Choi, Ginkyu; Jung, Soon-Mo; Nam, Doyun On a relationship between the Hausdorff measure and the density of the thinnest covering of \(\mathbb{R}^n\). (English) Zbl 07310681 J. Math. Anal. Appl. 494, No. 2, Article ID 124667, 12 p. (2021). MSC: 28A78 PDF BibTeX XML Cite \textit{G. Choi} et al., J. Math. Anal. Appl. 494, No. 2, Article ID 124667, 12 p. (2021; Zbl 07310681) Full Text: DOI
Deng, Qi-Rong; Chen, Jian-Bao Uniformity of spectral self-affine measures. (English) Zbl 07309934 Adv. Math. 380, Article ID 107568, 18 p. (2021). MSC: 42C05 42A65 28A78 28A80 PDF BibTeX XML Cite \textit{Q.-R. Deng} and \textit{J.-B. Chen}, Adv. Math. 380, Article ID 107568, 18 p. (2021; Zbl 07309934) Full Text: DOI
Baker, Simon; Farmer, Michael Quantitative recurrence properties for self-conformal sets. (English) Zbl 07308534 Proc. Am. Math. Soc. 149, No. 3, 1127-1138 (2021). MSC: 28A80 28D05 11K55 PDF BibTeX XML Cite \textit{S. Baker} and \textit{M. Farmer}, Proc. Am. Math. Soc. 149, No. 3, 1127--1138 (2021; Zbl 07308534) Full Text: DOI
Yang, Xiao-Jun Fractal vector analysis. A local fractional calculus point of view (to appear). (English) Zbl 07308096 Amsterdam: Elsevier/Academic Press (ISBN 978-0-323-85238-8/pbk). 300 p. (2021). MSC: 26-01 28-01 28A78 PDF BibTeX XML Cite \textit{X.-J. Yang}, Fractal vector analysis. A local fractional calculus point of view (to appear). Amsterdam: Elsevier/Academic Press (2021; Zbl 07308096)
Li, Hong-Guang; Dong, Xin-Han; Zhang, Peng-Fei Estimates for Taylor coefficients of Cauchy transforms of some Hausdorff measures. II. (English) Zbl 07306982 J. Funct. Anal. 280, No. 7, Article ID 108654, 30 p. (2021). MSC: 30E20 28A80 PDF BibTeX XML Cite \textit{H.-G. Li} et al., J. Funct. Anal. 280, No. 7, Article ID 108654, 30 p. (2021; Zbl 07306982) Full Text: DOI
Li, Hong-Ping; Dong, Xin-Han; Zhang, Peng-Fei; Wu, Hai-Hua Estimates for Taylor coefficients of Cauchy transforms of some Hausdorff measures. I. (English) Zbl 07306981 J. Funct. Anal. 280, No. 7, Article ID 108653, 33 p. (2021). MSC: 30E20 28A80 PDF BibTeX XML Cite \textit{H.-P. Li} et al., J. Funct. Anal. 280, No. 7, Article ID 108653, 33 p. (2021; Zbl 07306981) Full Text: DOI
Schweiger, Fritz Invariant measures for \(2\)-dimensional maps and associated Rényi maps. (English) Zbl 07306667 Integers 21, Paper A14, 16 p. (2021). MSC: 11K55 11J70 11K16 PDF BibTeX XML Cite \textit{F. Schweiger}, Integers 21, Paper A14, 16 p. (2021; Zbl 07306667) Full Text: Link
Carozza, Menita; Cianchi, Andrea Continuity properties of weakly monotone Orlicz-Sobolev functions. (English) Zbl 07306553 Adv. Calc. Var. 14, No. 1, 107-126 (2021). MSC: 46E35 46E30 74B20 PDF BibTeX XML Cite \textit{M. Carozza} and \textit{A. Cianchi}, Adv. Calc. Var. 14, No. 1, 107--126 (2021; Zbl 07306553) Full Text: DOI
Ni, Wenqing; Chen, Zhenlong Hausdorff measure of the range of space-time anisotropic Gaussian random fields. (English) Zbl 07306262 J. Theor. Probab. 34, No. 1, 264-282 (2021). MSC: 60G15 60G17 60G60 PDF BibTeX XML Cite \textit{W. Ni} and \textit{Z. Chen}, J. Theor. Probab. 34, No. 1, 264--282 (2021; Zbl 07306262) Full Text: DOI
Attia, Najmeddine On the multifractal analysis of branching random walk on Galton-Watson tree with random metric. (English) Zbl 07306253 J. Theor. Probab. 34, No. 1, 90-102 (2021). MSC: 60G50 11K55 PDF BibTeX XML Cite \textit{N. Attia}, J. Theor. Probab. 34, No. 1, 90--102 (2021; Zbl 07306253) Full Text: DOI
Dajani, Karma; Jiang, Kan; Kong, Derong; Li, Wenxia; Xi, Lifeng Multiple codings of self-similar sets with overlaps. (English) Zbl 07304635 Adv. Appl. Math. 124, Article ID 102146, 50 p. (2021). MSC: 11A63 37B10 28A78 11K55 PDF BibTeX XML Cite \textit{K. Dajani} et al., Adv. Appl. Math. 124, Article ID 102146, 50 p. (2021; Zbl 07304635) Full Text: DOI
Greenleaf, Allan; Iosevich, Alex; Mkrtchyan, Sevak Existence of similar point configurations in thin subsets of \(\mathbb{R}^d\). (English) Zbl 07303596 Math. Z. 297, No. 1-2, 855-865 (2021). MSC: 52C10 05D05 28A75 42B10 53C10 PDF BibTeX XML Cite \textit{A. Greenleaf} et al., Math. Z. 297, No. 1--2, 855--865 (2021; Zbl 07303596) Full Text: DOI
Aubry, Erwann; Grosjean, Jean-François On the boundary of almost isoperimetric domains. (English) Zbl 07303577 Math. Z. 297, No. 1-2, 399-427 (2021). MSC: 53A07 53C21 49J10 49Q20 49J45 PDF BibTeX XML Cite \textit{E. Aubry} and \textit{J.-F. Grosjean}, Math. Z. 297, No. 1--2, 399--427 (2021; Zbl 07303577) Full Text: DOI
