Verma, Manuj; Priyadarshi, Amit; Verma, Saurabh Vector-valued fractal functions: fractal dimension and fractional calculus. (English) Zbl 07689515 Indag. Math., New Ser. 34, No. 4, 830-853 (2023). MSC: 28-XX 26-XX PDF BibTeX XML Cite \textit{M. Verma} et al., Indag. Math., New Ser. 34, No. 4, 830--853 (2023; Zbl 07689515) Full Text: DOI arXiv OpenURL
Brown-Sarre, Adam; Hussain, Mumtaz A note on the relative growth of products of multiple partial quotients in the plane. (English) Zbl 07689476 Can. Math. Bull. 66, No. 2, 544-552 (2023). MSC: 11K50 11K55 PDF BibTeX XML Cite \textit{A. Brown-Sarre} and \textit{M. Hussain}, Can. Math. Bull. 66, No. 2, 544--552 (2023; Zbl 07689476) Full Text: DOI OpenURL
Hussain, Mumtaz; Wang, Weiliang Higher-dimensional shrinking target problem for beta dynamical systems. (English) Zbl 07687692 J. Aust. Math. Soc. 114, No. 3, 289-311 (2023). Reviewer: Symon Serbenyuk (Kyjiw) MSC: 11K55 28A80 11J83 11K60 37C45 PDF BibTeX XML Cite \textit{M. Hussain} and \textit{W. Wang}, J. Aust. Math. Soc. 114, No. 3, 289--311 (2023; Zbl 07687692) Full Text: DOI arXiv OpenURL
Tan, Bo; Tian, Chen; Wang, Baowei The distribution of the large partial quotients in continued fraction expansions. (English) Zbl 07685343 Sci. China, Math. 66, No. 5, 935-956 (2023). Reviewer: Symon Serbenyuk (Kyjiw) MSC: 11K50 28A80 PDF BibTeX XML Cite \textit{B. Tan} et al., Sci. China, Math. 66, No. 5, 935--956 (2023; Zbl 07685343) Full Text: DOI OpenURL
Graczyk, Jacek; Świątek, Grzegorz Analytic structures and harmonic measure at bifurcation locus. (English) Zbl 07684524 Adv. Math. 421, Article ID 108998, 38 p. (2023). MSC: 30D05 31C40 37F35 28A75 30C75 30C85 PDF BibTeX XML Cite \textit{J. Graczyk} and \textit{G. Świątek}, Adv. Math. 421, Article ID 108998, 38 p. (2023; Zbl 07684524) Full Text: DOI arXiv OpenURL
Li, Bing; Liao, Lingmin; Velani, Sanju; Zorin, Evgeniy The shrinking target problem for matrix transformations of tori: revisiting the standard problem. (English) Zbl 07684523 Adv. Math. 421, Article ID 108994, 74 p. (2023). MSC: 11J83 28D05 11K60 28A80 37A44 60F20 PDF BibTeX XML Cite \textit{B. Li} et al., Adv. Math. 421, Article ID 108994, 74 p. (2023; Zbl 07684523) Full Text: DOI arXiv OpenURL
Feng, De-Jun Dimension of invariant measures for affine iterated function systems. (English) Zbl 07684350 Duke Math. J. 172, No. 4, 701-774 (2023). MSC: 28A80 37C45 PDF BibTeX XML Cite \textit{D.-J. Feng}, Duke Math. J. 172, No. 4, 701--774 (2023; Zbl 07684350) Full Text: DOI arXiv OpenURL
Dudko, Artem; Gorbovickis, Igors; Tucker, Warwick Lower bounds on the Hausdorff dimension of some Julia sets. (English) Zbl 07682259 Nonlinearity 36, No. 5, 2867-2893 (2023). MSC: 37F35 37F10 65G20 PDF BibTeX XML Cite \textit{A. Dudko} et al., Nonlinearity 36, No. 5, 2867--2893 (2023; Zbl 07682259) Full Text: DOI arXiv OpenURL
Hu, Yeyao; Li, Yuan; Yang, Wen Partial regularity of the fractional Gelfand-Liouville system. (English) Zbl 07682002 Discrete Contin. Dyn. Syst. 43, No. 7, 2721-2736 (2023). MSC: 35B65 35J57 35J61 35R11 PDF BibTeX XML Cite \textit{Y. Hu} et al., Discrete Contin. Dyn. Syst. 43, No. 7, 2721--2736 (2023; Zbl 07682002) Full Text: DOI OpenURL
Yu, Han Fractal projections with an application in number theory. (English) Zbl 07680142 Ergodic Theory Dyn. Syst. 43, No. 5, 1760-1784 (2023). MSC: 11A63 11Z05 11K55 28A80 PDF BibTeX XML Cite \textit{H. Yu}, Ergodic Theory Dyn. Syst. 43, No. 5, 1760--1784 (2023; Zbl 07680142) Full Text: DOI arXiv OpenURL
Brunet, Guilhem Dimensions of ‘self-affine sponges’ invariant under the action of multiplicative integers. (English) Zbl 07680091 Ergodic Theory Dyn. Syst. 43, No. 2, 417-459 (2023). MSC: 28A80 37C45 PDF BibTeX XML Cite \textit{G. Brunet}, Ergodic Theory Dyn. Syst. 43, No. 2, 417--459 (2023; Zbl 07680091) Full Text: DOI arXiv OpenURL
Das, Tushar; Fishman, Lior; Simmons, David; Urbański, Mariusz Hausdorff dimensions of perturbations of a conformal iterated function system via thermodynamic formalism. (English) Zbl 07679755 Sel. Math., New Ser. 29, No. 2, Paper No. 19, 56 p. (2023). MSC: 37C45 11K50 37D35 37C30 11K60 28A78 37F35 28A80 37B10 PDF BibTeX XML Cite \textit{T. Das} et al., Sel. Math., New Ser. 29, No. 2, Paper No. 19, 56 p. (2023; Zbl 07679755) Full Text: DOI arXiv OpenURL
