banach Cent. Publ. 125, 35-44 (2023). MSC: 28A80 47H04 54H25 26E25 PDF BibTeX XML Cite \textit{G. Guzik} and \textit{G. Kleszcz}, Banach Cent. Publ. 125, 35--44 (2023; Zbl 07739828) Full Text: DOI
Guzik, Grzegorz Semifractals from multifunctions on product spaces and generalized iterated function systems. (English) Zbl 07739827 Balcerzak, Marek (ed.) et al., Inspirations in real analysis. Selected papers based on the presentations at the international conference, Będlewo, Poland, April 3–8, 2022. Warsaw: Polish Academy of Sciences, Institute of Mathematics. Banach Cent. Publ. 125, 23-33 (2023). MSC: 28A80 54H20 26E25 47H04 93E03 PDF BibTeX XML Cite \textit{G. Guzik}, Banach Cent. Publ. 125, 23--33 (2023; Zbl 07739827) Full Text: DOI
Zhang, Shuqin; Gao, Bing; Xiao, Yingqing The lower Fourier dimensions of in-homogeneous self-similar measures. (English) Zbl 07739417 J. Fourier Anal. Appl. 29, No. 5, Paper No. 55, 29 p. (2023). MSC: 28A80 37C45 PDF BibTeX XML Cite \textit{S. Zhang} et al., J. Fourier Anal. Appl. 29, No. 5, Paper No. 55, 29 p. (2023; Zbl 07739417) Full Text: DOI
Steinerberger, Stefan Sums of distances on graphs and embeddings into Euclidean space. (English) Zbl 07738285 Mathematika 69, No. 3, 600-621 (2023). MSC: 05C12 05C69 31E05 51K99 PDF BibTeX XML Cite \textit{S. Steinerberger}, Mathematika 69, No. 3, 600--621 (2023; Zbl 07738285) Full Text: DOI arXiv
Liu, Jing-Cheng; Tang, Min-Wei; Wu, Sha The spectral eigenmatrix problems of planar self-affine measures with four digits. (English) Zbl 07738153 Proc. Edinb. Math. Soc., II. Ser. 66, No. 3, 897-918 (2023). MSC: 28A25 28A80 42C05 46C05 PDF BibTeX XML Cite \textit{J.-C. Liu} et al., Proc. Edinb. Math. Soc., II. Ser. 66, No. 3, 897--918 (2023; Zbl 07738153) Full Text: DOI
Bessi, Ugo Counting periodic orbits on fractals weighted by their Lyapounov exponents. (English) Zbl 07738145 Proc. Edinb. Math. Soc., II. Ser. 66, No. 3, 710-757 (2023). MSC: 28A80 37C30 37H15 PDF BibTeX XML Cite \textit{U. Bessi}, Proc. Edinb. Math. Soc., II. Ser. 66, No. 3, 710--757 (2023; Zbl 07738145) Full Text: DOI arXiv
Gallagher, John; Lai, Chun-Kit; Weber, Eric On a topological Erdős similarity problem. (English) Zbl 07738040 Bull. Lond. Math. Soc. 55, No. 3, 1104-1119 (2023). MSC: 28A80 PDF BibTeX XML Cite \textit{J. Gallagher} et al., Bull. Lond. Math. Soc. 55, No. 3, 1104--1119 (2023; Zbl 07738040) Full Text: DOI arXiv
Harris, Terence L. J. A Euclidean Fourier-analytic approach to vertical projections in the Heisenberg group. (English) Zbl 07738031 Bull. Lond. Math. Soc. 55, No. 2, 961-977 (2023). MSC: 28A78 28A80 PDF BibTeX XML Cite \textit{T. L. J. Harris}, Bull. Lond. Math. Soc. 55, No. 2, 961--977 (2023; Zbl 07738031) Full Text: DOI arXiv
Fraser, Jonathan M.; Koivusalo, Henna; Ramírez, Felipe A. Diophantine approximation in metric space. (English) Zbl 07738017 Bull. Lond. Math. Soc. 55, No. 2, 756-776 (2023). MSC: 11J83 11K55 28A78 28A80 PDF BibTeX XML Cite \textit{J. M. Fraser} et al., Bull. Lond. Math. Soc. 55, No. 2, 756--776 (2023; Zbl 07738017) Full Text: DOI arXiv
Verma, Manuj; Priyadarshi, Amit Dimensions of new fractal functions and associated measures. (English) Zbl 07736710 Numer. Algorithms 94, No. 2, 817-846 (2023). MSC: 65-XX 28A80 33C47 41A30 PDF BibTeX XML Cite \textit{M. Verma} and \textit{A. Priyadarshi}, Numer. Algorithms 94, No. 2, 817--846 (2023; Zbl 07736710) Full Text: DOI
Kalinin, Nikita Sandpile solitons in higher dimensions. (English) Zbl 07736691 Arnold Math. J. 9, No. 3, 435-454 (2023). MSC: 37B15 31A05 14T05 28A80 35B36 PDF BibTeX XML Cite \textit{N. Kalinin}, Arnold Math. J. 9, No. 3, 435--454 (2023; Zbl 07736691) Full Text: DOI arXiv
Liu, Chuntai A note on exceptional sets in Erdős-Rényi limit theorem. (English) Zbl 07736680 Ann. Funct. Anal. 14, No. 4, Paper No. 71, 20 p. (2023). MSC: 28A80 11K55 54E52 PDF BibTeX XML Cite \textit{C. Liu}, Ann. Funct. Anal. 14, No. 4, Paper No. 71, 20 p. (2023; Zbl 07736680) Full Text: DOI