Schultz, Timo On one-dimensionality of metric measure spaces. (English) Zbl 07301344 Proc. Am. Math. Soc. 149, No. 1, 383-396 (2021). MSC: 53C23 PDF BibTeX XML Cite \textit{T. Schultz}, Proc. Am. Math. Soc. 149, No. 1, 383--396 (2021; Zbl 07301344) Full Text: DOI
Schweiger, Fritz Invariant densities for composed piecewise fractional linear maps. (English) Zbl 07300280 Monatsh. Math. 194, No. 1, 181-192 (2021). MSC: 11K55 28D05 37A05 PDF BibTeX XML Cite \textit{F. Schweiger}, Monatsh. Math. 194, No. 1, 181--192 (2021; Zbl 07300280) Full Text: DOI
Frolkina, Olga A new simple family of Cantor sets in \(\mathbb{R}^3\) all of whose projections are one-dimensional. (English) Zbl 07298373 Topology Appl. 288, Article ID 107452, 12 p. (2021). MSC: 54F45 57N12 28A80 PDF BibTeX XML Cite \textit{O. Frolkina}, Topology Appl. 288, Article ID 107452, 12 p. (2021; Zbl 07298373) Full Text: DOI
Shang, Lei; Wu, Min On the growth speed of digits in Engel expansions. (English) Zbl 07276965 J. Number Theory 219, 368-385 (2021). Reviewer: Symon Serbenyuk (Kyïv) MSC: 11K55 28A80 PDF BibTeX XML Cite \textit{L. Shang} and \textit{M. Wu}, J. Number Theory 219, 368--385 (2021; Zbl 07276965) Full Text: DOI
Doležalová, Anna; Hrubešová, Marika; Roskovec, Tomáš Hausdorff measure of critical set for Luzin \(N\) condition. (English) Zbl 07267856 J. Math. Anal. Appl. 493, No. 2, Article ID 124528, 14 p. (2021). MSC: 46E35 26 37 PDF BibTeX XML Cite \textit{A. Doležalová} et al., J. Math. Anal. Appl. 493, No. 2, Article ID 124528, 14 p. (2021; Zbl 07267856) Full Text: DOI
Wang, Zhiqiang; Jiang, Kan; Li, Wenxia; Zhao, Bing On the sum of squares of the middle-third Cantor set. (English) Zbl 1450.28011 J. Number Theory 218, 209-222 (2021). Reviewer: Peter Massopust (München) MSC: 28A80 11K55 PDF BibTeX XML Cite \textit{Z. Wang} et al., J. Number Theory 218, 209--222 (2021; Zbl 1450.28011) Full Text: DOI
Baliarsingh, P.; Kadak, Ugur On matrix transformations and Hausdorff measure of noncompactness of Euler difference sequence spaces of fractional order. (English) Zbl 07311143 Quaest. Math. 43, No. 11, 1645-1661 (2020). MSC: 46A45 46A35 46B45 PDF BibTeX XML Cite \textit{P. Baliarsingh} and \textit{U. Kadak}, Quaest. Math. 43, No. 11, 1645--1661 (2020; Zbl 07311143) Full Text: DOI
Samti, Amal Multifractal formalism of an inhomogeneous multinomial measure with various parameters. (English) Zbl 07309333 Extr. Math. 35, No. 2, 229-252 (2020). MSC: 28A80 28A78 28A12 11K55 PDF BibTeX XML Cite \textit{A. Samti}, Extr. Math. 35, No. 2, 229--252 (2020; Zbl 07309333) Full Text: DOI
Li, Y.-Q. Digit frequencies of beta-expansions. (English) Zbl 07301192 Acta Math. Hung. 162, No. 2, 403-418 (2020). MSC: 11A63 11K55 PDF BibTeX XML Cite \textit{Y. Q. Li}, Acta Math. Hung. 162, No. 2, 403--418 (2020; Zbl 07301192) Full Text: DOI
Wang, Cong; Wu, Zhi-Yi On spectral eigenvalue problem of a class of self-similar spectral measures with consecutive digits. (English) Zbl 07296361 J. Fourier Anal. Appl. 26, No. 6, Paper No. 82, 17 p. (2020). MSC: 42C05 42A65 42A85 28A78 28A80 42B05 60A10 PDF BibTeX XML Cite \textit{C. Wang} and \textit{Z.-Y. Wu}, J. Fourier Anal. Appl. 26, No. 6, Paper No. 82, 17 p. (2020; Zbl 07296361) Full Text: DOI
Stern, Daniel \(p\)-harmonic maps to \(S^1\) and stationary varifolds of codimension two. (English) Zbl 07294608 Calc. Var. Partial Differ. Equ. 59, No. 6, Paper No. 187, 46 p. (2020). MSC: 53C43 58E20 PDF BibTeX XML Cite \textit{D. Stern}, Calc. Var. Partial Differ. Equ. 59, No. 6, Paper No. 187, 46 p. (2020; Zbl 07294608) Full Text: DOI
Serbenyuk, S. O. One distribution function on the Moran sets. (English) Zbl 07293029 Azerb. J. Math. 10, No. 2, 12-30 (2020). MSC: 11K55 05D99 11J72 28A80 26A09 PDF BibTeX XML Cite \textit{S. O. Serbenyuk}, Azerb. J. Math. 10, No. 2, 12--30 (2020; Zbl 07293029) Full Text: Link
Falk, Kurt; Matsuzaki, Katsuhiko On horospheric limit sets of Kleinian groups. (English) Zbl 07290137 J. Fractal Geom. 7, No. 4, 329-350 (2020). MSC: 30F40 37F35 PDF BibTeX XML Cite \textit{K. Falk} and \textit{K. Matsuzaki}, J. Fractal Geom. 7, No. 4, 329--350 (2020; Zbl 07290137) Full Text: DOI