Lyakhov, L. N.; Sanina, E. L. Differential and integral operations in hidden spherical symmetry and the dimension of the Koch curve. (English. Russian original) Zbl 07676243 Math. Notes 113, No. 4, 502-511 (2023); translation from Mat. Zametki 113, No. 4, 517-528 (2023). MSC: 28Axx 11Kxx 37Fxx PDF BibTeX XML Cite \textit{L. N. Lyakhov} and \textit{E. L. Sanina}, Math. Notes 113, No. 4, 502--511 (2023; Zbl 07676243); translation from Mat. Zametki 113, No. 4, 517--528 (2023) Full Text: DOI OpenURL
Du, Yali; Wei, Chun; Wen, Shengyou Box-counting dimensions of popcorn subsets. (English) Zbl 07674718 J. Math. Anal. Appl. 524, No. 2, Article ID 127088, 10 p. (2023). Reviewer: Takao Komatsu (Hangzhou) MSC: 11B25 11B57 28A75 11N05 28A78 PDF BibTeX XML Cite \textit{Y. Du} et al., J. Math. Anal. Appl. 524, No. 2, Article ID 127088, 10 p. (2023; Zbl 07674718) Full Text: DOI OpenURL
Chen, Changhao; Kerr, Bryce; Maynard, James; Shparlinski, Igor E. Metric theory of Weyl sums. (English) Zbl 07673791 Math. Ann. 385, No. 1-2, 309-355 (2023). Reviewer: Mehdi Hassani (Zanjan) MSC: 11L15 28A78 PDF BibTeX XML Cite \textit{C. Chen} et al., Math. Ann. 385, No. 1--2, 309--355 (2023; Zbl 07673791) Full Text: DOI arXiv OpenURL
Ayoush, Rami On finite configurations in the spectra of singular measures. (English) Zbl 07673779 Math. Z. 304, No. 1, Paper No. 6, 17 p. (2023). MSC: 28A78 42B10 PDF BibTeX XML Cite \textit{R. Ayoush}, Math. Z. 304, No. 1, Paper No. 6, 17 p. (2023; Zbl 07673779) Full Text: DOI arXiv OpenURL
Shang, Lei; Wu, Min On the growth behavior of partial quotients in continued fractions. (English) Zbl 07673680 Arch. Math. 120, No. 3, 297-305 (2023). Reviewer: Manuel Hauke (Graz) MSC: 11K50 26A21 28A78 28A80 11J83 PDF BibTeX XML Cite \textit{L. Shang} and \textit{M. Wu}, Arch. Math. 120, No. 3, 297--305 (2023; Zbl 07673680) Full Text: DOI OpenURL
Fang, Lulu; Ma, Jihua; Song, Kunkun; Wu, Min Dimensions of certain sets of continued fractions with non-decreasing partial quotients. (English) Zbl 07673423 Ramanujan J. 60, No. 4, 965-980 (2023). Reviewer: Mykhaylo Pahirya (Uzhhorod) MSC: 11K50 28A80 PDF BibTeX XML Cite \textit{L. Fang} et al., Ramanujan J. 60, No. 4, 965--980 (2023; Zbl 07673423) Full Text: DOI arXiv OpenURL
Berthé, Valérie; Cesaratto, Eda; Rotondo, Pablo; Safe, Martín D. Lochs-type theorems beyond positive entropy. (English) Zbl 07673373 Monatsh. Math. 200, No. 4, 737-779 (2023). MSC: 11K55 11K50 11B57 28D20 PDF BibTeX XML Cite \textit{V. Berthé} et al., Monatsh. Math. 200, No. 4, 737--779 (2023; Zbl 07673373) Full Text: DOI arXiv OpenURL
Bárány, Balázs; Jurga, Natalia; Kolossváry, István On the convergence rate of the chaos game. (English) Zbl 07672883 Int. Math. Res. Not. 2023, No. 5, 4456-4500 (2023). MSC: 37H12 37E30 37B10 37D25 28A80 28A78 PDF BibTeX XML Cite \textit{B. Bárány} et al., Int. Math. Res. Not. 2023, No. 5, 4456--4500 (2023; Zbl 07672883) Full Text: DOI arXiv OpenURL
Petschick, Jan Moritz; Rajeev, Karthika On the Basilica operation. (English) Zbl 07672088 Groups Geom. Dyn. 17, No. 1, 331-384 (2023). Reviewer: Egle Bettio (Venezia) MSC: 20E08 68Q70 PDF BibTeX XML Cite \textit{J. M. Petschick} and \textit{K. Rajeev}, Groups Geom. Dyn. 17, No. 1, 331--384 (2023; Zbl 07672088) Full Text: DOI arXiv OpenURL
Lučić, Danka; Rajala, Tapio; Takanen, Jyrki Dimension estimates for the boundary of planar Sobolev extension domains. (English) Zbl 07669706 Adv. Calc. Var. 16, No. 2, 517-528 (2023). MSC: 46E35 28A75 PDF BibTeX XML Cite \textit{D. Lučić} et al., Adv. Calc. Var. 16, No. 2, 517--528 (2023; Zbl 07669706) Full Text: DOI arXiv OpenURL
Navish, A. A.; Priya, M.; Uthayakumar, R. The relationship between the order of \((k, s)\)-Riemann-Liouville fractional integral and the fractal dimensions of a fractal function. (English) Zbl 07667007 J. Anal. 31, No. 1, 261-277 (2023). Reviewer: Ismail Huseynov (Mersin) MSC: 26A33 26B30 28A78 28A80 PDF BibTeX XML Cite \textit{A. A. Navish} et al., J. Anal. 31, No. 1, 261--277 (2023; Zbl 07667007) Full Text: DOI OpenURL
Serbenyuk, Symon Some types of numeral systems and their modeling. (English) Zbl 07667001 J. Anal. 31, No. 1, 149-177 (2023). Reviewer: Alexey Ustinov (Khabarovsk) MSC: 11K55 26A27 11J72 11H71 68P30 94B75 94B27 PDF BibTeX XML Cite \textit{S. Serbenyuk}, J. Anal. 31, No. 1, 149--177 (2023; Zbl 07667001) Full Text: DOI OpenURL
Kan, I. D.; Solovyov, G. Kh. System of inequalities in continued fractions from finite alphabets. (English. Russian original) Zbl 07664500 Math. Notes 113, No. 2, 212-219 (2023); translation from Mat. Zametki 113, No. 2, 197-206 (2023). Reviewer: Mykhaylo Pahirya (Uzhhorod) MSC: 11J70 11K55 PDF BibTeX XML Cite \textit{I. D. Kan} and \textit{G. Kh. Solovyov}, Math. Notes 113, No. 2, 212--219 (2023; Zbl 07664500); translation from Mat. Zametki 113, No. 2, 197--206 (2023) Full Text: DOI OpenURL
