Hu, Wenjie; Caraballo, Tomás Hausdorff and fractal dimensions of attractors for functional differential equations in Banach spaces. (English) Zbl 07797692 J. Differ. Equations 385, 395-423 (2024). MSC: 35B41 35K90 35R10 37L30 PDFBibTeX XMLCite \textit{W. Hu} and \textit{T. Caraballo}, J. Differ. Equations 385, 395--423 (2024; Zbl 07797692) Full Text: DOI arXiv
Hu, Wenjie; Caraballo, Tomás Pullback exponential attractors with explicit fractal dimensions for non-autonomous partial functional differential equations. (English) Zbl 07797095 J. Nonlinear Sci. 34, No. 1, Paper No. 27, 36 p. (2024). MSC: 37L25 37L30 37L55 37B55 60H15 35R60 PDFBibTeX XMLCite \textit{W. Hu} and \textit{T. Caraballo}, J. Nonlinear Sci. 34, No. 1, Paper No. 27, 36 p. (2024; Zbl 07797095) Full Text: DOI
Lal, Rattan; Selmi, Bilel; Verma, Saurabh On dimension of fractal functions on product of the Sierpiński gaskets and associated measures. (English) Zbl 07797044 Result. Math. 79, No. 2, Paper No. 73, 20 p. (2024). MSC: 28A12 28A25 28A78 28A80 28C20 PDFBibTeX XMLCite \textit{R. Lal} et al., Result. Math. 79, No. 2, Paper No. 73, 20 p. (2024; Zbl 07797044) Full Text: DOI
Fumeron, Sébastien; Henkel, Malte; López, Alexander Fractional cosmic strings. (English) Zbl 07794302 Classical Quantum Gravity 41, No. 2, Article ID 025007, 12 p. (2024). MSC: 83C45 83C10 PDFBibTeX XMLCite \textit{S. Fumeron} et al., Classical Quantum Gravity 41, No. 2, Article ID 025007, 12 p. (2024; Zbl 07794302) Full Text: DOI arXiv
Ai, Chengfei; Shen, Jun Finite fractal dimensional pullback attractors for a class of 2D magneto-viscoelastic flows. (English) Zbl 07785607 Bull. Malays. Math. Sci. Soc. (2) 47, No. 1, Paper No. 17, 31 p. (2024). MSC: 35Q35 76A10 76W05 35B41 37L30 28A80 PDFBibTeX XMLCite \textit{C. Ai} and \textit{J. Shen}, Bull. Malays. Math. Sci. Soc. (2) 47, No. 1, Paper No. 17, 31 p. (2024; Zbl 07785607) Full Text: DOI
Cholewa, Jan W.; Czaja, Radosław Exponential attractor for the Cahn-Hilliard-Oono equation in \(\mathbb{R}^N\). (English) Zbl 07799918 Topol. Methods Nonlinear Anal. 62, No. 2, 485-508 (2023). MSC: 37L30 35K30 35K58 35B41 PDFBibTeX XMLCite \textit{J. W. Cholewa} and \textit{R. Czaja}, Topol. Methods Nonlinear Anal. 62, No. 2, 485--508 (2023; Zbl 07799918) Full Text: DOI Link
Tamayo Castro, Carlos Daniel Marcinkiewicz exponent and boundary value problems in fractal domains of \(\mathbb{R}^{n+1}\). (English) Zbl 1527.30034 Anal. Math. Phys. 13, No. 6, Paper No. 86, 21 p. (2023). MSC: 30G35 30G30 28A80 PDFBibTeX XMLCite \textit{C. D. Tamayo Castro}, Anal. Math. Phys. 13, No. 6, Paper No. 86, 21 p. (2023; Zbl 1527.30034) Full Text: DOI arXiv OA License
Bárány, Balázs; Simon, Károly; Solomyak, Boris Self-similar and self-affine sets and measures. (English) Zbl 07759243 Mathematical Surveys and Monographs 276. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-7046-3/pbk; 978-1-4704-7550-5/ebook). xii, 451 p. (2023). Reviewer: Peter Massopust (München) MSC: 28-02 28A78 28A80 28D05 28D20 37-02 37C25 37C40 37C45 PDFBibTeX XMLCite \textit{B. Bárány} et al., Self-similar and self-affine sets and measures. Providence, RI: American Mathematical Society (AMS) (2023; Zbl 07759243) Full Text: DOI
Loosveldt, L. Multifractional Hermite processes: definition and first properties. (English) Zbl 1523.60064 Stochastic Processes Appl. 165, 465-500 (2023). MSC: 60G22 60G15 60G17 60G18 PDFBibTeX XMLCite \textit{L. Loosveldt}, Stochastic Processes Appl. 165, 465--500 (2023; Zbl 1523.60064) 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 PDFBibTeX XMLCite \textit{D.-J. Feng} et al., Adv. Math. 431, Article ID 109237, 62 p. (2023; Zbl 07741087) Full Text: DOI arXiv
Pastén, Erick; Cárdenas, Víctor H. A fractal LTB model cannot explain dark energy. (English) Zbl 07739000 Gen. Relativ. Gravitation 55, No. 7, Paper No. 79, 17 p. (2023). MSC: 83F05 PDFBibTeX XMLCite \textit{E. Pastén} and \textit{V. H. Cárdenas}, Gen. Relativ. Gravitation 55, No. 7, Paper No. 79, 17 p. (2023; Zbl 07739000) 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 PDFBibTeX XMLCite \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
Ban, Ailing Fractal dimension of random attractor for a stochastic lattice system with white noise. (English) Zbl 07715947 Acta Appl. Math. 186, Paper No. 1, 15 p. (2023). MSC: 37L55 37L30 37L60 35B41 35B40 PDFBibTeX XMLCite \textit{A. Ban}, Acta Appl. Math. 186, Paper No. 1, 15 p. (2023; Zbl 07715947) Full Text: DOI
Radunović, Goran Quasiperiodic sets at infinity and meromorphic extensions of their fractal zeta functions. (English) Zbl 1524.11169 Bull. Malays. Math. Sci. Soc. (2) 46, No. 3, Paper No. 107, 32 p. (2023). MSC: 11M41 28A12 28A75 28A80 PDFBibTeX XMLCite \textit{G. Radunović}, Bull. Malays. Math. Sci. Soc. (2) 46, No. 3, Paper No. 107, 32 p. (2023; Zbl 1524.11169) Full Text: DOI arXiv