Farhadi, Fariba Zeinal Zadeh; Asgari, Mohammad Sadegh; Mardanbeigi, Mohammad Reza Frame measures for infinitely many measures. (English) Zbl 07283469 Note Mat. 40, No. 1, 115-128 (2020). MSC: 28A80 28A78 42B05 PDF BibTeX XML Cite \textit{F. Z. Z. Farhadi} et al., Note Mat. 40, No. 1, 115--128 (2020; Zbl 07283469) Full Text: DOI
Selmi, Bilel Appendix to the paper “On the Billingsley dimension of Birkhoff average in the countable symbolic space”. (English) Zbl 07283174 C. R., Math., Acad. Sci. Paris 358, No. 8, 939 (2020). MSC: 37A30 28A80 37A05 37A35 37B10 37C45 PDF BibTeX XML Cite \textit{B. Selmi}, C. R., Math., Acad. Sci. Paris 358, No. 8, 939 (2020; Zbl 07283174) Full Text: DOI
Duvall, Jason Schmidt’s game and nonuniformly expanding interval maps. (English) Zbl 07278285 Nonlinearity 33, No. 11, 5611-5628 (2020). MSC: 37E05 37D25 11K55 PDF BibTeX XML Cite \textit{J. Duvall}, Nonlinearity 33, No. 11, 5611--5628 (2020; Zbl 07278285) Full Text: DOI
Diop, Mamadou Abdoul; Ezzinbi, Khalil; Issaka, Louk-Man; Ramkumar, Kasinathan Stability for some impulsive neutral stochastic functional integro-differential equations driven by fractional Brownian motion. (English) Zbl 07273115 Cogent Math. Stat. 7, Article ID 1782120, 24 p. (2020). MSC: 45J 34K PDF BibTeX XML Cite \textit{M. A. Diop} et al., Cogent Math. Stat. 7, Article ID 1782120, 24 p. (2020; Zbl 07273115) Full Text: DOI
Yuan, Zhihui Multifractal formalism for the inverse of random weak Gibbs measures. (English) Zbl 07272804 Stoch. Dyn. 20, No. 4, Article ID 2050024, 45 p. (2020). MSC: 37D35 37C45 28A78 PDF BibTeX XML Cite \textit{Z. Yuan}, Stoch. Dyn. 20, No. 4, Article ID 2050024, 45 p. (2020; Zbl 07272804) Full Text: DOI
Moroz, M. P. Numerical characteristics of a random variable related to the Engel expansions of real numbers. (English. Ukrainian original) Zbl 1451.60020 Ukr. Math. J. 72, No. 5, 759-770 (2020); translation from Ukr. Mat. Zh. 72, No. 5, 658-666 (2020). MSC: 60B99 26A30 11K55 PDF BibTeX XML Cite \textit{M. P. Moroz}, Ukr. Math. J. 72, No. 5, 759--770 (2020; Zbl 1451.60020); translation from Ukr. Mat. Zh. 72, No. 5, 658--666 (2020) Full Text: DOI
Selmi, Bilel Some new characterizations of Olsen’s multifractal functions. (English) Zbl 1451.28008 Result. Math. 75, No. 4, Paper No. 147, 15 p. (2020). MSC: 28A80 28A20 28A75 28A78 49Q15 PDF BibTeX XML Cite \textit{B. Selmi}, Result. Math. 75, No. 4, Paper No. 147, 15 p. (2020; Zbl 1451.28008) Full Text: DOI
Bayart, Frédéric; Buczolich, Zoltán; Heurteaux, Yanick Fast and slow points of Birkhoff sums. (English) Zbl 07270088 Ergodic Theory Dyn. Syst. 40, No. 12, 3236-3256 (2020). Reviewer: George Stoica (Saint John) MSC: 37A30 11K55 28A78 60F15 PDF BibTeX XML Cite \textit{F. Bayart} et al., Ergodic Theory Dyn. Syst. 40, No. 12, 3236--3256 (2020; Zbl 07270088) Full Text: DOI
Azzam, Jonas; Tolsa, Xavier; Toro, Tatiana Characterization of rectifiable measures in terms of \(\alpha \)-numbers. (English) Zbl 07269829 Trans. Am. Math. Soc. 373, No. 11, 7991-8037 (2020). Reviewer: Tomasz Natkaniec (Gdańsk) MSC: 28A12 28A75 28A78 PDF BibTeX XML Cite \textit{J. Azzam} et al., Trans. Am. Math. Soc. 373, No. 11, 7991--8037 (2020; Zbl 07269829) Full Text: DOI
Lasserre, Jean B.; Magron, Victor Computing the Hausdorff boundary measure of semialgebraic sets. (English) Zbl 1451.14171 SIAM J. Appl. Algebra Geom. 4, No. 3, 441-469 (2020). Reviewer: Mihai Putinar (Santa Barbara) MSC: 14Q65 14P10 28A75 28A78 26B15 90C22 PDF BibTeX XML Cite \textit{J. B. Lasserre} and \textit{V. Magron}, SIAM J. Appl. Algebra Geom. 4, No. 3, 441--469 (2020; Zbl 1451.14171) Full Text: DOI
Attia, Najmeddine Hausdorff and packing dimensions of Mandelbrot measure. (English) Zbl 07268552 Int. J. Math. 31, No. 9, Article ID 2050068, 14 p. (2020). Reviewer: Symon Serbenyuk (Kyïv) MSC: 11K55 60G57 PDF BibTeX XML Cite \textit{N. Attia}, Int. J. Math. 31, No. 9, Article ID 2050068, 14 p. (2020; Zbl 07268552) Full Text: DOI
Pérez Pereira, Felipe Dimension of Gibbs measures with infinite entropy. (English) Zbl 07268475 Nonlinearity 33, No. 10, 5355-5382 (2020). Reviewer: Asgar Jamneshan (Istanbul) MSC: 37C45 37D35 37A35 37A40 37A05 PDF BibTeX XML Cite \textit{F. Pérez Pereira}, Nonlinearity 33, No. 10, 5355--5382 (2020; Zbl 07268475) Full Text: DOI
Tan, Xiaoyan; Zhang, Zhenliang The relative growth rate for the digits in Lüroth expansions. (English) Zbl 07267915 C. R., Math., Acad. Sci. Paris 358, No. 5, 557-562 (2020). MSC: 11K55 28A80 PDF BibTeX XML Cite \textit{X. Tan} and \textit{Z. Zhang}, C. R., Math., Acad. Sci. Paris 358, No. 5, 557--562 (2020; Zbl 07267915) Full Text: DOI