De Maesschalck, Peter; Huzak, Renato; Janssens, Ansfried; Radunović, Goran Minkowski dimension and slow-fast polynomial Liénard equations near infinity. (English) Zbl 07736307 Qual. Theory Dyn. Syst. 22, No. 4, Paper No. 154, 39 p. (2023). MSC: 34E15 34E17 34C40 28A80 28A75 PDF BibTeX XML Cite \textit{P. De Maesschalck} et al., Qual. Theory Dyn. Syst. 22, No. 4, Paper No. 154, 39 p. (2023; Zbl 07736307) Full Text: DOI arXiv
Xiao, Jian-Ci A note on the interior and dimensions of typical sumsets. (English) Zbl 07735827 Proc. Am. Math. Soc. 151, No. 11, 4799-4806 (2023). MSC: 28A75 28A80 PDF BibTeX XML Cite \textit{J.-C. Xiao}, Proc. Am. Math. Soc. 151, No. 11, 4799--4806 (2023; Zbl 07735827) Full Text: DOI
Prokaj, R. Dániel; Raith, Peter; Simon, Károly Fractal dimensions of continuous piecewise linear iterated function systems. (English) Zbl 07735819 Proc. Am. Math. Soc. 151, No. 11, 4703-4719 (2023). MSC: 28A80 37E05 PDF BibTeX XML Cite \textit{R. D. Prokaj} et al., Proc. Am. Math. Soc. 151, No. 11, 4703--4719 (2023; Zbl 07735819) Full Text: DOI arXiv
Hamada, Hiroyasu \(C^*\)-algebras generated by multiplication operators and composition operators by functions with self-similar branches. (English) Zbl 07735444 Int. J. Math. 34, No. 9, Article ID 2350050, 13 p. (2023). MSC: 46L55 47B33 28A80 46L08 PDF BibTeX XML Cite \textit{H. Hamada}, Int. J. Math. 34, No. 9, Article ID 2350050, 13 p. (2023; Zbl 07735444) Full Text: DOI arXiv
Cristina, Jan; Merlin, Louis On the entropy of Hilbert geometries of low regularities. (English) Zbl 07735142 Geom. Dedicata 217, No. 6, Paper No. 97, 30 p. (2023). Reviewer: Victor V. Pambuccian (Glendale) MSC: 51F99 53C60 28A75 28A80 PDF BibTeX XML Cite \textit{J. Cristina} and \textit{L. Merlin}, Geom. Dedicata 217, No. 6, Paper No. 97, 30 p. (2023; Zbl 07735142) Full Text: DOI arXiv
Troscheit, Sascha On the Minkowski content of self-similar random homogeneous iterated function systems. (English) Zbl 07735112 Ann. Fenn. Math. 48, No. 1, 345-359 (2023). MSC: 28A75 28A80 60G57 PDF BibTeX XML Cite \textit{S. Troscheit}, Ann. Fenn. Math. 48, No. 1, 345--359 (2023; Zbl 07735112) Full Text: DOI arXiv
Fraser, Jonathan M.; Stuart, Liam Refined horoball counting and conformal measure for Kleinian group actions. (English) Zbl 07735111 Ann. Fenn. Math. 48, No. 1, 325-344 (2023). MSC: 37F32 30F40 28A80 11J83 PDF BibTeX XML Cite \textit{J. M. Fraser} and \textit{L. Stuart}, Ann. Fenn. Math. 48, No. 1, 325--344 (2023; Zbl 07735111) Full Text: DOI arXiv
Liu, Jiayin Dimension estimates on circular \((s,t)\)-Furstenberg sets. (English) Zbl 07735110 Ann. Fenn. Math. 48, No. 1, 299-324 (2023). MSC: 28A75 28A78 28A80 PDF BibTeX XML Cite \textit{J. Liu}, Ann. Fenn. Math. 48, No. 1, 299--324 (2023; Zbl 07735110) Full Text: DOI arXiv
Ohno, Takao; Shimomura, Tetsu Continuity of generalized Riesz potentials for double phase functionals with variable exponents over metric measure spaces. (English) Zbl 07734113 Taiwanese J. Math. 27, No. 4, 813-832 (2023). MSC: 31B15 31E05 46E35 PDF BibTeX XML Cite \textit{T. Ohno} and \textit{T. Shimomura}, Taiwanese J. Math. 27, No. 4, 813--832 (2023; Zbl 07734113) Full Text: DOI Link
Dhilshana; Mathew, Sunil Analysis of separation properties of attractors of the product of fuzzy iterated function systems. (English) Zbl 07733070 Commun. Nonlinear Sci. Numer. Simul. 125, Article ID 107401, 13 p. (2023). MSC: 28A80 11B05 47H10 PDF BibTeX XML Cite \textit{Dhilshana} and \textit{S. Mathew}, Commun. Nonlinear Sci. Numer. Simul. 125, Article ID 107401, 13 p. (2023; Zbl 07733070) Full Text: DOI
Fraser, Jonathan M.; Kolossváry, István The Assouad dimension of self-affine measures on sponges. (English) Zbl 07732815 Ergodic Theory Dyn. Syst. 43, No. 9, 2974-2996 (2023). MSC: 28A80 37D20 37C45 PDF BibTeX XML Cite \textit{J. M. Fraser} and \textit{I. Kolossváry}, Ergodic Theory Dyn. Syst. 43, No. 9, 2974--2996 (2023; Zbl 07732815) Full Text: DOI arXiv
Coons, Michael; Evans, James; Groth, Zachary; Mañibo, Neil Zaremba, Salem and the fractal nature of ghost distributions. (English) Zbl 07731648 Bull. Aust. Math. Soc. 107, No. 3, 374-389 (2023). MSC: 11B85 28A80 PDF BibTeX XML Cite \textit{M. Coons} et al., Bull. Aust. Math. Soc. 107, No. 3, 374--389 (2023; Zbl 07731648) Full Text: DOI