Czaja, Radosław; Kania, Maria Exponential attractors for modified Swift-Hohenberg equation in \(\mathbb{R}^N\). (English) Zbl 1524.37073 Differ. Integral Equ. 36, No. 5-6, 347-366 (2023). Reviewer: Philippe Laurençot (Chambéry) MSC: 37L30 35B41 35G25 35Q92 PDFBibTeX XMLCite \textit{R. Czaja} and \textit{M. Kania}, Differ. Integral Equ. 36, No. 5--6, 347--366 (2023; Zbl 1524.37073) Full Text: DOI
Blanc-Renaudie, Arthur Compactness and fractal dimensions of inhomogeneous continuum random trees. (English) Zbl 1509.05156 Probab. Theory Relat. Fields 185, No. 3-4, 961-991 (2023). MSC: 05C80 05C05 60D05 60F10 PDFBibTeX XMLCite \textit{A. Blanc-Renaudie}, Probab. Theory Relat. Fields 185, No. 3--4, 961--991 (2023; Zbl 1509.05156) Full Text: DOI arXiv
Pham Truong Xuan; Nguyen Thi Van Anh On attractor’s dimensions of the modified Leray-alpha equation. (English) Zbl 1509.35241 Asymptotic Anal. 131, No. 2, 185-207 (2023). MSC: 35Q35 76D05 76F99 35B41 35D30 35A01 35A02 35B40 37L30 28A80 35R01 PDFBibTeX XMLCite \textit{Pham Truong Xuan} and \textit{Nguyen Thi Van Anh}, Asymptotic Anal. 131, No. 2, 185--207 (2023; Zbl 1509.35241) Full Text: DOI arXiv
El-Nabulsi, Rami Ahmad; Anukool, Waranont Modeling of combustion and turbulent jet diffusion flames in fractal dimensions. (English) Zbl 1514.76047 Contin. Mech. Thermodyn. 34, No. 5, 1219-1235 (2022). MSC: 76F80 80A25 28A80 PDFBibTeX XMLCite \textit{R. A. El-Nabulsi} and \textit{W. Anukool}, Contin. Mech. Thermodyn. 34, No. 5, 1219--1235 (2022; Zbl 1514.76047) Full Text: DOI
Han, Qun; Zhang, Chengbin; Chen, Yongping Melting heat transfer improvement by venation-finned porous networks. (English) Zbl 1509.80004 Fractals 30, No. 9, Article ID 2250180, 19 p. (2022). MSC: 80A22 80A19 74F05 52C20 28A80 76S05 76M28 PDFBibTeX XMLCite \textit{Q. Han} et al., Fractals 30, No. 9, Article ID 2250180, 19 p. (2022; Zbl 1509.80004) Full Text: DOI
Freitas, Mirelson M.; Ramos, Anderson J. A.; Feng, Baowei; Santos, Mauro L.; Rodrigues, Helen C. M. Existence and continuity of global attractors for ternary mixtures of solids. (English) Zbl 1500.35049 Discrete Contin. Dyn. Syst., Ser. B 27, No. 7, 3563-3583 (2022). MSC: 35B41 35L53 37L30 PDFBibTeX XMLCite \textit{M. M. Freitas} et al., Discrete Contin. Dyn. Syst., Ser. B 27, No. 7, 3563--3583 (2022; Zbl 1500.35049) Full Text: DOI
Xu, Ling; Huang, Jianhua; Ma, Qiaozhen Random exponential attractor for stochastic non-autonomous suspension bridge equation with additive white noise. (English) Zbl 1505.37094 Discrete Contin. Dyn. Syst., Ser. B 27, No. 11, 6323-6351 (2022). MSC: 37L55 37L30 35R60 PDFBibTeX XMLCite \textit{L. Xu} et al., Discrete Contin. Dyn. Syst., Ser. B 27, No. 11, 6323--6351 (2022; Zbl 1505.37094) Full Text: DOI
López-Lázaro, Heraclio; Nascimento, Marcelo J. D.; Rubio, Obidio Finite fractal dimension of pullback attractors for semilinear heat equation with delay in some domain with moving boundary. (English) Zbl 1498.35103 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 225, Article ID 113107, 35 p. (2022). MSC: 35B41 35K20 35K58 35R10 35R37 37L30 35Q79 PDFBibTeX XMLCite \textit{H. López-Lázaro} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 225, Article ID 113107, 35 p. (2022; Zbl 1498.35103) Full Text: DOI
Mardešić, Pavao; Radunović, Goran; Resman, Maja Fractal zeta functions of orbits of parabolic diffeomorphisms. (English) Zbl 1506.11115 Anal. Math. Phys. 12, No. 5, Paper No. 114, 70 p. (2022). Reviewer: Roma Kačinskaitė (Vilnius) MSC: 11M41 28A75 28A80 37C05 37C15 44A15 37C25 PDFBibTeX XMLCite \textit{P. Mardešić} et al., Anal. Math. Phys. 12, No. 5, Paper No. 114, 70 p. (2022; Zbl 1506.11115) Full Text: DOI arXiv
Cui, Hongyong; Li, Yangrong Asymptotic \(H^2\) regularity of a stochastic reaction-diffusion equation. (English) Zbl 1496.35073 Discrete Contin. Dyn. Syst., Ser. B 27, No. 10, 5653-5671 (2022). MSC: 35B40 35B41 35K57 35R60 37L30 PDFBibTeX XMLCite \textit{H. Cui} and \textit{Y. Li}, Discrete Contin. Dyn. Syst., Ser. B 27, No. 10, 5653--5671 (2022; Zbl 1496.35073) Full Text: DOI
Czaja, Radosław Pullback attractors via quasi-stability for non-autonomous lattice dynamical systems. (English) Zbl 1503.37083 Discrete Contin. Dyn. Syst., Ser. B 27, No. 9, 5317-5342 (2022). MSC: 37L60 37L30 37L15 PDFBibTeX XMLCite \textit{R. Czaja}, Discrete Contin. Dyn. Syst., Ser. B 27, No. 9, 5317--5342 (2022; Zbl 1503.37083) Full Text: DOI
Condori, Alexander; Carvalho, Silas L. A note on the relation between the metric entropy and the generalized fractal dimensions of invariant measures. (English) Zbl 1500.37019 Bull. Braz. Math. Soc. (N.S.) 53, No. 2, 479-500 (2022). MSC: 37C45 37B40 37A30 28A78 28A80 PDFBibTeX XMLCite \textit{A. Condori} and \textit{S. L. Carvalho}, Bull. Braz. Math. Soc. (N.S.) 53, No. 2, 479--500 (2022; Zbl 1500.37019) Full Text: DOI arXiv