Shen, Luming; Lan, Sha; Li, Bixuan Some metric properties in \(\alpha \)-Lüroth expansions. (English) Zbl 07267280 Math. Appl. 33, No. 2, 534-538 (2020). MSC: 11K55 PDF BibTeX XML Cite \textit{L. Shen} et al., Math. Appl. 33, No. 2, 534--538 (2020; Zbl 07267280)
Qin, Ling Non-spectrality of some self-affine measures under the similarity in space. (Chinese. English summary) Zbl 07266989 J. Shandong Univ., Nat. Sci. 55, No. 2, 23-32 (2020). MSC: 28A78 28A80 PDF BibTeX XML Cite \textit{L. Qin}, J. Shandong Univ., Nat. Sci. 55, No. 2, 23--32 (2020; Zbl 07266989) Full Text: DOI
Liang, Longyue; Shi, Haihua The exact Hausdorff measure for the range of a symmetric Cauchy process in \(\mathbb{R}\). (Chinese. English summary) Zbl 07266440 Chin. J. Appl. Probab. Stat. 36, No. 1, 11-25 (2020). MSC: 28A78 PDF BibTeX XML Cite \textit{L. Liang} and \textit{H. Shi}, Chin. J. Appl. Probab. Stat. 36, No. 1, 11--25 (2020; Zbl 07266440) Full Text: DOI
Li, Jianli; Chen, Lizhen; Li, Gang The existence of solutions of fractional differential inclusions with integral boundary value conditions. (Chinese. English summary) Zbl 07266386 Adv. Math., Beijing 49, No. 2, 185-194 (2020). MSC: 34A08 34A60 PDF BibTeX XML Cite \textit{J. Li} et al., Adv. Math., Beijing 49, No. 2, 185--194 (2020; Zbl 07266386) Full Text: DOI
Zhang, Mengjie A remark on big Birkhoff sums in \(d\)-decaying Gauss like iterated function systems. (English) Zbl 07265011 J. Math. Anal. Appl. 491, No. 2, Article ID 124350, 10 p. (2020). MSC: 37A05 37E05 37A30 PDF BibTeX XML Cite \textit{M. Zhang}, J. Math. Anal. Appl. 491, No. 2, Article ID 124350, 10 p. (2020; Zbl 07265011) Full Text: DOI
Iglesias, José A.; Mercier, Gwenael Influence of dimension on the convergence of level-sets in total variation regularization. (English) Zbl 07262061 ESAIM, Control Optim. Calc. Var. 26, Paper No. 52, 27 p. (2020). MSC: 49N45 49Q20 65J20 65J22 53A10 46B20 PDF BibTeX XML Cite \textit{J. A. Iglesias} and \textit{G. Mercier}, ESAIM, Control Optim. Calc. Var. 26, Paper No. 52, 27 p. (2020; Zbl 07262061) Full Text: DOI
Pelekis, Christos; Vlasák, Václav On \(k\)-antichains in the unit \(n\)-cube. (English) Zbl 07254964 Publ. Math. 96, No. 3-4, 503-511 (2020). Reviewer: Hans Weber (Udine) MSC: 05D05 28A78 05C35 26A30 PDF BibTeX XML Cite \textit{C. Pelekis} and \textit{V. Vlasák}, Publ. Math. 96, No. 3--4, 503--511 (2020; Zbl 07254964) Full Text: DOI
Bahramian, Z.; Jabbari, A. On Lau-Loy’s decomposition of a measure algebra on CHART groups. (English) Zbl 07254862 Period. Math. Hung. 80, No. 2, 273-279 (2020). MSC: 46H20 43A20 PDF BibTeX XML Cite \textit{Z. Bahramian} and \textit{A. Jabbari}, Period. Math. Hung. 80, No. 2, 273--279 (2020; Zbl 07254862) Full Text: DOI
Lü, Meiying The growth rate of the digits in the Lüroth expansions. (English) Zbl 1441.11188 Fractals 28, No. 4, Article ID 2050064, 8 p. (2020). MSC: 11K55 PDF BibTeX XML Cite \textit{M. Lü}, Fractals 28, No. 4, Article ID 2050064, 8 p. (2020; Zbl 1441.11188) Full Text: DOI
Allen, Brian; Sormani, Christina Relating notions of convergence in geometric analysis. (English) Zbl 1448.53050 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 200, Article ID 111993, 32 p. (2020). MSC: 53C23 PDF BibTeX XML Cite \textit{B. Allen} and \textit{C. Sormani}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 200, Article ID 111993, 32 p. (2020; Zbl 1448.53050) Full Text: DOI
Antonelli, Gioacchino; Le Donne, Enrico Pauls rectifiable and purely Pauls unrectifiable smooth hypersurfaces. (English) Zbl 1448.53042 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 200, Article ID 111983, 29 p. (2020). Reviewer: Peibiao Zhao (Nanjing) MSC: 53C17 22E25 28A75 49Q15 PDF BibTeX XML Cite \textit{G. Antonelli} and \textit{E. Le Donne}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 200, Article ID 111983, 29 p. (2020; Zbl 1448.53042) Full Text: DOI
Huang, Lingling; Wu, Jun; Xu, Jian Metric properties of the product of consecutive partial quotients in continued fractions. (English) Zbl 1452.11095 Isr. J. Math. 238, No. 2, 901-943 (2020). Reviewer: Symon Serbenyuk (Kyïv) MSC: 11K50 11J70 11J83 PDF BibTeX XML Cite \textit{L. Huang} et al., Isr. J. Math. 238, No. 2, 901--943 (2020; Zbl 1452.11095) Full Text: DOI