Li, Dan; Li, Jun Feng A Carleson problem for the Boussinesq operator. (English) Zbl 07663334 Acta Math. Sin., Engl. Ser. 39, No. 1, 119-148 (2023). MSC: 35Q55 35Q41 35J10 46E35 42B25 PDF BibTeX XML Cite \textit{D. Li} and \textit{J. F. Li}, Acta Math. Sin., Engl. Ser. 39, No. 1, 119--148 (2023; Zbl 07663334) Full Text: DOI OpenURL
Hambly, Ben; Koepernik, Peter Dimension results and local times for superdiffusions on fractals. (English) Zbl 07663012 Stochastic Processes Appl. 158, 377-417 (2023). MSC: 60J68 60J60 60J55 28A78 PDF BibTeX XML Cite \textit{B. Hambly} and \textit{P. Koepernik}, Stochastic Processes Appl. 158, 377--417 (2023; Zbl 07663012) Full Text: DOI OpenURL
Banaji, Amlan; Fraser, Jonathan M. Intermediate dimensions of infinitely generated attractors. (English) Zbl 07662347 Trans. Am. Math. Soc. 376, No. 4, 2449-2479 (2023). MSC: 28A80 37B10 11K50 PDF BibTeX XML Cite \textit{A. Banaji} and \textit{J. M. Fraser}, Trans. Am. Math. Soc. 376, No. 4, 2449--2479 (2023; Zbl 07662347) Full Text: DOI arXiv OpenURL
Daw, Lara; Seuret, Stéphane Potential method and projection theorems for macroscopic Hausdorff dimension. (English) Zbl 07662132 Adv. Math. 417, Article ID 108920, 29 p. (2023). MSC: 28Axx 31C40 PDF BibTeX XML Cite \textit{L. Daw} and \textit{S. Seuret}, Adv. Math. 417, Article ID 108920, 29 p. (2023; Zbl 07662132) Full Text: DOI arXiv OpenURL
Hu, Yu; Huang, Yan; Kong, Derong Univoque bases of real numbers: simply normal bases, irregular bases and multiple rationals. (English) Zbl 07662015 J. Number Theory 247, 46-74 (2023). MSC: 11A63 28A80 68R15 37B10 PDF BibTeX XML Cite \textit{Y. Hu} et al., J. Number Theory 247, 46--74 (2023; Zbl 07662015) Full Text: DOI arXiv OpenURL
Pham Truong Xuan; Nguyen Thi Van Anh On attractor’s dimensions of the modified Leray-alpha equation. (English) Zbl 07661131 Asymptotic Anal. 131, No. 2, 185-207 (2023). MSC: 35Q35 76D05 76F99 35B41 35D30 35A01 35A02 35B40 37L30 28A80 35R01 PDF BibTeX XML Cite \textit{Pham Truong Xuan} and \textit{Nguyen Thi Van Anh}, Asymptotic Anal. 131, No. 2, 185--207 (2023; Zbl 07661131) Full Text: DOI arXiv OpenURL
Bos, Philip; Hussain, Mumtaz; Simmons, David The generalised Hausdorff measure of sets of Dirichlet non-improvable numbers. (English) Zbl 07660695 Proc. Am. Math. Soc. 151, No. 5, 1823-1838 (2023). Reviewer: Symon Serbenyuk (Kyjiw) MSC: 11J83 11K60 PDF BibTeX XML Cite \textit{P. Bos} et al., Proc. Am. Math. Soc. 151, No. 5, 1823--1838 (2023; Zbl 07660695) Full Text: DOI arXiv OpenURL
Fraser, Robert; Hambrook, Kyle Explicit Salem sets in \(\mathbb{R}^n\). (English) Zbl 07658621 Adv. Math. 416, Article ID 108901, 23 p. (2023). Reviewer: Symon Serbenyuk (Kyjiw) MSC: 11J83 28A78 28A80 42B10 PDF BibTeX XML Cite \textit{R. Fraser} and \textit{K. Hambrook}, Adv. Math. 416, Article ID 108901, 23 p. (2023; Zbl 07658621) Full Text: DOI arXiv OpenURL
Buczolich, Zoltán; Seuret, Stéphane Measures, annuli and dimensions. (English) Zbl 07658204 Math. Z. 303, No. 4, Paper No. 79, 34 p. (2023). MSC: 28A78 28A80 37A05 37B20 37A25 37D25 PDF BibTeX XML Cite \textit{Z. Buczolich} and \textit{S. Seuret}, Math. Z. 303, No. 4, Paper No. 79, 34 p. (2023; Zbl 07658204) Full Text: DOI arXiv OpenURL
Bandi, Prasuna; Ghosh, Anish; Nandi, Debanjan Exact approximation order and well-distributed sets. (English) Zbl 07656381 Adv. Math. 414, Article ID 108871, 19 p. (2023). Reviewer: Symon Serbenyuk (Kyjiw) MSC: 11J83 11J70 37D40 PDF BibTeX XML Cite \textit{P. Bandi} et al., Adv. Math. 414, Article ID 108871, 19 p. (2023; Zbl 07656381) Full Text: DOI arXiv OpenURL
Corwin, Ivan; Hammond, Alan; Hegde, Milind; Matetski, Konstantin Exceptional times when the KPZ fixed point violates Johansson’s conjecture on maximizer uniqueness. (English) Zbl 07655250 Electron. J. Probab. 28, Paper No. 11, 81 p. (2023). MSC: 82C21 82C43 82D60 82C22 60J25 60J65 60G55 33C10 28A80 15B52 60B20 PDF BibTeX XML Cite \textit{I. Corwin} et al., Electron. J. Probab. 28, Paper No. 11, 81 p. (2023; Zbl 07655250) Full Text: DOI arXiv Link OpenURL
Bucur, Ileana; Păltineanu, Gavriil On the dual of a weighted space of vector functions and some approximation results. (English) Zbl 07650564 Mediterr. J. Math. 20, No. 1, Paper No. 49, 18 p. (2023). MSC: 26E50 28A20 28A25 28A78 28E10 54F45 60A86 37C25 PDF BibTeX XML Cite \textit{I. Bucur} and \textit{G. Păltineanu}, Mediterr. J. Math. 20, No. 1, Paper No. 49, 18 p. (2023; Zbl 07650564) Full Text: DOI OpenURL