Kajino, Naotaka An elementary proof that walk dimension is greater than two for Brownian motion on Sierpiński carpets. (English) Zbl 07731269 Bull. Lond. Math. Soc. 55, No. 1, 508-521 (2023). MSC: 28A80 31C25 31E05 35K08 60G30 60J60 PDF BibTeX XML Cite \textit{N. Kajino}, Bull. Lond. Math. Soc. 55, No. 1, 508--521 (2023; Zbl 07731269) Full Text: DOI arXiv
Fillman, Jake; Tidwell, Sara H. On sums of semibounded Cantor sets. (English) Zbl 07731143 Rocky Mt. J. Math. 53, No. 3, 737-754 (2023). MSC: 28A80 35J10 52C23 PDF BibTeX XML Cite \textit{J. Fillman} and \textit{S. H. Tidwell}, Rocky Mt. J. Math. 53, No. 3, 737--754 (2023; Zbl 07731143) Full Text: DOI arXiv Link
Kolossváry, István The \(L^q\) spectrum of self-affine measures on sponges. (English) Zbl 07731132 J. Lond. Math. Soc., II. Ser. 108, No. 2, 666-701 (2023). MSC: 28A80 37D35 37C45 37B10 PDF BibTeX XML Cite \textit{I. Kolossváry}, J. Lond. Math. Soc., II. Ser. 108, No. 2, 666--701 (2023; Zbl 07731132) Full Text: DOI arXiv
Fraser, Jonathan M. A nonlinear projection theorem for Assouad dimension and applications. (English) Zbl 07731018 J. Lond. Math. Soc., II. Ser. 107, No. 2, 777-797 (2023). MSC: 28A80 28A78 11B30 PDF BibTeX XML Cite \textit{J. M. Fraser}, J. Lond. Math. Soc., II. Ser. 107, No. 2, 777--797 (2023; Zbl 07731018) Full Text: DOI arXiv
Karak, Nijjwal; Mondal, Debarati Besov and Triebel-Lizorkin capacity in metric spaces. (English) Zbl 07729721 Math. Slovaca 73, No. 4, 937-948 (2023). MSC: 31E05 31B15 PDF BibTeX XML Cite \textit{N. Karak} and \textit{D. Mondal}, Math. Slovaca 73, No. 4, 937--948 (2023; Zbl 07729721) Full Text: DOI
Song, Qing-Yao Hausdorff dimension of sets defined by almost convergent binary expansion sequences. (English) Zbl 07727437 Glasg. Math. J. 65, No. 2, 450-456 (2023). MSC: 28A80 11K31 PDF BibTeX XML Cite \textit{Q.-Y. Song}, Glasg. Math. J. 65, No. 2, 450--456 (2023; Zbl 07727437) Full Text: DOI
Boily, Vanessa; Rochon, Dominic On the algebraic foundation of the Mandelbulb. (English) Zbl 07726804 Fractals 31, No. 5, Article ID 2350062, 15 p. (2023). MSC: 37Fxx 28Axx 30Dxx PDF BibTeX XML Cite \textit{V. Boily} and \textit{D. Rochon}, Fractals 31, No. 5, Article ID 2350062, 15 p. (2023; Zbl 07726804) Full Text: DOI arXiv
Li, Bo; Zhang, Tongxin; Zhang, Chao Investigation of financial bubble mathematical model under fractal-fractional Caputo derivative. (English) Zbl 07726793 Fractals 31, No. 5, Article ID 2350050, 13 p. (2023). MSC: 91G15 34A08 28A80 PDF BibTeX XML Cite \textit{B. Li} et al., Fractals 31, No. 5, Article ID 2350050, 13 p. (2023; Zbl 07726793) Full Text: DOI
Zhu, Xingchao; Zhu, Zhiyong Spectral analysis for weighted level-4 Sierpiński graphs and its applications. (English) Zbl 07726792 Fractals 31, No. 5, Article ID 2350049, 20 p. (2023). MSC: 05C22 05C50 05C05 28A80 05C82 PDF BibTeX XML Cite \textit{X. Zhu} and \textit{Z. Zhu}, Fractals 31, No. 5, Article ID 2350049, 20 p. (2023; Zbl 07726792) Full Text: DOI
Wang, Xiaoqiong; Li, Rao Approximation orders of a real number in a family of beta-dynamical systems. (English) Zbl 07726791 Fractals 31, No. 5, Article ID 2350048, 10 p. (2023). Reviewer: Symon Serbenyuk (Kyjiw) MSC: 11K55 28A80 PDF BibTeX XML Cite \textit{X. Wang} and \textit{R. Li}, Fractals 31, No. 5, Article ID 2350048, 10 p. (2023; Zbl 07726791) Full Text: DOI
Schonfeld, Jonathan F. Scaling exponents for electrical resistance on higher-dimensional generalizations of fractal carpets and sponges. (English) Zbl 07726788 Fractals 31, No. 5, Article ID 2350045, 5 p. (2023). MSC: 28Axx 78-XX 00Axx PDF BibTeX XML Cite \textit{J. F. Schonfeld}, Fractals 31, No. 5, Article ID 2350045, 5 p. (2023; Zbl 07726788) Full Text: DOI
Khan, Hasib; Alzabut, Jehad; Shah, Anwar; He, Zai-Yin; Etemad, Sina; Rezapour, Shahram; Zada, Akbar On fractal-fractional waterborne disease model: a study on theoretical and numerical aspects of solutions via simulations. (English) Zbl 07726757 Fractals 31, No. 4, Article ID 2340055, 16 p. (2023). MSC: 92D30 34A08 28A80 PDF BibTeX XML Cite \textit{H. Khan} et al., Fractals 31, No. 4, Article ID 2340055, 16 p. (2023; Zbl 07726757) Full Text: DOI