Alouini, Brahim Finite dimensional global attractor for a fractional Schrödinger type equation with mixed anisotropic dispersion. (English) Zbl 1487.35098 J. Dyn. Differ. Equations 34, No. 2, 1237-1268 (2022). MSC: 35B41 35Q55 35R11 76B03 37L30 PDFBibTeX XMLCite \textit{B. Alouini}, J. Dyn. Differ. Equations 34, No. 2, 1237--1268 (2022; Zbl 1487.35098) Full Text: DOI
Shu, Ji; Bai, Qianqian; Huang, Xin; Zhang, Jian Finite fractal dimension of random attractors for non-autonomous fractional stochastic reaction-diffusion equations in \(\mathbb{R}\). (English) Zbl 1497.37098 Appl. Anal. 101, No. 6, 2217-2238 (2022). MSC: 37L55 37L30 35R11 35R60 35Q56 35K57 60H15 26A33 PDFBibTeX XMLCite \textit{J. Shu} et al., Appl. Anal. 101, No. 6, 2217--2238 (2022; Zbl 1497.37098) Full Text: DOI
Alouini, Brahim Finite dimensional global attractor for a class of two-coupled nonlinear fractional Schrödinger equations. (English) Zbl 1486.35064 Evol. Equ. Control Theory 11, No. 2, 559-581 (2022). MSC: 35B41 35Q55 35R11 37L30 76B03 PDFBibTeX XMLCite \textit{B. Alouini}, Evol. Equ. Control Theory 11, No. 2, 559--581 (2022; Zbl 1486.35064) Full Text: DOI
Mohan, Manil T. Global attractors, exponential attractors and determining modes for the three dimensional Kelvin-Voigt fluids with “Fading memory”. (English) Zbl 1498.37118 Evol. Equ. Control Theory 11, No. 1, 125-167 (2022). Reviewer: Joseph Shomberg (Providence) MSC: 37L30 35Q35 35Q30 35B40 PDFBibTeX XMLCite \textit{M. T. Mohan}, Evol. Equ. Control Theory 11, No. 1, 125--167 (2022; Zbl 1498.37118) Full Text: DOI
Yang, Wenhua; Zhou, Jun Global attractors of the degenerate fractional Kirchhoff wave equation with structural damping or strong damping. (English) Zbl 1500.37045 Adv. Nonlinear Anal. 11, 993-1029 (2022). Reviewer: Nelson Vieira (Aveiro) MSC: 37L30 37L15 37L65 35B40 35B41 35R11 26A33 PDFBibTeX XMLCite \textit{W. Yang} and \textit{J. Zhou}, Adv. Nonlinear Anal. 11, 993--1029 (2022; Zbl 1500.37045) Full Text: DOI
Alouini, Brahim Asymptotic behaviour of the solutions for a weakly damped anisotropic sixth-order Schrödinger type equation in \(\mathbb{R}^2\). (English) Zbl 1483.35192 Discrete Contin. Dyn. Syst., Ser. B 27, No. 1, 45-72 (2022). MSC: 35Q55 35Q41 35B40 35B65 37L30 28A80 PDFBibTeX XMLCite \textit{B. Alouini}, Discrete Contin. Dyn. Syst., Ser. B 27, No. 1, 45--72 (2022; Zbl 1483.35192) Full Text: DOI
Cui, Hongyong; Cunha, Arthur C.; Langa, José A. Finite-dimensionality of tempered random uniform attractors. (English) Zbl 1487.37091 J. Nonlinear Sci. 32, No. 1, Paper No. 13, 55 p. (2022). Reviewer: Joseph Shomberg (Providence) MSC: 37L55 37L30 37H30 35K57 60H15 28A80 28A78 PDFBibTeX XMLCite \textit{H. Cui} et al., J. Nonlinear Sci. 32, No. 1, Paper No. 13, 55 p. (2022; Zbl 1487.37091) Full Text: DOI
Botet, Robert; Kwok, Sylvie; Cabane, Bernard Filling space with polydisperse spheres in a non-Apollonian way. (English) Zbl 1520.52012 J. Phys. A, Math. Theor. 54, No. 19, Article ID 195201, 18 p. (2021). MSC: 52C17 28A80 60D05 PDFBibTeX XMLCite \textit{R. Botet} et al., J. Phys. A, Math. Theor. 54, No. 19, Article ID 195201, 18 p. (2021; Zbl 1520.52012) Full Text: DOI
Carvalho, Silas L.; Condori, Alexander Generalized fractal dimensions of invariant measures of full-shift systems over compact and perfect spaces: generic behavior. (English) Zbl 1496.37009 Forum Math. 33, No. 2, 435-450 (2021). MSC: 37B10 37B51 37A05 28D05 PDFBibTeX XMLCite \textit{S. L. Carvalho} and \textit{A. Condori}, Forum Math. 33, No. 2, 435--450 (2021; Zbl 1496.37009) Full Text: DOI arXiv
Barnsley, Louisa F.; Barnsley, Michael F. Central open sets tilings. (English) Zbl 1485.28010 Walczak, Szymon (ed.), Proceedings of the contemporary mathematics in Kielce 2020, Kielce, Poland, February 24–27, 2021. Warsaw: De Gruyter/Sciendo. 37-54 (2021). MSC: 28A80 05B45 52C22 PDFBibTeX XMLCite \textit{L. F. Barnsley} and \textit{M. F. Barnsley}, in: Proceedings of the contemporary mathematics in Kielce 2020, Kielce, Poland, February 24--27, 2021. Warsaw: De Gruyter/Sciendo. 37--54 (2021; Zbl 1485.28010) Full Text: DOI arXiv
Lapidus, Michel L.; Hùng, Lũ’; van Frankenhuijsen, Machiel \(p\)-adic fractal strings of arbitrary rational dimensions and Cantor strings. (English) Zbl 1485.11138 \(p\)-Adic Numbers Ultrametric Anal. Appl. 13, No. 3, 215-230 (2021). MSC: 11M41 35P20 11M06 11M26 28A80 PDFBibTeX XMLCite \textit{M. L. Lapidus} et al., \(p\)-Adic Numbers Ultrametric Anal. Appl. 13, No. 3, 215--230 (2021; Zbl 1485.11138) Full Text: DOI arXiv
Feng, De-Jun; Simon, Károly Dimension estimates for \(C^1\) iterated function systems and \(C^1\) repellers, a survey. (English) Zbl 1485.37020 Pollicott, Mark (ed.) et al., Thermodynamic formalism. CIRM Jean-Morlet chair, fall 2019. Cham: Springer. Lect. Notes Math. 2290, 421-467 (2021). MSC: 37C45 37C70 37A05 PDFBibTeX XMLCite \textit{D.-J. Feng} and \textit{K. Simon}, Lect. Notes Math. 2290, 421--467 (2021; Zbl 1485.37020) Full Text: DOI