Huang, Yan; Kong, Derong Intersections of middle-\(\alpha\) Cantor sets with a fixed translation. (English) Zbl 07648411 Nonlinearity 36, No. 3, 1461-1490 (2023). MSC: 28A78 37A10 28D10 28A80 37B10 PDF BibTeX XML Cite \textit{Y. Huang} and \textit{D. Kong}, Nonlinearity 36, No. 3, 1461--1490 (2023; Zbl 07648411) Full Text: DOI arXiv OpenURL
Koivusalo, Henna; Liao, Lingmin; Persson, Tomas Uniform random covering problems. (English) Zbl 07643732 Int. Math. Res. Not. 2023, No. 1, 455-481 (2023). Reviewer: Enrico Zoli (Faenza) MSC: 11K55 37A44 37A46 PDF BibTeX XML Cite \textit{H. Koivusalo} et al., Int. Math. Res. Not. 2023, No. 1, 455--481 (2023; Zbl 07643732) Full Text: DOI arXiv OpenURL
Fan, Aihua; Meyer, Yves Trigonometric multiplicative chaos and applications to random distributions. (English) Zbl 07643635 Sci. China, Math. 66, No. 1, 3-36 (2023). MSC: 60G57 60G46 42A20 28A78 PDF BibTeX XML Cite \textit{A. Fan} and \textit{Y. Meyer}, Sci. China, Math. 66, No. 1, 3--36 (2023; Zbl 07643635) Full Text: DOI arXiv OpenURL
Falconer, Kenneth J.; Fraser, Jonathan M.; Käenmäki, Antti Minkowski dimension for measures. (English) Zbl 07630928 Proc. Am. Math. Soc. 151, No. 2, 779-794 (2023). MSC: 28A75 28A80 54E35 28A78 54F45 PDF BibTeX XML Cite \textit{K. J. Falconer} et al., Proc. Am. Math. Soc. 151, No. 2, 779--794 (2023; Zbl 07630928) Full Text: DOI arXiv OpenURL
Dysthe, Dexter; Lai, Chun-Kit Hausdorff and Fourier dimension of graph of continuous additive processes. (English) Zbl 07628753 Stochastic Processes Appl. 155, 355-392 (2023). MSC: 28A80 60A10 60G51 42A38 PDF BibTeX XML Cite \textit{D. Dysthe} and \textit{C.-K. Lai}, Stochastic Processes Appl. 155, 355--392 (2023; Zbl 07628753) Full Text: DOI arXiv OpenURL
Mendel, Manor Dvoretzky-type theorem for Ahlfors regular spaces. (English) Zbl 1504.51009 Stud. Math. 268, No. 1, 1-22 (2023). Reviewer: Victor V. Pambuccian (Glendale) MSC: 51F30 28A78 PDF BibTeX XML Cite \textit{M. Mendel}, Stud. Math. 268, No. 1, 1--22 (2023; Zbl 1504.51009) Full Text: DOI arXiv OpenURL
Ujino, Kota Exact Hausdorff dimension of the spectral measure for the graph Laplacian on a sparse tree. (English) Zbl 07624112 J. Math. Anal. Appl. 519, No. 2, Article ID 126811, 39 p. (2023). MSC: 81Qxx 47Bxx 47Nxx PDF BibTeX XML Cite \textit{K. Ujino}, J. Math. Anal. Appl. 519, No. 2, Article ID 126811, 39 p. (2023; Zbl 07624112) Full Text: DOI OpenURL
Miao, Changxing; Yuan, Jiye; Zhao, Tengfei [Barron, Alex] Maximal estimates for Weyl sums on \(\mathbb{T}^d\) (with an appendix by Alex Barron). (English) Zbl 1502.42016 J. Funct. Anal. 284, No. 2, Article ID 109747, 38 p. (2023). MSC: 42B25 42B37 35Q41 PDF BibTeX XML Cite \textit{C. Miao} et al., J. Funct. Anal. 284, No. 2, Article ID 109747, 38 p. (2023; Zbl 1502.42016) Full Text: DOI OpenURL
Stolyarov, Dmitriy Dimension estimates for vectorial measures with restricted spectrum. (English) Zbl 07616885 J. Funct. Anal. 284, No. 1, Article ID 109735, 16 p. (2023). MSC: 28A75 28A78 46E40 PDF BibTeX XML Cite \textit{D. Stolyarov}, J. Funct. Anal. 284, No. 1, Article ID 109735, 16 p. (2023; Zbl 07616885) Full Text: DOI arXiv OpenURL
Wu, Yu-Feng Inhomogeneous and simultaneous Diophantine approximation in beta dynamical systems. (English) Zbl 07616178 J. Math. Anal. Appl. 519, No. 1, Article ID 126781, 18 p. (2023). Reviewer: Symon Serbenyuk (Kyjiw) MSC: 11K55 28A80 PDF BibTeX XML Cite \textit{Y.-F. Wu}, J. Math. Anal. Appl. 519, No. 1, Article ID 126781, 18 p. (2023; Zbl 07616178) Full Text: DOI arXiv OpenURL
Morris, Ian D. On affine iterated function systems which robustly admit an invariant affine subspace. (English) Zbl 1502.28009 Proc. Am. Math. Soc. 151, No. 1, 101-112 (2023). Reviewer: Peter Massopust (München) MSC: 28A80 PDF BibTeX XML Cite \textit{I. D. Morris}, Proc. Am. Math. Soc. 151, No. 1, 101--112 (2023; Zbl 1502.28009) Full Text: DOI arXiv OpenURL
Shen, Zhipeng Modified shrinking target problems on self-conformal sets. (English) Zbl 1501.28008 J. Math. Anal. Appl. 517, No. 2, Article ID 126659, 33 p. (2023). MSC: 28A80 PDF BibTeX XML Cite \textit{Z. Shen}, J. Math. Anal. Appl. 517, No. 2, Article ID 126659, 33 p. (2023; Zbl 1501.28008) Full Text: DOI OpenURL
Li, Chang-Bing; Ye, Yuan-Ling A comparison of topological entropies for nonautonomous dynamical systems. (English) Zbl 1505.37029 J. Math. Anal. Appl. 517, No. 2, Article ID 126627, 23 p. (2023). MSC: 37B40 37B55 PDF BibTeX XML Cite \textit{C.-B. Li} and \textit{Y.-L. Ye}, J. Math. Anal. Appl. 517, No. 2, Article ID 126627, 23 p. (2023; Zbl 1505.37029) Full Text: DOI OpenURL