Yao, Shao-Wen; Farman, Muhammad; Akgül, Ali; Nisar, Kottakkaran Sooppy; Amin, Maryam; Saleem, Muhammad Umer; Inc, Mustafa Simulations and analysis of COVID-19 as a fractional model with different kernels. (English) Zbl 07726754 Fractals 31, No. 4, Article ID 2340051, 21 p. (2023). MSC: 92D30 34A08 28A80 PDF BibTeX XML Cite \textit{S.-W. Yao} et al., Fractals 31, No. 4, Article ID 2340051, 21 p. (2023; Zbl 07726754) Full Text: DOI
Matsuzawa, Yasumichi; Suzuki, Akito; Tanaka, Yohei; Teranishi, Noriaki; Wada, Kazuyuki The Witten index for one-dimensional split-step quantum walks under the non-Fredholm condition. (English) Zbl 07726392 Rev. Math. Phys. 35, No. 6, Article ID 2350010, 41 p. (2023). MSC: 47A53 81Q35 81Q60 47B39 PDF BibTeX XML Cite \textit{Y. Matsuzawa} et al., Rev. Math. Phys. 35, No. 6, Article ID 2350010, 41 p. (2023; Zbl 07726392) Full Text: DOI arXiv
Ammar, Hamdi; Sellami, Tarek Kernel words and factorization of the \(k\)-bonacci sequence. (English) Zbl 07726363 Indian J. Pure Appl. Math. 54, No. 3, 816-823 (2023). MSC: 28A80 11B85 37B10 68Q45 PDF BibTeX XML Cite \textit{H. Ammar} and \textit{T. Sellami}, Indian J. Pure Appl. Math. 54, No. 3, 816--823 (2023; Zbl 07726363) Full Text: DOI
Feng, De-Jun; Ruan, Huo-Jun; Xiong, Ying On separation properties for iterated function systems of similitudes. (English) Zbl 07725824 Methods Appl. Anal. 30, No. 1, 17-26 (2023). MSC: 28A78 28A80 PDF BibTeX XML Cite \textit{D.-J. Feng} et al., Methods Appl. Anal. 30, No. 1, 17--26 (2023; Zbl 07725824) Full Text: DOI arXiv
McDonald, Alex; Taylor, Krystal Finite point configurations in products of thick Cantor sets and a robust nonlinear Newhouse Gap Lemma. (English) Zbl 07725804 Math. Proc. Camb. Philos. Soc. 175, No. 2, 285-301 (2023). MSC: 28A75 28A80 42Bxx PDF BibTeX XML Cite \textit{A. McDonald} and \textit{K. Taylor}, Math. Proc. Camb. Philos. Soc. 175, No. 2, 285--301 (2023; Zbl 07725804) Full Text: DOI arXiv
Selmi, B.; Svetova, N. Yu. On the mutual multifractal analysis for some non-regular Moran measures. (English) Zbl 07724925 Probl. Anal. Issues Anal. 12(30), No. 1, 46-71 (2023). MSC: 28A20 28A75 28A78 28A80 49Q15 PDF BibTeX XML Cite \textit{B. Selmi} and \textit{N. Yu. Svetova}, Probl. Anal. Issues Anal. 12(30), No. 1, 46--71 (2023; Zbl 07724925) Full Text: DOI MNR
Badger, Matthew; McCurdy, Sean Subsets of rectifiable curves in Banach spaces. I: Sharp exponents in traveling salesman theorems. (English) Zbl 07724273 Ill. J. Math. 67, No. 2, 203-274 (2023). MSC: 28A75 26A16 28A80 46B20 65D10 PDF BibTeX XML Cite \textit{M. Badger} and \textit{S. McCurdy}, Ill. J. Math. 67, No. 2, 203--274 (2023; Zbl 07724273) Full Text: DOI arXiv Link
Tang, W.; Wang, Z. Y. Weyl’s asymptotic formula for fractal Laplacians defined by a class of self-similar measures with overlaps. (English) Zbl 07722733 Anal. Math. 49, No. 2, 661-679 (2023). MSC: 28A80 35P20 35J05 43A05 47A75 PDF BibTeX XML Cite \textit{W. Tang} and \textit{Z. Y. Wang}, Anal. Math. 49, No. 2, 661--679 (2023; Zbl 07722733) Full Text: DOI
Li, S.-J.; Ai, W.-H. Spectral eigenmatrix of the planar spectral measures with four elements. (English) Zbl 07722727 Anal. Math. 49, No. 2, 545-562 (2023). MSC: 28A80 42C05 PDF BibTeX XML Cite \textit{S. J. Li} and \textit{W. H. Ai}, Anal. Math. 49, No. 2, 545--562 (2023; Zbl 07722727) Full Text: DOI
Feng, Y.; Zhou, Q. L. Dimension theory of Lüroth digits. (English) Zbl 07722700 Acta Math. Hung. 170, No. 1, 150-167 (2023). MSC: 11K55 28A80 PDF BibTeX XML Cite \textit{Y. Feng} and \textit{Q. L. Zhou}, Acta Math. Hung. 170, No. 1, 150--167 (2023; Zbl 07722700) Full Text: DOI
He, Y.; Xiao, Q. On sums of partial quotients in Hurwitz continued fraction expansions. (English) Zbl 07722695 Acta Math. Hung. 170, No. 1, 17-32 (2023). MSC: 28A80 PDF BibTeX XML Cite \textit{Y. He} and \textit{Q. Xiao}, Acta Math. Hung. 170, No. 1, 17--32 (2023; Zbl 07722695) Full Text: DOI