Li, Fang; You, Bo On the dimension of global attractor for the Cahn-Hilliard-Brinkman system with dynamic boundary conditions. (English) Zbl 1478.35050 Discrete Contin. Dyn. Syst., Ser. B 26, No. 12, 6387-6403 (2021). MSC: 35B41 35B25 35K35 35Q35 37L30 PDFBibTeX XMLCite \textit{F. Li} and \textit{B. You}, Discrete Contin. Dyn. Syst., Ser. B 26, No. 12, 6387--6403 (2021; Zbl 1478.35050) Full Text: DOI
Anh, Cung The; Thuy, Le Thi; Tinh, Le Tran Long-time behavior of a family of incompressible three-dimensional Leray-\(\alpha\)-like models. (English) Zbl 1477.35152 Bull. Korean Math. Soc. 58, No. 5, 1109-1127 (2021). MSC: 35Q35 37L30 76D03 76D05 76F20 76F65 26A33 35R11 35D30 35B41 35B40 PDFBibTeX XMLCite \textit{C. T. Anh} et al., Bull. Korean Math. Soc. 58, No. 5, 1109--1127 (2021; Zbl 1477.35152) Full Text: DOI
Aloisio, Moacir; Carvalho, Silas L.; de Oliveira, César R. Some generic fractal properties of bounded self-adjoint operators. (English) Zbl 1499.81045 Lett. Math. Phys. 111, No. 5, Paper No. 114, 19 p. (2021). MSC: 81Q10 28A80 35J10 PDFBibTeX XMLCite \textit{M. Aloisio} et al., Lett. Math. Phys. 111, No. 5, Paper No. 114, 19 p. (2021; Zbl 1499.81045) Full Text: DOI arXiv
You, Bo Pullback exponential attractors for some non-autonomous dissipative dynamical systems. (English) Zbl 1487.37090 Math. Methods Appl. Sci. 44, No. 13, 10361-10386 (2021). Reviewer: Stefanie Sonner (Nijmegen) MSC: 37L30 37C60 35B41 37L25 35Q86 37N10 PDFBibTeX XMLCite \textit{B. You}, Math. Methods Appl. Sci. 44, No. 13, 10361--10386 (2021; Zbl 1487.37090) Full Text: DOI
Ai, Chengfei; Tan, Zhong Global and exponential attractors for a class of non-Newtonian micropolar fluids. (English) Zbl 1473.35429 Math. Methods Appl. Sci. 44, No. 13, 10032-10052 (2021). MSC: 35Q35 35B40 37L30 76A05 PDFBibTeX XMLCite \textit{C. Ai} and \textit{Z. Tan}, Math. Methods Appl. Sci. 44, No. 13, 10032--10052 (2021; Zbl 1473.35429) Full Text: DOI
Alouini, Brahim A note on the finite fractal dimension of the global attractors for dissipative nonlinear Schrödinger-type equations. (English) Zbl 1476.37089 Math. Methods Appl. Sci. 44, No. 1, 91-103 (2021). MSC: 37L30 35Q55 35B40 PDFBibTeX XMLCite \textit{B. Alouini}, Math. Methods Appl. Sci. 44, No. 1, 91--103 (2021; Zbl 1476.37089) Full Text: DOI
Freitas, Mirelson M.; Ramos, Anderson J. A.; Santos, Mauro L. Existence and upper-semicontinuity of global attractors for binary mixtures solids with fractional damping. (English) Zbl 1469.35048 Appl. Math. Optim. 83, No. 3, 1353-1385 (2021). MSC: 35B41 35L53 35L71 35L90 35R11 37L30 PDFBibTeX XMLCite \textit{M. M. Freitas} et al., Appl. Math. Optim. 83, No. 3, 1353--1385 (2021; Zbl 1469.35048) Full Text: DOI
Vörös, László Hidden structures in tessellations of convex uniform honeycombs. (English) Zbl 1462.52035 Cheng, Liang-Yee (ed.), ICGG 2020 – Proceedings of the 19th international conference on geometry and graphics, São Paulo, Brazil, January 18–22, 2021. Cham: Springer. Adv. Intell. Syst. Comput. 1296, 69-81 (2021). MSC: 52C22 05B45 51M20 52B11 52B12 52B15 PDFBibTeX XMLCite \textit{L. Vörös}, Adv. Intell. Syst. Comput. 1296, 69--81 (2021; Zbl 1462.52035) Full Text: DOI
Sava-Huss, Ecaterina From fractals in external DLA to internal DLA on fractals. (English) Zbl 1470.60206 Freiberg, Uta (ed.) et al., Fractal geometry and stochastics VI. Selected papers of the 6th conference, Bad Herrenalb, Germany, September 30 – October 6, 2018. Cham: Birkhäuser. Prog. Probab. 76, 273-298 (2021). MSC: 60J10 28A80 31A15 05C81 PDFBibTeX XMLCite \textit{E. Sava-Huss}, Prog. Probab. 76, 273--298 (2021; Zbl 1470.60206) Full Text: DOI arXiv
Cui, Hongyong; Carvalho, Alexandre N.; Cunha, Arthur C.; Langa, José A. Smoothing and finite-dimensionality of uniform attractors in Banach spaces. (English) Zbl 1461.35063 J. Differ. Equations 285, 383-428 (2021). MSC: 35B41 35B40 35B65 35K57 35Q30 37L30 PDFBibTeX XMLCite \textit{H. Cui} et al., J. Differ. Equations 285, 383--428 (2021; Zbl 1461.35063) Full Text: DOI
Fuss, Franz Konstantin; Weizman, Yehuda; Tan, Adin Ming The non-linear relationship between randomness and scaling properties such as fractal dimensions and Hurst exponent in distributed signals. (English) Zbl 1459.94034 Commun. Nonlinear Sci. Numer. Simul. 96, Article ID 105683, 16 p. (2021). MSC: 94A12 PDFBibTeX XMLCite \textit{F. K. Fuss} et al., Commun. Nonlinear Sci. Numer. Simul. 96, Article ID 105683, 16 p. (2021; Zbl 1459.94034) Full Text: DOI
Loutsenko, Igor; Yermolayeva, Oksana On integrability and exact solvability in deterministic and stochastic Laplacian growth. (English) Zbl 1469.31022 Math. Model. Nat. Phenom. 15, Paper No. 3, 24 p. (2020). MSC: 31B20 35R35 PDFBibTeX XMLCite \textit{I. Loutsenko} and \textit{O. Yermolayeva}, Math. Model. Nat. Phenom. 15, Paper No. 3, 24 p. (2020; Zbl 1469.31022) Full Text: DOI arXiv