Landrigan, Michael; Powell, Matthew Fine dimensional properties of spectral measures. (English) Zbl 07688015 J. Spectr. Theory 12, No. 3, 1255-1293 (2022). MSC: 81Q10 47B36 PDF BibTeX XML Cite \textit{M. Landrigan} and \textit{M. Powell}, J. Spectr. Theory 12, No. 3, 1255--1293 (2022; Zbl 07688015) Full Text: DOI arXiv OpenURL
Tamburelli, Andrea Degeneration of globally hyperbolic maximal anti-de Sitter structures along rays. (English) Zbl 07682748 Commun. Anal. Geom. 30, No. 6, 1413-1441 (2022). MSC: 53C50 32G15 37C45 PDF BibTeX XML Cite \textit{A. Tamburelli}, Commun. Anal. Geom. 30, No. 6, 1413--1441 (2022; Zbl 07682748) Full Text: DOI arXiv OpenURL
Verma, S.; Massopust, P. R. Dimension preserving approximation. (English) Zbl 07676160 Aequationes Math. 96, No. 6, 1233-1247 (2022). MSC: 28A80 41A10 PDF BibTeX XML Cite \textit{S. Verma} and \textit{P. R. Massopust}, Aequationes Math. 96, No. 6, 1233--1247 (2022; Zbl 07676160) Full Text: DOI arXiv OpenURL
Gamburd, Alexander On the origins, nature, and impact of Bourgain’s discretized sum-product theorem. (English) Zbl 07672484 Avila, Artur (ed.) et al., Analysis at large. Dedicated to the life and work of Jean Bourgain. Cham: Springer. 59-100 (2022). MSC: 11-03 01A70 11B30 11K55 PDF BibTeX XML Cite \textit{A. Gamburd}, in: Analysis at large. Dedicated to the life and work of Jean Bourgain. Cham: Springer. 59--100 (2022; Zbl 07672484) Full Text: DOI OpenURL
Attia, Najmeddine On the multifractal analysis of a non-standard branching random walk. (English) Zbl 07672127 Acta Sci. Math. 88, No. 3-4, 697-722 (2022). MSC: 11K55 60G50 PDF BibTeX XML Cite \textit{N. Attia}, Acta Sci. Math. 88, No. 3--4, 697--722 (2022; Zbl 07672127) Full Text: DOI OpenURL
Serbenyuk, Symon The generalized shifts and rational numbers. (English) Zbl 07655915 Tatra Mt. Math. Publ. 82, 9-16 (2022). MSC: 11K55 11J72 26A30 PDF BibTeX XML Cite \textit{S. Serbenyuk}, Tatra Mt. Math. Publ. 82, 9--16 (2022; Zbl 07655915) Full Text: DOI OpenURL
Neunhäuserer, Jörg Representations of real numbers induced by probability distributions on \(\mathbb{N}\). (English) Zbl 07655914 Tatra Mt. Math. Publ. 82, 1-8 (2022). Reviewer: Symon Serbenyuk (Kyjiw) MSC: 11K55 60E05 28A78 28A80 PDF BibTeX XML Cite \textit{J. Neunhäuserer}, Tatra Mt. Math. Publ. 82, 1--8 (2022; Zbl 07655914) Full Text: DOI arXiv OpenURL
Schweiger, Fritz Some results on invariant measures for \(1\)-dimensional maps. (English) Zbl 07653740 Tokyo J. Math. 45, No. 2, 361-378 (2022). Reviewer: Takao Komatsu (Hangzhou) MSC: 11K55 28D05 37A05 PDF BibTeX XML Cite \textit{F. Schweiger}, Tokyo J. Math. 45, No. 2, 361--378 (2022; Zbl 07653740) Full Text: DOI Link OpenURL
Di Domenico, Elena; Fernández-Alcober, Gustavo A.; Noce, Marialaura; Thillaisundaram, Anitha \(p\)-Basilica groups. (English) Zbl 07648639 Mediterr. J. Math. 19, No. 6, Paper No. 275, 28 p. (2022). MSC: 20E08 20E18 28A78 20E28 PDF BibTeX XML Cite \textit{E. Di Domenico} et al., Mediterr. J. Math. 19, No. 6, Paper No. 275, 28 p. (2022; Zbl 07648639) Full Text: DOI arXiv OpenURL
Alexander, Ted; Murphy, Tommy Upper bounds for the Hausdorff dimension of Weierstrass curves. (English) Zbl 07646502 PUMP J. Undergrad. Res. 5, 199-205 (2022). MSC: 28A78 28A80 PDF BibTeX XML Cite \textit{T. Alexander} and \textit{T. Murphy}, PUMP J. Undergrad. Res. 5, 199--205 (2022; Zbl 07646502) Full Text: arXiv Link OpenURL
Chandra, Subhash; Abbas, Syed Fractal dimensions of mixed Katugampola fractional integral associated with vector valued functions. (English) Zbl 1508.26005 Chaos Solitons Fractals 164, Article ID 112648, 9 p. (2022). MSC: 26A33 28A80 28A78 26A45 PDF BibTeX XML Cite \textit{S. Chandra} and \textit{S. Abbas}, Chaos Solitons Fractals 164, Article ID 112648, 9 p. (2022; Zbl 1508.26005) Full Text: DOI OpenURL
Cui, Keqin; Ma, Wenjia; Jiang, Kan Geometric progressions meet Cantor sets. (English) Zbl 1507.28004 Chaos Solitons Fractals 163, Article ID 112567, 4 p. (2022). MSC: 28A80 11K55 PDF BibTeX XML Cite \textit{K. Cui} et al., Chaos Solitons Fractals 163, Article ID 112567, 4 p. (2022; Zbl 1507.28004) Full Text: DOI OpenURL
Daza, Alvar; Wagemakers, Alexandre; Sanjuán, Miguel A. F. Classifying basins of attraction using the basin entropy. (English) Zbl 1505.37011 Chaos Solitons Fractals 159, Article ID 112112, 7 p. (2022). MSC: 37A35 28A80 28A78 PDF BibTeX XML Cite \textit{A. Daza} et al., Chaos Solitons Fractals 159, Article ID 112112, 7 p. (2022; Zbl 1505.37011) Full Text: DOI arXiv OpenURL