Adams, Henry; Aminian, Manuchehr; Farnell, Elin; Kirby, Michael; Mirth, Joshua; Neville, Rachel; Peterson, Chris; Shonkwiler, Clayton A fractal dimension for measures via persistent homology. (English) Zbl 1448.62211 Baas, Nils (ed.) et al., Topological data analysis. Proceedings of the Abel symposium 2018, Geiranger, Norway, June 4–8, 2018. Cham: Springer. Abel Symp. 15, 1-31 (2020). MSC: 62R40 62R20 55N31 60B05 37F35 60F15 PDF BibTeX XML Cite \textit{H. Adams} et al., Abel Symp. 15, 1--31 (2020; Zbl 1448.62211) Full Text: DOI
Selmi, Bilel A note on the multifractal Hewitt-Stromberg measures in a probability space. (English) Zbl 1448.28006 Korean J. Math. 28, No. 2, 323-341 (2020). Reviewer: Peter Massopust (München) MSC: 28A78 28A80 PDF BibTeX XML Cite \textit{B. Selmi}, Korean J. Math. 28, No. 2, 323--341 (2020; Zbl 1448.28006) Full Text: DOI
Chung, Nhan-Phu Gromov-Hausdorff distances for dynamical systems. (English) Zbl 1451.37036 Discrete Contin. Dyn. Syst. 40, No. 11, 6179-6200 (2020). Reviewer: Marta Macho Stadler (Leioa) MSC: 37C85 37C40 37C75 PDF BibTeX XML Cite \textit{N.-P. Chung}, Discrete Contin. Dyn. Syst. 40, No. 11, 6179--6200 (2020; Zbl 1451.37036) Full Text: DOI
Azzam, Jonas Dimension drop for harmonic measure on Ahlfors regular boundaries. (English) Zbl 1452.31006 Potential Anal. 53, No. 3, 1025-1041 (2020). Reviewer: Marius Ghergu (Dublin) MSC: 31A15 28A75 28A78 31B05 35J25 PDF BibTeX XML Cite \textit{J. Azzam}, Potential Anal. 53, No. 3, 1025--1041 (2020; Zbl 1452.31006) Full Text: DOI
D’Aniello, Emma; Maiuriello, Martina On some generic small Cantor spaces. (English) Zbl 1446.28003 Z. Anal. Anwend. 39, No. 3, 277-288 (2020). MSC: 28A05 28A75 54E52 PDF BibTeX XML Cite \textit{E. D'Aniello} and \textit{M. Maiuriello}, Z. Anal. Anwend. 39, No. 3, 277--288 (2020; Zbl 1446.28003) Full Text: DOI
Zhu, Sanguo Asymptotic uniformity of the quantization error for the Ahlfors-David probability measures. (English) Zbl 1446.28006 Sci. China, Math. 63, No. 6, 1039-1056 (2020). MSC: 28A75 28A78 PDF BibTeX XML Cite \textit{S. Zhu}, Sci. China, Math. 63, No. 6, 1039--1056 (2020; Zbl 1446.28006) Full Text: DOI
Lü, Fan; Wu, Jun On dichotomy law for beta-dynamical system in parameter space. (English) Zbl 1452.11098 Math. Z. 296, No. 1-2, 661-683 (2020). Reviewer: Symon Serbenyuk (Kyïv) MSC: 11K55 28A80 68Q45 68Q99 11A63 PDF BibTeX XML Cite \textit{F. Lü} and \textit{J. Wu}, Math. Z. 296, No. 1--2, 661--683 (2020; Zbl 1452.11098) Full Text: DOI
Fang, Lulu; Wu, Min; Li, Bing Approximation orders of real numbers by \(\beta\)-expansions. (English) Zbl 1452.11097 Math. Z. 296, No. 1-2, 13-40 (2020). Reviewer: Symon Serbenyuk (Kyïv) MSC: 11K55 28A80 37B10 37E05 37A25 37A50 28D05 60G10 PDF BibTeX XML Cite \textit{L. Fang} et al., Math. Z. 296, No. 1--2, 13--40 (2020; Zbl 1452.11097) Full Text: DOI
Trujillo, Frank Hausdorff dimension of invariant measures of multicritical circle maps. (English) Zbl 1450.37036 Ann. Henri Poincaré 21, No. 9, 2861-2875 (2020). MSC: 37E10 37E45 37C25 37C45 PDF BibTeX XML Cite \textit{F. Trujillo}, Ann. Henri Poincaré 21, No. 9, 2861--2875 (2020; Zbl 1450.37036) Full Text: DOI
Bárány, Balázs; Rams, Michal; Simon, Károly Dimension of the repeller for a piecewise expanding affine map. (English) Zbl 1450.28006 Ann. Acad. Sci. Fenn., Math. 45, No. 2, 1135-1169 (2020). Reviewer: Ivan Podvigin (Novosibirsk) MSC: 28A80 28A78 PDF BibTeX XML Cite \textit{B. Bárány} et al., Ann. Acad. Sci. Fenn., Math. 45, No. 2, 1135--1169 (2020; Zbl 1450.28006) Full Text: DOI
Ghinassi, Silvia Sufficient conditions for \(C^{1, \alpha}\) parametrization and rectifiability. (English) Zbl 1447.28002 Ann. Acad. Sci. Fenn., Math. 45, No. 2, 1065-1094 (2020). Reviewer: Ivan Podvigin (Novosibirsk) MSC: 28A75 26A16 28A12 28A78 42B99 PDF BibTeX XML Cite \textit{S. Ghinassi}, Ann. Acad. Sci. Fenn., Math. 45, No. 2, 1065--1094 (2020; Zbl 1447.28002) Full Text: DOI
Song, Teng; Zhou, Qinglong On the longest block function in continued fractions. (English) Zbl 07240607 Bull. Aust. Math. Soc. 102, No. 2, 196-206 (2020). MSC: 11K55 11J83 28A80 PDF BibTeX XML Cite \textit{T. Song} and \textit{Q. Zhou}, Bull. Aust. Math. Soc. 102, No. 2, 196--206 (2020; Zbl 07240607) Full Text: DOI