Moreira, Carlos Gustavo T. de A. On the minima of Markov and Lagrange dynamical spectra. (English) Zbl 1468.11157 Crovisier, Sylvain (ed.) et al., Some aspects of the theory of dynamical systems: a tribute to Jean-Christophe Yoccoz. Volume I. Paris: Société Mathématique de France (SMF). Astérisque 415, 45-57 (2020). Reviewer: Jörg Neunhäuserer (Goslar) MSC: 11J06 37D20 28A78 PDFBibTeX XMLCite \textit{C. G. T. de A. Moreira}, Astérisque 415, 45--57 (2020; Zbl 1468.11157) Full Text: DOI arXiv
Guo, Yantao; Chen, Xueyong Dimension of the global attractor for damped KdV-Burgers equations on \(\mathbb{R}\). (English) Zbl 1474.35119 Math. Appl. 33, No. 4, 922-928 (2020). MSC: 35B41 35Q53 37L30 PDFBibTeX XMLCite \textit{Y. Guo} and \textit{X. Chen}, Math. Appl. 33, No. 4, 922--928 (2020; Zbl 1474.35119)
Phan, Chi; You, Yuncheng Exponential attractor for Hindmarsh-Rose equations in neurodynamics. (English) Zbl 1460.35049 J. Appl. Anal. Comput. 10, No. 5, 2036-2057 (2020). MSC: 35B41 35K51 35K57 35Q92 37L30 37N25 92C20 PDFBibTeX XMLCite \textit{C. Phan} and \textit{Y. You}, J. Appl. Anal. Comput. 10, No. 5, 2036--2057 (2020; Zbl 1460.35049) Full Text: DOI arXiv
Alouini, Brahim Finite dimensional global attractor for a damped fractional anisotropic Schrödinger type equation with harmonic potential. (English) Zbl 1460.35044 Commun. Pure Appl. Anal. 19, No. 9, 4545-4573 (2020). MSC: 35B41 35Q55 76B03 37L30 PDFBibTeX XMLCite \textit{B. Alouini}, Commun. Pure Appl. Anal. 19, No. 9, 4545--4573 (2020; Zbl 1460.35044) Full Text: DOI
Wu, Yunxi; Tao, Wenjian; Xiao, Cuihui; Yin, Fuqi The Lyapunov function and dimensions of the global attractors for sine-Gordon equations. (English) Zbl 1463.35110 Nat. Sci. J. Xiangtan Univ. 42, No. 2, 61-75 (2020). MSC: 35B41 35Q53 37L30 PDFBibTeX XMLCite \textit{Y. Wu} et al., Nat. Sci. J. Xiangtan Univ. 42, No. 2, 61--75 (2020; Zbl 1463.35110) Full Text: DOI
Han, Zongfei; Zhou, Shengfan Random exponential attractor for non-autonomous stochastic FitzHugh-Nagumo system with multiplicative noise in \({\mathbb{R}^3}\). (Chinese. English summary) Zbl 1463.35103 Acta Math. Sci., Ser. A, Chin. Ed. 40, No. 3, 756-783 (2020). MSC: 35B41 37L30 37L55 PDFBibTeX XMLCite \textit{Z. Han} and \textit{S. Zhou}, Acta Math. Sci., Ser. A, Chin. Ed. 40, No. 3, 756--783 (2020; Zbl 1463.35103)
Lu, Ruihan; Ren, Yonghua Global attractor for a viscoelastic plate equation with time-varying delay. (Chinese. English summary) Zbl 1463.35106 Math. Appl. 33, No. 2, 263-274 (2020). MSC: 35B41 35Q74 37L30 PDFBibTeX XMLCite \textit{R. Lu} and \textit{Y. Ren}, Math. Appl. 33, No. 2, 263--274 (2020; Zbl 1463.35106)
Andres, Jan; Langer, Jiří; Matlach, Vladimír Fractal-based analysis of sign language. (English) Zbl 1491.91102 Commun. Nonlinear Sci. Numer. Simul. 84, Article ID 105214, 14 p. (2020). MSC: 91F20 28A80 PDFBibTeX XMLCite \textit{J. Andres} et al., Commun. Nonlinear Sci. Numer. Simul. 84, Article ID 105214, 14 p. (2020; Zbl 1491.91102) Full Text: DOI
Cui, Hongyong; Kloeden, Peter E.; Zhao, Wenqiang Strong \((L^2,L^\gamma\cap H_0^1)\)-continuity in initial data of nonlinear reaction-diffusion equation in any space dimension. (English) Zbl 1448.35298 Electron. Res. Arch. 28, No. 3, 1357-1374 (2020). MSC: 35K57 35K20 35B30 35B40 35B41 37L30 PDFBibTeX XMLCite \textit{H. Cui} et al., Electron. Res. Arch. 28, No. 3, 1357--1374 (2020; Zbl 1448.35298) Full Text: DOI arXiv
Fuhrmann, Gabriel; Gröger, Maik Constant length substitutions, iterated function systems and amorphic complexity. (English) Zbl 1453.37015 Math. Z. 295, No. 3-4, 1385-1404 (2020). Reviewer: Bilel Selmi (Monastir) MSC: 37B10 37B40 37C45 28A78 28A80 PDFBibTeX XMLCite \textit{G. Fuhrmann} and \textit{M. Gröger}, Math. Z. 295, No. 3--4, 1385--1404 (2020; Zbl 1453.37015) Full Text: DOI arXiv
Gomes Tavares, E. H.; Jorge Silva, M. A.; Narciso, V. Long-time dynamics of Balakrishnan-Taylor extensible beams. (English) Zbl 1445.35060 J. Dyn. Differ. Equations 32, No. 3, 1157-1175 (2020). MSC: 35B40 35B41 37L30 35L75 74H40 74K10 PDFBibTeX XMLCite \textit{E. H. Gomes Tavares} et al., J. Dyn. Differ. Equations 32, No. 3, 1157--1175 (2020; Zbl 1445.35060) Full Text: DOI
Farwig, Reinhard; Qian, Chenyin The global existence and attractor for \(p\)-Laplace equations in unbounded domains. (English) Zbl 1443.35089 J. Elliptic Parabol. Equ. 6, No. 1, 311-342 (2020); correction ibid. 7, No. 2, 991-992 (2021). MSC: 35K92 35B40 35B41 35K55 37L05 37L30 PDFBibTeX XMLCite \textit{R. Farwig} and \textit{C. Qian}, J. Elliptic Parabol. Equ. 6, No. 1, 311--342 (2020; Zbl 1443.35089) Full Text: DOI
Tan, Xingni; Yin, Fuqi; Fan, Guihong Random exponential attractor for stochastic discrete long wave-short wave resonance equation with multiplicative white noise. (English) Zbl 1444.37062 Discrete Contin. Dyn. Syst., Ser. B 25, No. 8, 3153-3170 (2020). MSC: 37L55 37L30 35B40 35R60 60H15 PDFBibTeX XMLCite \textit{X. Tan} et al., Discrete Contin. Dyn. Syst., Ser. B 25, No. 8, 3153--3170 (2020; Zbl 1444.37062) Full Text: DOI