Qu, Congcong; Wang, Juan Exceptional sets for average conformal dynamical systems. (English) Zbl 1504.37006 Chaos Solitons Fractals 161, Article ID 112351, 17 p. (2022). MSC: 37A05 37B40 37D05 PDF BibTeX XML Cite \textit{C. Qu} and \textit{J. Wang}, Chaos Solitons Fractals 161, Article ID 112351, 17 p. (2022; Zbl 1504.37006) Full Text: DOI arXiv OpenURL
Marcone, Alberto; Valenti, Manlio Effective aspects of Hausdorff and Fourier dimension. (English) Zbl 07641235 Computability 11, No. 3-4, 299-333 (2022). MSC: 03Dxx PDF BibTeX XML Cite \textit{A. Marcone} and \textit{M. Valenti}, Computability 11, No. 3--4, 299--333 (2022; Zbl 07641235) Full Text: DOI arXiv OpenURL
Feng, Jiahui; Kuang, Rui Scrambled sets and chain recurrence points of generic graph maps. (English) Zbl 07639058 J. Difference Equ. Appl. 28, No. 11-12, 1507-1518 (2022). MSC: 37E25 37B02 37B20 PDF BibTeX XML Cite \textit{J. Feng} and \textit{R. Kuang}, J. Difference Equ. Appl. 28, No. 11--12, 1507--1518 (2022; Zbl 07639058) Full Text: DOI OpenURL
Pollicott, M.; Vytnova, P. Hausdorff dimension estimates applied to Lagrange and Markov spectra, Zaremba theory, and limit sets of Fuchsian groups. (English) Zbl 07638529 Trans. Am. Math. Soc., Ser. B 9, 1102-1159 (2022). Reviewer: Symon Serbenyuk (Kyjiw) MSC: 11K55 11J06 37C30 PDF BibTeX XML Cite \textit{M. Pollicott} and \textit{P. Vytnova}, Trans. Am. Math. Soc., Ser. B 9, 1102--1159 (2022; Zbl 07638529) Full Text: DOI arXiv OpenURL
Moroz, M. P. Gauss-Kuzmin problem for the difference Engel-series representation of real numbers. (English. Ukrainian original) Zbl 07637750 Ukr. Math. J. 74, No. 7, 1149-1154 (2022); translation from Ukr. Mat. Zh. 74, No. 7, 1004-1008 (2022). Reviewer: Manuel Hauke (Graz) MSC: 11K55 11J70 11K50 PDF BibTeX XML Cite \textit{M. P. Moroz}, Ukr. Math. J. 74, No. 7, 1149--1154 (2022; Zbl 07637750); translation from Ukr. Mat. Zh. 74, No. 7, 1004--1008 (2022) Full Text: DOI OpenURL
Arauza Rivera, Andrea; Lin, Edwin Bounds on the Hausdorff measure of level-\(N\) Sierpinski gaskets. (English) Zbl 1508.11081 Involve 15, No. 3, 379-391 (2022). Reviewer: Jörg Neunhäuserer (Goslar) MSC: 11K55 28A78 28A80 37F35 PDF BibTeX XML Cite \textit{A. Arauza Rivera} and \textit{E. Lin}, Involve 15, No. 3, 379--391 (2022; Zbl 1508.11081) Full Text: DOI OpenURL
Alberts, Tom; Normand, Raoul Dimension results for the spectral measure of the circular \(\beta\) ensembles. (English) Zbl 1504.15111 Ann. Appl. Probab. 32, No. 6, 4642-4680 (2022). MSC: 15B52 60B20 60F10 PDF BibTeX XML Cite \textit{T. Alberts} and \textit{R. Normand}, Ann. Appl. Probab. 32, No. 6, 4642--4680 (2022; Zbl 1504.15111) Full Text: DOI arXiv OpenURL
Harris, Terence L. J. Improved bounds for restricted projection families via weighted Fourier restriction. (English) Zbl 1504.42025 Anal. PDE 15, No. 7, 1655-1701 (2022). MSC: 42B10 28E99 28A78 PDF BibTeX XML Cite \textit{T. L. J. Harris}, Anal. PDE 15, No. 7, 1655--1701 (2022; Zbl 1504.42025) Full Text: DOI arXiv OpenURL
Golse, François; Gualdani, Maria Pia; Imbert, Cyril; Vasseur, Alexis Partial regularity in time for the space-homogeneous Landau equation with Coulomb potential. (English. French summary) Zbl 1503.35123 Ann. Sci. Éc. Norm. Supér. (4) 55, No. 6, 1575-1611 (2022). MSC: 35Q20 35B44 35B65 35K55 35K61 35D30 35R09 45K05 PDF BibTeX XML Cite \textit{F. Golse} et al., Ann. Sci. Éc. Norm. Supér. (4) 55, No. 6, 1575--1611 (2022; Zbl 1503.35123) Full Text: DOI arXiv OpenURL
Chandra, Subhash; Abbas, Syed On fractal dimensions of fractal functions using function spaces. (English) Zbl 07626923 Bull. Aust. Math. Soc. 106, No. 3, 470-480 (2022). MSC: 28A80 33C47 41A30 PDF BibTeX XML Cite \textit{S. Chandra} and \textit{S. Abbas}, Bull. Aust. Math. Soc. 106, No. 3, 470--480 (2022; Zbl 07626923) Full Text: DOI OpenURL
Serbenyuk, Symon Some fractal properties of sets having the Moran structure. (English) Zbl 07625849 Tatra Mt. Math. Publ. 81, 1-38 (2022). MSC: 28A80 11K55 26A09 PDF BibTeX XML Cite \textit{S. Serbenyuk}, Tatra Mt. Math. Publ. 81, 1--38 (2022; Zbl 07625849) Full Text: DOI OpenURL
Feng, De-Jun; Simon, Károly Dimension estimates for \(C^1\) iterated function systems and repellers. II. (English) Zbl 07624340 Ergodic Theory Dyn. Syst. 42, No. 11, 3357-3392 (2022). MSC: 28A80 37C45 PDF BibTeX XML Cite \textit{D.-J. Feng} and \textit{K. Simon}, Ergodic Theory Dyn. Syst. 42, No. 11, 3357--3392 (2022; Zbl 07624340) Full Text: DOI arXiv OpenURL