Wang, Weiliang; Li, Lu Simultaneous dynamical Diophantine approximation in beta expansions. (English) Zbl 07240606 Bull. Aust. Math. Soc. 102, No. 2, 186-195 (2020). MSC: 11K55 28A80 PDF BibTeX XML Cite \textit{W. Wang} and \textit{L. Li}, Bull. Aust. Math. Soc. 102, No. 2, 186--195 (2020; Zbl 07240606) Full Text: DOI
Li, Nan; Perales, Raquel The Sormani-Wenger intrinsic flat convergence of Alexandrov spaces. (English) Zbl 1446.49030 J. Topol. Anal. 12, No. 3, 819-839 (2020). MSC: 49Q15 53C23 53C65 PDF BibTeX XML Cite \textit{N. Li} and \textit{R. Perales}, J. Topol. Anal. 12, No. 3, 819--839 (2020; Zbl 1446.49030) Full Text: DOI
Perales, Raquel Convergence of manifolds and metric spaces with boundary. (English) Zbl 1450.53067 J. Topol. Anal. 12, No. 3, 735-774 (2020). Reviewer: Bożena Piątek (Gliwice) MSC: 53C65 53C23 49Q15 PDF BibTeX XML Cite \textit{R. Perales}, J. Topol. Anal. 12, No. 3, 735--774 (2020; Zbl 1450.53067) Full Text: DOI
David, Guy C.; Le Donne, Enrico A note on topological dimension, Hausdorff measure, and rectifiability. (English) Zbl 1447.28001 Proc. Am. Math. Soc. 148, No. 10, 4299-4304 (2020). Reviewer: Peter Massopust (München) MSC: 28A75 28A78 30L99 PDF BibTeX XML Cite \textit{G. C. David} and \textit{E. Le Donne}, Proc. Am. Math. Soc. 148, No. 10, 4299--4304 (2020; Zbl 1447.28001) Full Text: DOI
Das, Anupam; Hazarika, Bipan; Mursaleen, M.; Kumam, Poom Existence of solution of infinite systems of inhomogeneous wave equations using Hausdorff measure of noncompactness. (English) Zbl 1445.35235 Adv. Oper. Theory 5, No. 4, 1315-1324 (2020). MSC: 35L15 35R20 46B45 47H10 PDF BibTeX XML Cite \textit{A. Das} et al., Adv. Oper. Theory 5, No. 4, 1315--1324 (2020; Zbl 1445.35235) Full Text: DOI
Huang, Jing-Jing Diophantine approximation on the parabola with non-monotonic approximation functions. (English) Zbl 1450.11082 Math. Proc. Camb. Philos. Soc. 168, No. 3, 535-542 (2020). Reviewer: Symon Serbenyuk (Kyïv) MSC: 11J83 11J13 PDF BibTeX XML Cite \textit{J.-J. Huang}, Math. Proc. Camb. Philos. Soc. 168, No. 3, 535--542 (2020; Zbl 1450.11082) Full Text: DOI
Shmerkin, Pablo; Suomala, Ville Patterns in random fractals. (English) Zbl 1445.05108 Am. J. Math. 142, No. 3, 683-749 (2020). Reviewer: George Stoica (Saint John) MSC: 05D40 28A75 60C05 05C55 28A78 28A80 60D05 PDF BibTeX XML Cite \textit{P. Shmerkin} and \textit{V. Suomala}, Am. J. Math. 142, No. 3, 683--749 (2020; Zbl 1445.05108) Full Text: DOI
Zheng, Lixuan; Wu, Min Uniform recurrence properties for beta-transformation. (English) Zbl 07228300 Nonlinearity 33, No. 9, 4590-4612 (2020). MSC: 11A63 11K55 28A80 PDF BibTeX XML Cite \textit{L. Zheng} and \textit{M. Wu}, Nonlinearity 33, No. 9, 4590--4612 (2020; Zbl 07228300) Full Text: DOI
Kalle, Charlene; Kong, Derong; Langeveld, Niels; Li, Wenxia The \(\beta\)-transformation with a hole at 0. (English) Zbl 1448.11153 Ergodic Theory Dyn. Syst. 40, No. 9, 2482-2514 (2020). Reviewer: Symon Serbenyuk (Kyïv) MSC: 11K55 26A30 37B10 37E05 37E15 11A63 68R15 28D05 PDF BibTeX XML Cite \textit{C. Kalle} et al., Ergodic Theory Dyn. Syst. 40, No. 9, 2482--2514 (2020; Zbl 1448.11153) Full Text: DOI
Kainen, Paul C.; Kůrková, Věra; Vogt, Andrew Approximative compactness of linear combinations of characteristic functions. (English) Zbl 1445.41020 J. Approx. Theory 257, Article ID 105435, 16 p. (2020). Reviewer: T.S.S.R.K. Rao (Bangalore) MSC: 41A65 28A20 41A45 52A37 68T05 92B20 PDF BibTeX XML Cite \textit{P. C. Kainen} et al., J. Approx. Theory 257, Article ID 105435, 16 p. (2020; Zbl 1445.41020) Full Text: DOI
Protasov, Vladimir Yu. Surface dimension, tiles, and synchronizing automata. (English) Zbl 1444.42036 SIAM J. Math. Anal. 52, No. 4, 3463-3486 (2020). MSC: 42C40 28A75 39A99 11K55 68Q45 PDF BibTeX XML Cite \textit{V. Yu. Protasov}, SIAM J. Math. Anal. 52, No. 4, 3463--3486 (2020; Zbl 1444.42036) Full Text: DOI
Chousionis, Vasilis; Tyson, Jeremy; Urbański, Mariusz Conformal graph directed Markov systems on Carnot groups. (English) Zbl 07224318 Memoirs of the American Mathematical Society 1291. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-4215-6/pbk; 978-1-4704-6245-1/ebook). viii, 155 p. (2020). MSC: 37-02 37E05 37E25 37B10 37C30 37D35 37D40 37C35 28A78 PDF BibTeX XML Cite \textit{V. Chousionis} et al., Conformal graph directed Markov systems on Carnot groups. Providence, RI: American Mathematical Society (AMS) (2020; Zbl 07224318) Full Text: DOI