Cholewa, Jan W.; Czaja, Radosław Lattice dynamical systems: dissipative mechanism and fractal dimension of global and exponential attractors. (English) Zbl 1458.37078 J. Evol. Equ. 20, No. 2, 485-515 (2020). Reviewer: Caidi Zhao (Wenzhou) MSC: 37L60 37L30 35B41 35K57 PDFBibTeX XMLCite \textit{J. W. Cholewa} and \textit{R. Czaja}, J. Evol. Equ. 20, No. 2, 485--515 (2020; Zbl 1458.37078) Full Text: DOI
Chang, Qingquan; Li, Dandan; Sun, Chunyou Random attractors for stochastic time-dependent damped wave equation with critical exponents. (English) Zbl 1454.37075 Discrete Contin. Dyn. Syst., Ser. B 25, No. 7, 2793-2824 (2020). Reviewer: Stefanie Sonner (Nijmegen) MSC: 37L55 37L30 35R60 60H15 PDFBibTeX XMLCite \textit{Q. Chang} et al., Discrete Contin. Dyn. Syst., Ser. B 25, No. 7, 2793--2824 (2020; Zbl 1454.37075) Full Text: DOI
Guo, Chun Xiao; Shu, Ji; Wang, Xiao Hu Fractal dimension of random attractors for non-autonomous fractional stochastic Ginzburg-Landau equations. (English) Zbl 1440.37075 Acta Math. Sin., Engl. Ser. 36, No. 3, 318-336 (2020). MSC: 37L55 37L30 60H15 35Q56 35R60 PDFBibTeX XMLCite \textit{C. X. Guo} et al., Acta Math. Sin., Engl. Ser. 36, No. 3, 318--336 (2020; Zbl 1440.37075) Full Text: DOI
Sahu, Abhilash; Priyadarshi, Amit On the box-counting dimension of graphs of harmonic functions on the Sierpiński gasket. (English) Zbl 1436.28009 J. Math. Anal. Appl. 487, No. 2, Article ID 124036, 16 p. (2020). Reviewer: Peter Massopust (München) MSC: 28A80 31A05 PDFBibTeX XMLCite \textit{A. Sahu} and \textit{A. Priyadarshi}, J. Math. Anal. Appl. 487, No. 2, Article ID 124036, 16 p. (2020; Zbl 1436.28009) Full Text: DOI arXiv
Li, Donglong; Guo, Yanfeng Dimension estimates of the attractor for the dissipative quantum Zakharov equations. (English) Zbl 1499.37119 J. Inequal. Appl. 2019, Paper No. 41, 12 p. (2019). MSC: 37L30 35B40 35Q40 35B41 PDFBibTeX XMLCite \textit{D. Li} and \textit{Y. Guo}, J. Inequal. Appl. 2019, Paper No. 41, 12 p. (2019; Zbl 1499.37119) Full Text: DOI
Barkley, Jerome; Budd, Timothy Precision measurements of Hausdorff dimensions in two-dimensional quantum gravity. (English) Zbl 1478.83076 Classical Quantum Gravity 36, No. 24, Article ID 244001, 24 p. (2019). MSC: 83C45 83C80 60H25 28A80 65C05 11K55 PDFBibTeX XMLCite \textit{J. Barkley} and \textit{T. Budd}, Classical Quantum Gravity 36, No. 24, Article ID 244001, 24 p. (2019; Zbl 1478.83076) Full Text: DOI arXiv Link
Chueshov, Igor; Fastovska, Tamara; Ryzhkova, Iryna Quasi-stability method in study of asymptotic behavior of dynamical systems. (English) Zbl 1451.37005 J. Math. Phys. Anal. Geom. 15, No. 4, 448-501 (2019). MSC: 37-02 37L05 37L15 37L30 35B40 35B41 PDFBibTeX XMLCite \textit{I. Chueshov} et al., J. Math. Phys. Anal. Geom. 15, No. 4, 448--501 (2019; Zbl 1451.37005) Full Text: DOI
Lin, Guoguang; Li, Zhuoxi Attractor family and dimension for a class of high-order nonlinear Kirchhoff equations. (Chinese. English summary) Zbl 1449.35095 J. Shandong Univ., Nat. Sci. 54, No. 12, 1-11 (2019). MSC: 35B41 35G31 37L30 PDFBibTeX XMLCite \textit{G. Lin} and \textit{Z. Li}, J. Shandong Univ., Nat. Sci. 54, No. 12, 1--11 (2019; Zbl 1449.35095) Full Text: DOI
Samko, Natasha Embeddings of weighted generalized Morrey spaces into Lebesgue spaces on fractal sets. (English) Zbl 1443.43009 Fract. Calc. Appl. Anal. 22, No. 5, 1203-1224 (2019). Reviewer: Krzysztof Stempak (Wrocław) MSC: 43A85 46E30 PDFBibTeX XMLCite \textit{N. Samko}, Fract. Calc. Appl. Anal. 22, No. 5, 1203--1224 (2019; Zbl 1443.43009) Full Text: DOI Link
Wang, Xinchang; Ouyang, Peichang; Chung, Kwokwai; Zhan, Xiaogen; Yi, Hua; Tang, Xiaosong Fractal tilings from substitution tilings. (English) Zbl 1433.52025 Fractals 27, No. 2, Article ID 1950009, 8 p. (2019). MSC: 52C20 28A80 PDFBibTeX XMLCite \textit{X. Wang} et al., Fractals 27, No. 2, Article ID 1950009, 8 p. (2019; Zbl 1433.52025) Full Text: DOI
Lapidus, Michel L. An overview of complex fractal dimensions: from fractal strings to fractal drums, and back. (English) Zbl 1423.28023 Niemeyer, Robert G. (ed.) et al., Horizons of fractal geometry and complex dimensions. 2016 summer school on fractal geometry and complex dimensions, in celebration of the 60th birthday of Michel Lapidus, California Polytechnic State University, San Luis Obispo, California, USA, June 21–29, 2016. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 731, 143-265 (2019). MSC: 28A80 11M06 11M41 28A12 30B50 30D10 35P20 81R40 PDFBibTeX XMLCite \textit{M. L. Lapidus}, Contemp. Math. 731, 143--265 (2019; Zbl 1423.28023) Full Text: DOI arXiv