Chen, Ming-Liang; Liu, Jing-Cheng On spectra and spectral eigenmatrices of self-affine measures on \(\mathbb{R}^n\). (English) Zbl 07721835 Bull. Malays. Math. Sci. Soc. (2) 46, No. 5, Paper No. 162, 18 p. (2023). MSC: 28A25 28A80 42C05 PDF BibTeX XML Cite \textit{M.-L. Chen} and \textit{J.-C. Liu}, Bull. Malays. Math. Sci. Soc. (2) 46, No. 5, Paper No. 162, 18 p. (2023; Zbl 07721835) Full Text: DOI
Kovács, Mihály; Sikolya, Eszter On the parabolic Cauchy problem for quantum graphs with vertex noise. (English) Zbl 07721273 Electron. J. Probab. 28, Paper No. 74, 20 p. (2023). MSC: 81Q35 60H15 35R60 35R02 47D06 PDF BibTeX XML Cite \textit{M. Kovács} and \textit{E. Sikolya}, Electron. J. Probab. 28, Paper No. 74, 20 p. (2023; Zbl 07721273) Full Text: DOI arXiv
Ren, Haojie Box dimension of the graphs of the generalized Weierstrass-type functions. (English) Zbl 07721216 Discrete Contin. Dyn. Syst. 43, No. 10, 3830-3838 (2023). MSC: 28A80 37D45 PDF BibTeX XML Cite \textit{H. Ren}, Discrete Contin. Dyn. Syst. 43, No. 10, 3830--3838 (2023; Zbl 07721216) Full Text: DOI arXiv
Deng, Qi-Rong; Yao, Yong-Hua A note on Hata’s tree-like sets. (English) Zbl 07720079 Monatsh. Math. 202, No. 1, 103-118 (2023). MSC: 28A80 51M99 PDF BibTeX XML Cite \textit{Q.-R. Deng} and \textit{Y.-H. Yao}, Monatsh. Math. 202, No. 1, 103--118 (2023; Zbl 07720079) Full Text: DOI
Zhang, Mengjie; Wang, Weiliang On Lüroth expansions in which the largest digit grows with slowly increasing speed. (English) Zbl 07716581 Bull. Aust. Math. Soc. 107, No. 2, 204-214 (2023). Reviewer: Takao Komatsu (Hangzhou) MSC: 11K55 28A80 PDF BibTeX XML Cite \textit{M. Zhang} and \textit{W. Wang}, Bull. Aust. Math. Soc. 107, No. 2, 204--214 (2023; Zbl 07716581) Full Text: DOI
Cheng, Yu; Wan, Zhenping; Bu, Yingbin; Zhou, Peiyang A three-dimensional fractal contact model of rough surfaces considering strain hardening. (English) Zbl 07716224 Acta Mech. 234, No. 9, 4259-4268 (2023). MSC: 74M15 28A80 PDF BibTeX XML Cite \textit{Y. Cheng} et al., Acta Mech. 234, No. 9, 4259--4268 (2023; Zbl 07716224) Full Text: DOI
Yuan, Na; Li, Bing Hausdorff dimensions of recurrent and shrinking target sets under Lipschitz functions for expanding Markov maps. (English) Zbl 07716046 Dyn. Syst. 38, No. 3, 365-394 (2023). MSC: 28A80 11K55 37Fxx PDF BibTeX XML Cite \textit{N. Yuan} and \textit{B. Li}, Dyn. Syst. 38, No. 3, 365--394 (2023; Zbl 07716046) Full Text: DOI
Kline, Josh Non-locality, non-linearity, and existence of solutions to the Dirichlet problem for least gradient functions in metric measure spaces. (English) Zbl 07714699 Rev. Mat. Iberoam. 39, No. 4, 1567-1598 (2023). MSC: 31E05 30L99 PDF BibTeX XML Cite \textit{J. Kline}, Rev. Mat. Iberoam. 39, No. 4, 1567--1598 (2023; Zbl 07714699) Full Text: DOI arXiv
Feng, De-Jun; Simon, Károly Dimension estimates for \(C^1\) iterated function systems and repellers. I. (English) Zbl 07714662 Ergodic Theory Dyn. Syst. 43, No. 8, 2673-2706 (2023). MSC: 37C45 37C70 28A80 PDF BibTeX XML Cite \textit{D.-J. Feng} and \textit{K. Simon}, Ergodic Theory Dyn. Syst. 43, No. 8, 2673--2706 (2023; Zbl 07714662) Full Text: DOI arXiv
Araújo, Hugo; Moreira, Carlos Gustavo Stable intersections of conformal Cantor sets. (English) Zbl 07714643 Ergodic Theory Dyn. Syst. 43, No. 1, 1-49 (2023). MSC: 28A80 37G25 37F99 PDF BibTeX XML Cite \textit{H. Araújo} and \textit{C. G. Moreira}, Ergodic Theory Dyn. Syst. 43, No. 1, 1--49 (2023; Zbl 07714643) Full Text: DOI arXiv
Orponen, Tuomas On the dimension of visible parts. (English) Zbl 07714606 J. Eur. Math. Soc. (JEMS) 25, No. 5, 1969-1983 (2023). MSC: 28A80 28A78 PDF BibTeX XML Cite \textit{T. Orponen}, J. Eur. Math. Soc. (JEMS) 25, No. 5, 1969--1983 (2023; Zbl 07714606) Full Text: DOI arXiv
Boutillier, Cédric (ed.); de Tilière, Béatrice (ed.); Raschel, Kilian (ed.) Topics in statistical mechanics. (French) Zbl 1516.82003 Panoramas et Synthèses 59. Paris: Société Mathématique de France (SMF) (ISBN 978-2-85629-970-8/pbk). xxii, 229 p. (2023). MSC: 82-06 15-06 60-06 15B52 28A80 60K35 81T40 82B20 82B27 82B40 82B44 82C05 82D60 PDF BibTeX XML Cite \textit{C. Boutillier} (ed.) et al., Topics in statistical mechanics. Paris: Société Mathématique de France (SMF) (2023; Zbl 1516.82003)