Bortolotti, Ricardo; Ferreira da Silva, Eberson Dimension of a class of intrinsically transversal solenoidal attractors in high dimensions. (English) Zbl 07622858 Qual. Theory Dyn. Syst. 21, No. 4, Paper No. 156, 29 p. (2022). Reviewer: Grzegorz Świątek (Warszawa) MSC: 37D05 37C45 37C40 37C70 37D20 28A78 PDF BibTeX XML Cite \textit{R. Bortolotti} and \textit{E. Ferreira da Silva}, Qual. Theory Dyn. Syst. 21, No. 4, Paper No. 156, 29 p. (2022; Zbl 07622858) Full Text: DOI arXiv OpenURL
Burrell, Stuart A. Dimensions of fractional Brownian images. (English) Zbl 07621010 J. Theor. Probab. 35, No. 4, 2217-2238 (2022). MSC: 28A80 60G22 60G15 PDF BibTeX XML Cite \textit{S. A. Burrell}, J. Theor. Probab. 35, No. 4, 2217--2238 (2022; Zbl 07621010) Full Text: DOI arXiv OpenURL
Huang, Lingling; Ma, Chao A dimensional result on the product of consecutive partial quotients in continued fractions. (English) Zbl 1507.11068 J. Aust. Math. Soc. 113, No. 3, 357-385 (2022). Reviewer: Manuel Hauke (Graz) MSC: 11K50 11J70 28A80 PDF BibTeX XML Cite \textit{L. Huang} and \textit{C. Ma}, J. Aust. Math. Soc. 113, No. 3, 357--385 (2022; Zbl 1507.11068) Full Text: DOI OpenURL
Bergweiler, Walter; Cui, Weiwei The Hausdorff dimension of Julia sets of meromorphic functions in the Speiser class. (English) Zbl 07619446 Math. Z. 302, No. 4, 2193-2205 (2022). Reviewer: Patricia Dominguez (Puebla) MSC: 37F10 37F35 30D05 PDF BibTeX XML Cite \textit{W. Bergweiler} and \textit{W. Cui}, Math. Z. 302, No. 4, 2193--2205 (2022; Zbl 07619446) Full Text: DOI arXiv OpenURL
Li, Yao-Qiang Hausdorff dimension of frequency sets in beta-expansions. (English) Zbl 1507.11069 Math. Z. 302, No. 4, 2059-2076 (2022). Reviewer: Simon Kristensen (Aarhus) MSC: 11K55 28A80 PDF BibTeX XML Cite \textit{Y.-Q. Li}, Math. Z. 302, No. 4, 2059--2076 (2022; Zbl 1507.11069) Full Text: DOI arXiv OpenURL
Bayart, Frederic; Costa, Fernando; Menet, Quentin Common hypercyclic vectors and dimension of the parameter set. (English) Zbl 07619435 Indiana Univ. Math. J. 71, No. 4, 1763-1795 (2022). MSC: 47A16 PDF BibTeX XML Cite \textit{F. Bayart} et al., Indiana Univ. Math. J. 71, No. 4, 1763--1795 (2022; Zbl 07619435) Full Text: DOI arXiv OpenURL
Vardakis, D.; Volberg, A. Geometry of planar curves intersecting many lines at a few points. (English) Zbl 07618899 St. Petersbg. Math. J. 33, No. 6, 1047-1062 (2022) and Algebra Anal. 33, No. 6, 214-234 (2021). MSC: 28B05 05C10 47A30 PDF BibTeX XML Cite \textit{D. Vardakis} and \textit{A. Volberg}, St. Petersbg. Math. J. 33, No. 6, 1047--1062 (2022; Zbl 07618899) Full Text: DOI arXiv OpenURL
Allaart, Pieter; Kong, Derong Density spectrum of Cantor measure. (English) Zbl 07614284 Nonlinearity 35, No. 12, 6453-6484 (2022). MSC: 28A80 28A78 37B10 26A30 PDF BibTeX XML Cite \textit{P. Allaart} and \textit{D. Kong}, Nonlinearity 35, No. 12, 6453--6484 (2022; Zbl 07614284) Full Text: DOI arXiv OpenURL
Marchese, L. On the measure of products from the middle-third Cantor set. (English) Zbl 07614051 Acta Math. Hung. 167, No. 2, 365-384 (2022). MSC: 28A80 11K55 PDF BibTeX XML Cite \textit{L. Marchese}, Acta Math. Hung. 167, No. 2, 365--384 (2022; Zbl 07614051) Full Text: DOI arXiv OpenURL
Liang, Y. S. Approximation with fractal functions by fractal dimension. (English) Zbl 07613766 Fractals 30, No. 7, Article ID 2250151, 12 p. (2022). MSC: 28-XX 26-XX PDF BibTeX XML Cite \textit{Y. S. Liang}, Fractals 30, No. 7, Article ID 2250151, 12 p. (2022; Zbl 07613766) Full Text: DOI OpenURL
Verma, S.; Sahu, A. Bounded variation on the Sierpiński gasket. (English) Zbl 07613762 Fractals 30, No. 7, Article ID 2250147, 12 p. (2022). MSC: 28-XX 26-XX PDF BibTeX XML Cite \textit{S. Verma} and \textit{A. Sahu}, Fractals 30, No. 7, Article ID 2250147, 12 p. (2022; Zbl 07613762) Full Text: DOI arXiv OpenURL
Arauza Rivera, Andrea; Lankford, Adam; McClinton, Matt; Torres, Sandra An IFS for the stretched level-\(n\) Sierpinski gasket. (English) Zbl 07613141 PUMP J. Undergrad. Res. 5, 105-121 (2022). MSC: 28A80 11K55 11S82 PDF BibTeX XML Cite \textit{A. Arauza Rivera} et al., PUMP J. Undergrad. Res. 5, 105--121 (2022; Zbl 07613141) Full Text: Link OpenURL
Dey, Subhadip; Kapovich, Michael Patterson-Sullivan theory for Anosov subgroups. (English) Zbl 07612777 Trans. Am. Math. Soc. 375, No. 12, 8687-8737 (2022). Reviewer: Enrico Jabara (Venezia) MSC: 20F65 22E40 53C35 PDF BibTeX XML Cite \textit{S. Dey} and \textit{M. Kapovich}, Trans. Am. Math. Soc. 375, No. 12, 8687--8737 (2022; Zbl 07612777) Full Text: DOI arXiv OpenURL