Barnsley, M. F.; Vince, A. Self-similar tilings of fractal blow-ups. (English) Zbl 1427.52014 Niemeyer, Robert G. (ed.) et al., Horizons of fractal geometry and complex dimensions. 2016 summer school on fractal geometry and complex dimensions, in celebration of the 60th birthday of Michel Lapidus, California Polytechnic State University, San Luis Obispo, California, USA, June 21–29, 2016. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 731, 41-62 (2019). MSC: 52C22 37B51 PDFBibTeX XMLCite \textit{M. F. Barnsley} and \textit{A. Vince}, Contemp. Math. 731, 41--62 (2019; Zbl 1427.52014) Full Text: DOI arXiv
Zhou, Shengfan; Wu, Luyao; Su, Haijuan The random exponential attractor for non-autonomous FitzHugh-Nagumo lattice system with multiplicative white noise. (Chinese. English summary) Zbl 1438.37046 J. Zhejiang Norm. Univ., Nat. Sci. 42, No. 1, 1-8 (2019). MSC: 37L60 37L30 37L55 PDFBibTeX XMLCite \textit{S. Zhou} et al., J. Zhejiang Norm. Univ., Nat. Sci. 42, No. 1, 1--8 (2019; Zbl 1438.37046) Full Text: DOI
Zhou, Shengfan; Zhao, Min; Tan, Huirong Pullback and uniform exponential attractor for non-autonomous Schrödinger lattice equation. (Chinese. English summary) Zbl 1438.37047 Acta Math. Appl. Sin. 42, No. 2, 145-161 (2019). MSC: 37L60 37L30 35Q55 PDFBibTeX XMLCite \textit{S. Zhou} et al., Acta Math. Appl. Sin. 42, No. 2, 145--161 (2019; Zbl 1438.37047)
Mauduit, Christian; Moreira, Carlos Gustavo Complexity and fractal dimensions for infinite sequences with positive entropy. (English) Zbl 1430.68254 Commun. Contemp. Math. 21, No. 6, Article ID 1850068, 19 p. (2019). MSC: 68R15 11K55 28A78 28D20 37B10 37B40 PDFBibTeX XMLCite \textit{C. Mauduit} and \textit{C. G. Moreira}, Commun. Contemp. Math. 21, No. 6, Article ID 1850068, 19 p. (2019; Zbl 1430.68254) Full Text: DOI arXiv
Yue, Gaocheng Limiting behavior of trajectory attractors of perturbed reaction-diffusion equations. (English) Zbl 1420.35135 Discrete Contin. Dyn. Syst., Ser. B 24, No. 10, 5673-5694 (2019). MSC: 35K57 37L30 35B40 35B25 PDFBibTeX XMLCite \textit{G. Yue}, Discrete Contin. Dyn. Syst., Ser. B 24, No. 10, 5673--5694 (2019; Zbl 1420.35135) Full Text: DOI
You, Bo Pullback exponential attractors for the viscous Cahn-Hilliard-Navier-Stokes system with dynamic boundary conditions. (English) Zbl 1502.35134 J. Math. Anal. Appl. 478, No. 2, 321-344 (2019). MSC: 35Q35 35B41 35A01 28A80 37L30 PDFBibTeX XMLCite \textit{B. You}, J. Math. Anal. Appl. 478, No. 2, 321--344 (2019; Zbl 1502.35134) Full Text: DOI
Öberg, Anders; Tsougkas, Konstantinos The Kusuoka measure and the energy Laplacian on level-\(k\) Sierpiński gaskets. (English) Zbl 1423.28024 Rocky Mt. J. Math. 49, No. 3, 945-961 (2019). Reviewer: Symon Serbenyuk (Kyiv) MSC: 28A80 31A05 PDFBibTeX XMLCite \textit{A. Öberg} and \textit{K. Tsougkas}, Rocky Mt. J. Math. 49, No. 3, 945--961 (2019; Zbl 1423.28024) Full Text: DOI arXiv Euclid
Chai, Xiaojuan; Duan, Yonghong Finite-dimensional global attractor for globally modified Navier-Stokes equations with fractional dissipation. (English) Zbl 1430.35143 Ann. Pol. Math. 122, No. 2, 101-128 (2019). Reviewer: Rodica Luca (Iaşi) MSC: 35K65 35Q30 35B40 37L30 PDFBibTeX XMLCite \textit{X. Chai} and \textit{Y. Duan}, Ann. Pol. Math. 122, No. 2, 101--128 (2019; Zbl 1430.35143) Full Text: DOI
Santos, M. L.; Freitas, Mirelson M. Global attractors for a mixture problem in one dimensional solids with nonlinear damping and sources terms. (English) Zbl 1473.35063 Commun. Pure Appl. Anal. 18, No. 4, 1869-1890 (2019). Reviewer: Bixiang Wang (Socorro) MSC: 35B41 35B40 37L30 PDFBibTeX XMLCite \textit{M. L. Santos} and \textit{M. M. Freitas}, Commun. Pure Appl. Anal. 18, No. 4, 1869--1890 (2019; Zbl 1473.35063) Full Text: DOI
Lan, Yun; Shu, Ji Fractal dimension of random attractors for non-autonomous fractional stochastic Ginzburg-Landau equations with multiplicative noise. (English) Zbl 1415.37100 Dyn. Syst. 34, No. 2, 274-300 (2019). MSC: 37L55 37L30 60H15 35Q56 PDFBibTeX XMLCite \textit{Y. Lan} and \textit{J. Shu}, Dyn. Syst. 34, No. 2, 274--300 (2019; Zbl 1415.37100) Full Text: DOI
Lapidus, Michel L.; Radunović, Goran; Žubrinić, Darko Fractal tube formulas and a Minkowski measurability criterion for compact subsets of Euclidean spaces. (English) Zbl 1441.11234 Discrete Contin. Dyn. Syst., Ser. S 12, No. 1, 105-117 (2019). MSC: 11M41 28A75 28A80 28B15 42B20 40A10 PDFBibTeX XMLCite \textit{M. L. Lapidus} et al., Discrete Contin. Dyn. Syst., Ser. S 12, No. 1, 105--117 (2019; Zbl 1441.11234) Full Text: DOI arXiv
Alouini, Brahim Finite dimensional global attractor for a dissipative anisotropic fourth order Schrödinger equation. (English) Zbl 1411.35042 J. Differ. Equations 266, No. 9, 6037-6067 (2019). MSC: 35B41 35B40 35Q55 76B03 37L30 PDFBibTeX XMLCite \textit{B. Alouini}, J. Differ. Equations 266, No. 9, 6037--6067 (2019; Zbl 1411.35042) Full Text: DOI
Khellat, Farhad; Khormizi, Mahmud Beyk A global solution for a reaction-diffusion equation on bounded domains. (English) Zbl 1524.35083 Appl. Math. Nonlinear Sci. 3, No. 1, 15-22 (2018). MSC: 35B40 35B41 35B45 35K57 37L30 PDFBibTeX XMLCite \textit{F. Khellat} and \textit{M. B. Khormizi}, Appl. Math. Nonlinear Sci. 3, No. 1, 15--22 (2018; Zbl 1524.35083) Full Text: DOI