Chong, Carsten; Kevei, Péter A landscape of peaks: the intermittency islands of the stochastic heat equation with Lévy noise. (English) Zbl 07713552 Ann. Probab. 51, No. 4, 1449-1501 (2023). MSC: 60H15 35K05 35R60 28A78 28A80 60F15 60G51 60G70 PDF BibTeX XML Cite \textit{C. Chong} and \textit{P. Kevei}, Ann. Probab. 51, No. 4, 1449--1501 (2023; Zbl 07713552) Full Text: DOI arXiv
Legaria-Peña, Juan Uriel; Sánchez-Morales, Félix; Cortés-Poza, Yuriria Evaluation of entropy and fractal dimension as biomarkers for tumor growth and treatment response using cellular automata. (English) Zbl 07712569 J. Theor. Biol. 564, Article ID 111462, 10 p. (2023). MSC: 92C32 92C50 28A80 68Q80 PDF BibTeX XML Cite \textit{J. U. Legaria-Peña} et al., J. Theor. Biol. 564, Article ID 111462, 10 p. (2023; Zbl 07712569) Full Text: DOI arXiv
Deng, Qi-Rong; Li, Ming-Tian Spectrality of Moran-type Bernoulli convolutions. (English) Zbl 07712325 Bull. Malays. Math. Sci. Soc. (2) 46, No. 4, Paper No. 136, 19 p. (2023). MSC: 42A85 42C05 42A65 28A78 28A80 PDF BibTeX XML Cite \textit{Q.-R. Deng} and \textit{M.-T. Li}, Bull. Malays. Math. Sci. Soc. (2) 46, No. 4, Paper No. 136, 19 p. (2023; Zbl 07712325) Full Text: DOI
Golmankhaneh, Alireza Khalili Variational problems with generalized fractal derivative operator. (English) Zbl 07711638 Appl. Anal. Optim. 7, No. 1, 27-32 (2023). MSC: 47J30 28A80 37K58 34H05 PDF BibTeX XML Cite \textit{A. K. Golmankhaneh}, Appl. Anal. Optim. 7, No. 1, 27--32 (2023; Zbl 07711638) Full Text: Link
Baudoin, Fabrice; Chen, Li Dirichlet fractional Gaussian fields on the Sierpinski gasket and their discrete graph approximations. (English) Zbl 07711496 Stochastic Processes Appl. 162, 593-616 (2023). MSC: 60G15 60G60 28A80 PDF BibTeX XML Cite \textit{F. Baudoin} and \textit{L. Chen}, Stochastic Processes Appl. 162, 593--616 (2023; Zbl 07711496) Full Text: DOI arXiv
Shou, Laura Pointwise Weyl law for graphs from quantized interval maps. (English) Zbl 07710870 Ann. Henri Poincaré 24, No. 8, 2833-2875 (2023). Reviewer: Steve Pederson (Atlanta) MSC: 37E05 37E25 37A30 81Q35 81S08 81Q50 PDF BibTeX XML Cite \textit{L. Shou}, Ann. Henri Poincaré 24, No. 8, 2833--2875 (2023; Zbl 07710870) Full Text: DOI arXiv
Golovaty, Yuriy Quantum graphs: Coulomb-type potentials and exactly solvable models. (English) Zbl 07710862 Ann. Henri Poincaré 24, No. 8, 2557-2585 (2023). MSC: 81Q35 34L40 PDF BibTeX XML Cite \textit{Y. Golovaty}, Ann. Henri Poincaré 24, No. 8, 2557--2585 (2023; Zbl 07710862) Full Text: DOI arXiv
Prohaska, Roland; Sert, Cagri; Shi, Ronggang Expanding measures: random walks and rigidity on homogeneous spaces. (English) Zbl 07710190 Forum Math. Sigma 11, Paper No. e59, 61 p. (2023). MSC: 60B15 22F30 60G50 37A44 28A80 PDF BibTeX XML Cite \textit{R. Prohaska} et al., Forum Math. Sigma 11, Paper No. e59, 61 p. (2023; Zbl 07710190) Full Text: DOI arXiv
Liu, Jing Cheng; Wang, Zhi Yong; Liu, Yao; Shi, Ya The spectrality of a class of fractal measures on \(\mathbb{R}^n \). (English) Zbl 07710160 Acta Math. Sin., Engl. Ser. 39, No. 5, 952-966 (2023). MSC: 28A80 42C05 46C05 PDF BibTeX XML Cite \textit{J. C. Liu} et al., Acta Math. Sin., Engl. Ser. 39, No. 5, 952--966 (2023; Zbl 07710160) Full Text: DOI
Ngai, Sze-Man; Xu, Yangyang Separation conditions for iterated function systems with overlaps on Riemannian manifolds. (English) Zbl 07709785 J. Geom. Anal. 33, No. 8, Paper No. 262, 38 p. (2023). MSC: 28A78 28A80 58C35 49Q15 PDF BibTeX XML Cite \textit{S.-M. Ngai} and \textit{Y. Xu}, J. Geom. Anal. 33, No. 8, Paper No. 262, 38 p. (2023; Zbl 07709785) Full Text: DOI arXiv
Ikeda, Kozo; Izumi, Masaki Quasicentral modulus and self-similar sets: a supplementary result to Voiculescu’s work. (English) Zbl 07709582 Integral Equations Oper. Theory 95, No. 2, Paper No. 13, 14 p. (2023). MSC: 47A55 28A78 28A80 47B10 PDF BibTeX XML Cite \textit{K. Ikeda} and \textit{M. Izumi}, Integral Equations Oper. Theory 95, No. 2, Paper No. 13, 14 p. (2023; Zbl 07709582) Full Text: DOI arXiv