Fässler, Katrin; Orponen, Tuomas; Rigot, Séverine Semmes surfaces and intrinsic Lipschitz graphs in the Heisenberg group. (English) Zbl 1446.28005 Trans. Am. Math. Soc. 373, No. 8, 5957-5996 (2020). Reviewer: Enrico Zoli (Faenza) MSC: 28A75 28A78 PDF BibTeX XML Cite \textit{K. Fässler} et al., Trans. Am. Math. Soc. 373, No. 8, 5957--5996 (2020; Zbl 1446.28005) Full Text: DOI
Pezzoni, Alessandro A Jarník-type theorem for a problem of approximation by cubic polynomials. (English) Zbl 1448.11144 Acta Arith. 193, No. 3, 269-281 (2020). Reviewer: Symon Serbenyuk (Kyïv) MSC: 11J83 28A78 PDF BibTeX XML Cite \textit{A. Pezzoni}, Acta Arith. 193, No. 3, 269--281 (2020; Zbl 1448.11144) Full Text: DOI
Khalil, Osama Singular vectors on fractals and projections of self-similar measures. (English) Zbl 1448.11127 Geom. Funct. Anal. 30, No. 2, 482-535 (2020). Reviewer: Symon Serbenyuk (Kyïv) MSC: 11J13 11J83 28A80 37A17 32G15 37A10 30F60 PDF BibTeX XML Cite \textit{O. Khalil}, Geom. Funct. Anal. 30, No. 2, 482--535 (2020; Zbl 1448.11127) Full Text: DOI
Jenkinson, Oliver; Pollicott, Mark Rigorous dimension estimates for Cantor sets arising in Zaremba theory. (English) Zbl 1447.11087 Moree, Pieter (ed.) et al., Dynamics: topology and numbers. Conference, Max Planck Institute for Mathematics, Bonn, Germany, July 2–6, 2018. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 744, 83-107 (2020). Reviewer: Symon Serbenyuk (Kyiv) MSC: 11K55 37C30 37F35 11A55 PDF BibTeX XML Cite \textit{O. Jenkinson} and \textit{M. Pollicott}, Contemp. Math. 744, 83--107 (2020; Zbl 1447.11087) Full Text: DOI
Pratsiovytyi, Mykola; Makarchuk, Oleg; Karvatsky, Dmytro Lebesgue structure of asymmetric Bernoulli convolution based on Jacobsthal-Lucas sequence. (English) Zbl 1447.60074 Random Oper. Stoch. Equ. 28, No. 2, 123-130 (2020). MSC: 60G50 11K55 PDF BibTeX XML Cite \textit{M. Pratsiovytyi} et al., Random Oper. Stoch. Equ. 28, No. 2, 123--130 (2020; Zbl 1447.60074) Full Text: DOI
Villa, Michele Tangent points of lower content \(D\)-regular sets and \(\beta\) numbers. (English) Zbl 1443.28002 J. Lond. Math. Soc., II. Ser. 101, No. 2, 530-555 (2020). Reviewer: Peter Massopust (München) MSC: 28A75 28A12 28A78 PDF BibTeX XML Cite \textit{M. Villa}, J. Lond. Math. Soc., II. Ser. 101, No. 2, 530--555 (2020; Zbl 1443.28002) Full Text: DOI
Wardowski, Dariusz Family of mappings with an equicontractive-type condition. (English) Zbl 07212252 J. Fixed Point Theory Appl. 22, No. 3, Paper No. 55, 9 p. (2020). MSC: 47H10 47H08 47N20 PDF BibTeX XML Cite \textit{D. Wardowski}, J. Fixed Point Theory Appl. 22, No. 3, Paper No. 55, 9 p. (2020; Zbl 07212252) Full Text: DOI
Okamura, Kazuki Hausdorff dimensions for graph-directed measures driven by infinite rooted trees. (English) Zbl 1441.28005 Real Anal. Exch. 45, No. 1, 29-72 (2020). Reviewer: George Stoica (Saint John) MSC: 28A78 26A27 26A30 28A80 60G30 PDF BibTeX XML Cite \textit{K. Okamura}, Real Anal. Exch. 45, No. 1, 29--72 (2020; Zbl 1441.28005) Full Text: DOI Euclid
Baker, Simon Digit frequencies and self-affine sets with non-empty interior. (English) Zbl 07210453 Ergodic Theory Dyn. Syst. 40, No. 7, 1755-1787 (2020). MSC: 11A63 28A80 11K55 PDF BibTeX XML Cite \textit{S. Baker}, Ergodic Theory Dyn. Syst. 40, No. 7, 1755--1787 (2020; Zbl 07210453) Full Text: DOI
Janzer, Barnabás A note on antichains in the continuous cube. (English) Zbl 1441.05216 Mathematika 66, No. 2, 514-516 (2020). MSC: 05D05 28A75 49Q15 PDF BibTeX XML Cite \textit{B. Janzer}, Mathematika 66, No. 2, 514--516 (2020; Zbl 1441.05216) Full Text: DOI
Jiang, Xiaofang; Liu, Qinghui; Wang, Guizhen; Wen, Zhiying Hausdorff measures of a class of Moran sets. (English) Zbl 1434.28006 Fractals 28, No. 3, Article ID 2050053, 12 p. (2020). MSC: 28A78 PDF BibTeX XML Cite \textit{X. Jiang} et al., Fractals 28, No. 3, Article ID 2050053, 12 p. (2020; Zbl 1434.28006) Full Text: DOI
Tian, Zhigang; Wu, Min; Lou, Man-Li Finite pattern problems related to Lüroth expansion. (English) Zbl 1434.11156 Fractals 28, No. 3, Article ID 2050048, 6 p. (2020). MSC: 11K55 PDF BibTeX XML Cite \textit{Z. Tian} et al., Fractals 28, No. 3, Article ID 2050048, 6 p. (2020; Zbl 1434.11156) Full Text: DOI