Rosenberg, Eric Generalized Hausdorff dimensions of a complex network. (English) Zbl 1514.05160 Physica A 511, 1-17 (2018). MSC: 05C82 28A80 PDFBibTeX XMLCite \textit{E. Rosenberg}, Physica A 511, 1--17 (2018; Zbl 1514.05160) Full Text: DOI
Stäger, D. V.; Herrmann, H. J. Self-similar space-filling sphere packings in three and four dimensions. (English) Zbl 1433.52024 Fractals 26, No. 3, Article ID 1850022, 21 p. (2018). MSC: 52C17 28A80 PDFBibTeX XMLCite \textit{D. V. Stäger} and \textit{H. J. Herrmann}, Fractals 26, No. 3, Article ID 1850022, 21 p. (2018; Zbl 1433.52024) Full Text: DOI arXiv
Bédaride, Nicolas; Hilion, Arnaud; Jolivet, Timo Topological substitution for the aperiodic Rauzy fractal tiling. (Substitution topologique pour le pavage fractal apériodique de Rauzy.) (English. French summary) Zbl 1448.05031 Bull. Soc. Math. Fr. 146, No. 3, 575-612 (2018). MSC: 05B45 37B52 52C20 52C22 PDFBibTeX XMLCite \textit{N. Bédaride} et al., Bull. Soc. Math. Fr. 146, No. 3, 575--612 (2018; Zbl 1448.05031) Full Text: DOI arXiv
Leung, Kimberly; Subramanian, Aneesh C.; Shen, Samuel S. P. Statistical characteristics of long-term high-resolution precipitable water vapor data at Darwin. (English) Zbl 1411.62340 Adv. Data Sci. Adapt. Anal. 10, No. 4, Article ID 1850010, 11 p. (2018). MSC: 62P12 62M10 62G32 37F35 PDFBibTeX XMLCite \textit{K. Leung} et al., Adv. Data Sci. Adapt. Anal. 10, No. 4, Article ID 1850010, 11 p. (2018; Zbl 1411.62340) Full Text: DOI
Li, Fang; You, Bo; Xu, Yao Dynamics of weak solutions for the three dimensional Navier-Stokes equations with nonlinear damping. (English) Zbl 1406.35232 Discrete Contin. Dyn. Syst., Ser. B 23, No. 10, 4267-4284 (2018). MSC: 35Q30 35B41 37L30 76D05 28A80 PDFBibTeX XMLCite \textit{F. Li} et al., Discrete Contin. Dyn. Syst., Ser. B 23, No. 10, 4267--4284 (2018; Zbl 1406.35232) Full Text: DOI
Roshchina, Vera; Sang, Tian; Yost, David Compact convex sets with prescribed facial dimensions. (English) Zbl 1403.52005 Wood, David R. (ed.) et al., 2016 MATRIX annals. Cham: Springer (ISBN 978-3-319-72298-6/hbk; 978-3-319-72299-3/ebook). MATRIX Book Series 1, 167-175 (2018). MSC: 52A20 PDFBibTeX XMLCite \textit{V. Roshchina} et al., MATRIX Book Ser. 1, 167--175 (2018; Zbl 1403.52005) Full Text: DOI arXiv
Vince, Andrew Global fractal transformations and global addressing. (English) Zbl 1403.28011 J. Fractal Geom. 5, No. 4, 387-418 (2018). Reviewer: George Stoica (Saint John) MSC: 28A80 05B45 52C22 PDFBibTeX XMLCite \textit{A. Vince}, J. Fractal Geom. 5, No. 4, 387--418 (2018; Zbl 1403.28011) Full Text: DOI
Kamenev, G. K. Method for constructing optimal dark coverings. (English. Russian original) Zbl 1490.60033 Comput. Math. Math. Phys. 58, No. 7, 1040-1048 (2018); translation from Zh. Vychisl. Mat. Mat. Fiz. 58, No. 7 (2018). MSC: 60D05 28A80 52C17 PDFBibTeX XMLCite \textit{G. K. Kamenev}, Comput. Math. Math. Phys. 58, No. 7, 1040--1048 (2018; Zbl 1490.60033); translation from Zh. Vychisl. Mat. Mat. Fiz. 58, No. 7 (2018) Full Text: DOI
Li, Xueli; Yin, Fuqi; Zhu, Xueke Fractal dimensions of random attractors for stochastic FitzHugh-Nagumo system. (Chinese. English summary) Zbl 1413.37054 J. Yunnan Univ., Nat. Sci. 40, No. 1, 1-11 (2018). MSC: 37L55 37L30 PDFBibTeX XMLCite \textit{X. Li} et al., J. Yunnan Univ., Nat. Sci. 40, No. 1, 1--11 (2018; Zbl 1413.37054)
Huang, Aimin; Huo, Wenru; Jolly, Michael Finite-dimensionality and determining modes of the global attractor for 2D Boussinesq equations with fractional Laplacian. (English) Zbl 1397.35312 Adv. Nonlinear Stud. 18, No. 3, 501-515 (2018). MSC: 35Q86 35R11 86A10 35D35 35B41 PDFBibTeX XMLCite \textit{A. Huang} et al., Adv. Nonlinear Stud. 18, No. 3, 501--515 (2018; Zbl 1397.35312) Full Text: DOI
Dong, Xi; Maguire, Shaun; Maloney, Alexander; Maxfield, Henry Phase transitions in 3D gravity and fractal dimension. (English) Zbl 1391.83076 J. High Energy Phys. 2018, No. 5, Paper No. 80, 41 p. (2018). MSC: 83C80 81T40 82B26 37F35 28A80 83D05 PDFBibTeX XMLCite \textit{X. Dong} et al., J. High Energy Phys. 2018, No. 5, Paper No. 80, 41 p. (2018; Zbl 1391.83076) Full Text: DOI arXiv
Grigor’yan, Alexander; Hu, Eryan; Hu, Jiaxin Two-sided estimates of heat kernels of jump type Dirichlet forms. (English) Zbl 1468.35081 Adv. Math. 330, 433-515 (2018). MSC: 35K08 31C25 31B05 PDFBibTeX XMLCite \textit{A. Grigor'yan} et al., Adv. Math. 330, 433--515 (2018; Zbl 1468.35081) Full Text: DOI
Moreira, Carlos Geometric properties of the Markov and Lagrange spectra. (English) Zbl 1404.11095 Ann. Math. (2) 188, No. 1, 145-170 (2018). Reviewer: Michel Waldschmidt (Paris) MSC: 11J06 11J70 28A78 37D20 PDFBibTeX XMLCite \textit{C. Moreira}, Ann. Math. (2) 188, No. 1, 145--170 (2018; Zbl 1404.11095) Full Text: DOI arXiv