Kesseböhmer, Marc; Niemann, Aljoscha; Zhu, Sanguo Quantization dimensions of compactly supported probability measures via Rényi dimensions. (English) Zbl 07709416 Trans. Am. Math. Soc. 376, No. 7, 4661-4678 (2023). MSC: 28A80 42B35 45D05 PDF BibTeX XML Cite \textit{M. Kesseböhmer} et al., Trans. Am. Math. Soc. 376, No. 7, 4661--4678 (2023; Zbl 07709416) Full Text: DOI arXiv
Lu, Jian-Feng; Wang, Shi; Zhang, Min-Min Self-similar measures with product-form digit sets and their spectra. (English) Zbl 07708116 J. Math. Anal. Appl. 527, No. 1, Part 2, Article ID 127340, 15 p. (2023). Reviewer: Wen-hui Ai (Changsha) MSC: 42B10 42A85 28A80 PDF BibTeX XML Cite \textit{J.-F. Lu} et al., J. Math. Anal. Appl. 527, No. 1, Part 2, Article ID 127340, 15 p. (2023; Zbl 07708116) Full Text: DOI
Ban, Jung-Chao; Hu, Wen-Guei; Lai, Guan-Yu Boundary complexity and surface entropy of 2-multiplicative integer systems on \(\mathbb{N}^d\). (English) Zbl 1516.37019 J. Math. Phys. 64, No. 6, Article ID 062704, 16 p. (2023). MSC: 37B10 37C45 37B40 28A78 28A80 PDF BibTeX XML Cite \textit{J.-C. Ban} et al., J. Math. Phys. 64, No. 6, Article ID 062704, 16 p. (2023; Zbl 1516.37019) Full Text: DOI arXiv
Bernard, Pierre-Antoine; Crampé, Nicolas; Vinet, Luc Entanglement of free fermions on Johnson graphs. (English) Zbl 1516.81092 J. Math. Phys. 64, No. 6, Article ID 061903, 15 p. (2023). MSC: 81Q35 81V74 81P40 81R05 PDF BibTeX XML Cite \textit{P.-A. Bernard} et al., J. Math. Phys. 64, No. 6, Article ID 061903, 15 p. (2023; Zbl 1516.81092) Full Text: DOI arXiv
Wang, Zhi-Yong; Liu, Jing-Cheng; Dong, Xin-Han On zeros and spectral property of self-affine measures. (English) Zbl 07707718 Nonlinearity 36, No. 8, 4187-4208 (2023). Reviewer: Wen-hui Ai (Changsha) MSC: 28A80 42C05 46C05 PDF BibTeX XML Cite \textit{Z.-Y. Wang} et al., Nonlinearity 36, No. 8, 4187--4208 (2023; Zbl 07707718) Full Text: DOI
Jorgensen, Palle E. T.; Song, Myung-Sin Mathematics of multilevel systems. Data, scaling, images, signals, and fractals. (English) Zbl 07707280 Contemporary Mathematics and Its Applications: Monographs, Expositions and Lecture Notes 8. Singapore: World Scientific (ISBN 978-981-12-6897-7/hbk; 978-981-12-6901-1/ebook). (2023). MSC: 42-01 42C40 94A12 28A80 PDF BibTeX XML Full Text: DOI
Baker, Simon Overlapping iterated function systems from the perspective of metric number theory. (English) Zbl 07704550 Memoirs of the American Mathematical Society 1428. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-6440-0/pbk; 978-1-4704-7544-4/ebook). v, 95 p. (2023). MSC: 11-02 11K60 28A80 37C45 PDF BibTeX XML Cite \textit{S. Baker}, Overlapping iterated function systems from the perspective of metric number theory. Providence, RI: American Mathematical Society (AMS) (2023; Zbl 07704550) Full Text: DOI arXiv
Wang, Yupin Fractional quantum Julia set. (English) Zbl 07702362 Appl. Math. Comput. 453, Article ID 128077, 11 p. (2023). MSC: 26A33 28A80 39A13 39A33 PDF BibTeX XML Cite \textit{Y. Wang}, Appl. Math. Comput. 453, Article ID 128077, 11 p. (2023; Zbl 07702362) Full Text: DOI
Pekcan, Onder; Arsan, Taner Chaotic - deterministic or random nature of earthquakes: a phase space analysis. (English) Zbl 07701575 Symmetry Cult. Sci. 34, No. 1, 45-59 (2023). MSC: 62M10 PDF BibTeX XML Cite \textit{O. Pekcan} and \textit{T. Arsan}, Symmetry Cult. Sci. 34, No. 1, 45--59 (2023; Zbl 07701575) Full Text: DOI
Kubota, Sho Combinatorial necessary conditions for regular graphs to induce periodic quantum walks. (English) Zbl 1517.05103 Linear Algebra Appl. 673, 259-279 (2023). MSC: 05C50 05E30 05C31 81Q35 05C20 PDF BibTeX XML Cite \textit{S. Kubota}, Linear Algebra Appl. 673, 259--279 (2023; Zbl 1517.05103) Full Text: DOI arXiv
O’Malley, Miguel; Kalisnik, Sara; Otter, Nina Alpha magnitude. (English) Zbl 07701455 J. Pure Appl. Algebra 227, No. 11, Article ID 107396, 30 p. (2023). MSC: 55N31 62R40 28A80 28A78 PDF BibTeX XML Cite \textit{M. O'Malley} et al., J. Pure Appl. Algebra 227, No. 11, Article ID 107396, 30 p. (2023; Zbl 07701455) Full Text: DOI arXiv