Shang, Lei; Wu, Min Slow growth rate of the digits in Engel expansions. (English) Zbl 1434.11155 Fractals 28, No. 3, Article ID 2050047, 12 p. (2020). MSC: 11K55 28A80 PDF BibTeX XML Cite \textit{L. Shang} and \textit{M. Wu}, Fractals 28, No. 3, Article ID 2050047, 12 p. (2020; Zbl 1434.11155) Full Text: DOI
Zhu, Sanguo; Zou, Shu Asymptotic order of the geometric mean error for self-affine measures on Bedford-McMullen carpets. (English) Zbl 1434.28010 Fractals 28, No. 3, Article ID 2050036, 14 p. (2020). MSC: 28A78 PDF BibTeX XML Cite \textit{S. Zhu} and \textit{S. Zou}, Fractals 28, No. 3, Article ID 2050036, 14 p. (2020; Zbl 1434.28010) Full Text: DOI
Baxa, C. Book review of: M. Kesseböhmer et al., Infinite ergodic theory of numbers. (English) Zbl 1435.00013 Monatsh. Math. 192, No. 2, 479 (2020). MSC: 00A17 37-02 11-02 37A44 11J70 11K50 11K55 PDF BibTeX XML Cite \textit{C. Baxa}, Monatsh. Math. 192, No. 2, 479 (2020; Zbl 1435.00013) Full Text: DOI
Azzam, Jonas; Mourgoglou, Mihalis; Tolsa, Xavier A two-phase free boundary problem for harmonic measure and uniform rectifiability. (English) Zbl 1443.31003 Trans. Am. Math. Soc. 373, No. 6, 4359-4388 (2020). Reviewer: Stephen J. Gardiner (Dublin) MSC: 31B15 28A75 28A78 35J15 35J08 42B37 PDF BibTeX XML Cite \textit{J. Azzam} et al., Trans. Am. Math. Soc. 373, No. 6, 4359--4388 (2020; Zbl 1443.31003) Full Text: DOI
Rosenberg, Eric Fractal dimensions of networks. (English) Zbl 07207269 Cham: Springer (ISBN 978-3-030-43168-6/hbk; 978-3-030-43169-3/ebook). xx, 524 p. (2020). MSC: 28A80 28A78 28-02 05-02 05C82 05C85 PDF BibTeX XML Cite \textit{E. Rosenberg}, Fractal dimensions of networks. Cham: Springer (2020; Zbl 07207269) Full Text: DOI
Dudko, Artem; Sutherland, Scott On the Lebesgue measure of the Feigenbaum Julia set. (English) Zbl 07207179 Invent. Math. 221, No. 1, 167-202 (2020). Reviewer: Walter Bergweiler (Kiel) MSC: 37F10 37F25 37F35 28A78 30D05 PDF BibTeX XML Cite \textit{A. Dudko} and \textit{S. Sutherland}, Invent. Math. 221, No. 1, 167--202 (2020; Zbl 07207179) Full Text: DOI
Duse, Erik; Metcalfe, Anthony Asymptotic geometry of discrete interlaced pattern. II. (Géométrie asymptotique de motifs entrelacés discrets. II.) (English. French summary) Zbl 1451.60021 Ann. Inst. Fourier 70, No. 1, 375-436 (2020). Reviewer: Nikolaos Fountoulakis (Birmingham) MSC: 60C05 42B20 60G55 35J20 PDF BibTeX XML Cite \textit{E. Duse} and \textit{A. Metcalfe}, Ann. Inst. Fourier 70, No. 1, 375--436 (2020; Zbl 1451.60021) Full Text: DOI
Lü, Fan; Wu, Jun Maximal run-length function for real numbers in beta-dynamical system. (English) Zbl 1446.11148 Nonlinearity 33, No. 6, 2640-2659 (2020). Reviewer: Symon Serbenyuk (Kyiv) MSC: 11K55 11A63 PDF BibTeX XML Cite \textit{F. Lü} and \textit{J. Wu}, Nonlinearity 33, No. 6, 2640--2659 (2020; Zbl 1446.11148) Full Text: DOI
Fu, Xiaoye; Gabardo, Jean-Pierre; Qiu, Hua Open set condition and pseudo Hausdorff measure of self-affine IFSs. (English) Zbl 1440.28007 Nonlinearity 33, No. 6, 2592-2614 (2020). Reviewer: Peter Massopust (München) MSC: 28A80 28A78 PDF BibTeX XML Cite \textit{X. Fu} et al., Nonlinearity 33, No. 6, 2592--2614 (2020; Zbl 1440.28007) Full Text: DOI
Hussain, Mumtaz; Kristensen, Simon; Simmons, David Metrical theorems on systems of affine forms. (English) Zbl 07202820 J. Number Theory 213, 67-100 (2020). MSC: 11J83 11J20 PDF BibTeX XML Cite \textit{M. Hussain} et al., J. Number Theory 213, 67--100 (2020; Zbl 07202820) Full Text: DOI
Wu, Junru; Wang, Chengyuan Fractal Stokes’ theorem based on integrals on fractal manifolds. (English) Zbl 1434.28009 Fractals 28, No. 1, Article ID 2050010, 6 p. (2020). MSC: 28A78 28A80 PDF BibTeX XML Cite \textit{J. Wu} and \textit{C. Wang}, Fractals 28, No. 1, Article ID 2050010, 6 p. (2020; Zbl 1434.28009) Full Text: DOI
Balestro, Vitor; Martini, Horst; Teixeira, Ralph Asymmetry measures for convex distance functions. (English) Zbl 1441.52001 J. Convex Anal. 27, No. 1, 117-138 (2020). Reviewer: Suman Panwar (New Delhi) MSC: 52A10 46B20 28A12 PDF BibTeX XML Cite \textit{V. Balestro} et al., J. Convex Anal. 27, No. 1, 117--138 (2020; Zbl 1441.52001) Full Text: Link
Algom, Amir Slicing theorems and rigidity phenomena for self-affine carpets. (English) Zbl 07199125 Proc. Lond. Math. Soc. (3) 121, No. 2, 312-353 (2020). MSC: 11K55 28A80 28A50 28D05 37C45 PDF BibTeX XML Cite \textit{A. Algom}, Proc. Lond. Math. Soc. (3) 121, No. 2, 312--353 (2020; Zbl 07199125) Full Text: DOI