Qiang, Chenhui; Deng, Yong; Cheong, Kang Hao Information fractal dimension of mass function. (English) Zbl 07610614 Fractals 30, No. 6, Article ID 2250110, 12 p. (2022). MSC: 28A78 28A80 PDF BibTeX XML Cite \textit{C. Qiang} et al., Fractals 30, No. 6, Article ID 2250110, 12 p. (2022; Zbl 07610614) Full Text: DOI arXiv OpenURL
Matheus, Carlos; Moreira, Carlos Gustavo; Pollicott, Mark; Vytnova, Polina Hausdorff dimension of Gauss-Cantor sets and two applications to classical Lagrange and Markov spectra. (English) Zbl 1505.11105 Adv. Math. 409 B, Article ID 108693, 70 p. (2022). Reviewer: Manuel Hauke (Graz) MSC: 11K55 11J06 11A55 37D35 37M25 PDF BibTeX XML Cite \textit{C. Matheus} et al., Adv. Math. 409 B, Article ID 108693, 70 p. (2022; Zbl 1505.11105) Full Text: DOI arXiv OpenURL
Eichinger, Benjamin; Fillman, Jake; Gwaltney, Ethan; Lukić, Milivoje Limit-periodic Dirac operators with thin spectra. (English) Zbl 07605368 J. Funct. Anal. 283, No. 12, Article ID 109711, 35 p. (2022). MSC: 47Axx 35Qxx 47Bxx PDF BibTeX XML Cite \textit{B. Eichinger} et al., J. Funct. Anal. 283, No. 12, Article ID 109711, 35 p. (2022; Zbl 07605368) Full Text: DOI arXiv OpenURL
Björnberg, Jakob; Curien, Nicolas; Stefánsson, Sigurdur Örn Stable shredded spheres and causal random maps with large faces. (English) Zbl 1498.60128 Ann. Probab. 50, No. 5, 2056-2084 (2022). MSC: 60F17 60G51 05C80 PDF BibTeX XML Cite \textit{J. Björnberg} et al., Ann. Probab. 50, No. 5, 2056--2084 (2022; Zbl 1498.60128) Full Text: DOI arXiv OpenURL
McCann, Robert J.; Sämann, Clemens A Lorentzian analog for Hausdorff dimension and measure. (English) Zbl 1505.28008 Pure Appl. Anal. 4, No. 2, 367-400 (2022). Reviewer: Mihail Banaru (Smolensk) MSC: 28A75 53B30 53C23 53C50 53C80 PDF BibTeX XML Cite \textit{R. J. McCann} and \textit{C. Sämann}, Pure Appl. Anal. 4, No. 2, 367--400 (2022; Zbl 1505.28008) Full Text: DOI arXiv OpenURL
Chandra, Subhash; Abbas, Syed Analysis of fractal dimension of mixed Riemann-Liouville integral. (English) Zbl 07602903 Numer. Algorithms 91, No. 3, 1021-1046 (2022). Reviewer: Peter Massopust (München) MSC: 28A80 26A33 28A78 26A30 PDF BibTeX XML Cite \textit{S. Chandra} and \textit{S. Abbas}, Numer. Algorithms 91, No. 3, 1021--1046 (2022; Zbl 07602903) Full Text: DOI arXiv OpenURL
Mabrouk, Anouar Ben; Douzi, Zied; Selmi, Bilel The \(\phi\)-topological conformal dimension for the Sierpinski carpet. (English) Zbl 07601799 J. Dyn. Syst. Geom. Theor. 20, No. 1, 33-53 (2022). MSC: 28A80 28A20 28A75 28A78 49Q15 PDF BibTeX XML Cite \textit{A. B. Mabrouk} et al., J. Dyn. Syst. Geom. Theor. 20, No. 1, 33--53 (2022; Zbl 07601799) Full Text: DOI OpenURL
Buzzi, Jérôme; Crovisier, Sylvain; Sarig, Omri Continuity properties of Lyapunov exponents for surface diffeomorphisms. (English) Zbl 07601289 Invent. Math. 230, No. 2, 767-849 (2022). Reviewer: Ivan Podvigin (Novosibirsk) MSC: 37C40 37E30 37D30 37A35 37D35 PDF BibTeX XML Cite \textit{J. Buzzi} et al., Invent. Math. 230, No. 2, 767--849 (2022; Zbl 07601289) Full Text: DOI arXiv OpenURL
Li, Wenxia; Wang, Zhiqiang How inhomogeneous Cantor sets can pass a point. (English) Zbl 07600574 Math. Z. 302, No. 3, 1429-1449 (2022). MSC: 28A78 11A63 37B10 PDF BibTeX XML Cite \textit{W. Li} and \textit{Z. Wang}, Math. Z. 302, No. 3, 1429--1449 (2022; Zbl 07600574) Full Text: DOI OpenURL
Beresnevich, Victor; Nesharim, Erez; Yang, Lei Winning property of badly approximable points on curves. (English) Zbl 07600554 Duke Math. J. 171, No. 14, 2841-2880 (2022). Reviewer: István Gaál (Debrecen) MSC: 11J13 PDF BibTeX XML Cite \textit{V. Beresnevich} et al., Duke Math. J. 171, No. 14, 2841--2880 (2022; Zbl 07600554) Full Text: DOI arXiv OpenURL
Selmi, Bilel; Mabrouk, Anouar Ben On the mixed multifractal formalism for vector-valued measures. (English) Zbl 07600507 Proyecciones 41, No. 5, 1015-1032 (2022). MSC: 28A20 28A80 PDF BibTeX XML Cite \textit{B. Selmi} and \textit{A. B. Mabrouk}, Proyecciones 41, No. 5, 1015--1032 (2022; Zbl 07600507) Full Text: DOI OpenURL
Wang, Zijian; Zheng, Jiqiang An improvement of the pinned distance set problem in even dimensions. (English) Zbl 07600224 Colloq. Math. 170, No. 2, 171-191 (2022). MSC: 28A75 42B20 PDF BibTeX XML Cite \textit{Z. Wang} and \textit{J. Zheng}, Colloq. Math. 170, No. 2, 171--191 (2022; Zbl 07600224) Full Text: DOI OpenURL