Jorgensen, Palle; Tian, James Harmonic analysis of network systems via kernels and their boundary realizations. (English) Zbl 07701141 Discrete Contin. Dyn. Syst., Ser. S 16, No. 2, 277-308 (2023). MSC: 46N30 46N50 42C15 46N20 31A15 81S25 PDF BibTeX XML Cite \textit{P. Jorgensen} and \textit{J. Tian}, Discrete Contin. Dyn. Syst., Ser. S 16, No. 2, 277--308 (2023; Zbl 07701141) Full Text: DOI
Wang, Qi; Wang, Xueli Non-spectrality of a class of Moran measures on \(\mathbb{R}^3\). (English) Zbl 07700956 Complex Anal. Oper. Theory 17, No. 5, Paper No. 54, 15 p. (2023). MSC: 28A80 42C05 46C05 PDF BibTeX XML Cite \textit{Q. Wang} and \textit{X. Wang}, Complex Anal. Oper. Theory 17, No. 5, Paper No. 54, 15 p. (2023; Zbl 07700956) Full Text: DOI
Tetenov, Andrei; Kutlimuratov, Allanazar On the structure of self-affine Jordan arcs in \(\mathbb{R}^2\). (English) Zbl 07700913 Demonstr. Math. 56, Article ID 20220228, 12 p. (2023). MSC: 28A80 26A27 PDF BibTeX XML Cite \textit{A. Tetenov} and \textit{A. Kutlimuratov}, Demonstr. Math. 56, Article ID 20220228, 12 p. (2023; Zbl 07700913) Full Text: DOI
Aslam, Faheem; Zil-E-Huma; Bibi, Rashida; Ferreira, Paulo The nexus between Twitter-based uncertainty and cryptocurrencies: a multifractal analysis. (English) Zbl 07700493 Fractals 31, No. 3, Article ID 2350027, 21 p. (2023). MSC: 91G99 91D30 28A80 PDF BibTeX XML Cite \textit{F. Aslam} et al., Fractals 31, No. 3, Article ID 2350027, 21 p. (2023; Zbl 07700493) Full Text: DOI
Xie, Zixuan; Wang, Yucheng; Xu, Wanyue; Zhu, Liwang; Li, Wei; Zhang, Zhongzhi Combinatorial properties for a class of simplicial complexes extended from pseudo-fractal scale-free web. (English) Zbl 1517.05184 Fractals 31, No. 3, Article ID 2350022, 14 p. (2023). MSC: 05E45 05C15 68R10 28A80 PDF BibTeX XML Cite \textit{Z. Xie} et al., Fractals 31, No. 3, Article ID 2350022, 14 p. (2023; Zbl 1517.05184) Full Text: DOI arXiv
O’Neill, Joseph; Schoth, Andreas Fractal algebra a mathematical allegory. (English) Zbl 07700461 Fractals 31, No. 1, Article ID 2350020, 40 p. (2023). MSC: 28Axx 37Dxx 81Pxx PDF BibTeX XML Cite \textit{J. O'Neill} and \textit{A. Schoth}, Fractals 31, No. 1, Article ID 2350020, 40 p. (2023; Zbl 07700461) Full Text: DOI
Fariello, Ricardo; Bourke, Paul; Lopes, João P. Calculating Julia fractal sets in any embedding dimension. (English) Zbl 07700459 Fractals 31, No. 1, Article ID 2350018, 7 p. (2023). MSC: 37F10 65E05 PDF BibTeX XML Cite \textit{R. Fariello} et al., Fractals 31, No. 1, Article ID 2350018, 7 p. (2023; Zbl 07700459) Full Text: DOI
Wang, Kangle Construction of fractal soliton solutions for the fractional evolution equations with conformable derivative. (English) Zbl 07700455 Fractals 31, No. 1, Article ID 2350014, 10 p. (2023). MSC: 35Q53 35C08 26A33 35R11 28A80 PDF BibTeX XML Cite \textit{K. Wang}, Fractals 31, No. 1, Article ID 2350014, 10 p. (2023; Zbl 07700455) Full Text: DOI
Peng, Lulu; Zeng, Cheng; Chen, Dirong; Xue, Yumei; Zhao, Zixuan Average Fermat distance of a pseudo-fractal hierarchical scale-free network. (English) Zbl 1517.05163 Fractals 31, No. 1, Article ID 2350013, 12 p. (2023). MSC: 05C82 05C12 28A80 PDF BibTeX XML Cite \textit{L. Peng} et al., Fractals 31, No. 1, Article ID 2350013, 12 p. (2023; Zbl 1517.05163) Full Text: DOI
Liu, Jia; Tan, Bo; Wu, Jun On the 1-prevalent continuous functions on compact sets and dimensions. (English) Zbl 07700310 Nonlinearity 36, No. 7, 3734-3750 (2023). MSC: 28A80 28C10 PDF BibTeX XML Cite \textit{J. Liu} et al., Nonlinearity 36, No. 7, 3734--3750 (2023; Zbl 07700310) Full Text: DOI
Deng, Fei-Fei; Ye, Yuan-Ling Vector-valued Ruelle operator for weakly contractive IFS and Dini matrix potentials. (English) Zbl 07700307 Nonlinearity 36, No. 7, 3661-3683 (2023). Reviewer: Thomas B. Ward (Durham) MSC: 37C30 37A30 28A80 PDF BibTeX XML Cite \textit{F.-F. Deng} and \textit{Y.-L. Ye}, Nonlinearity 36, No. 7, 3661--3683 (2023; Zbl 07700307) Full Text: DOI
Barnsley, Michael F.; Viswanathan, P. Histopolating fractal functions. (English) Zbl 07700262 J. Comput. Appl. Math. 425, Article ID 115073, 16 p. (2023). MSC: 28A80 41A30 PDF BibTeX XML Cite \textit{M. F. Barnsley} and \textit{P. Viswanathan}, J. Comput. Appl. Math. 425, Article ID 115073, 16 p. (2023; Zbl 07700262) Full Text: DOI