Found 1,936 Documents (Results 1–100)
Coastlines violate the Schramm-Loewner evolution. (English) Zbl 07930378
MSC:
82-XX
Some measure-theoretic aspects of fractal functions: invariant measures and function spaces. (English) Zbl 07929382
On the decomposition of functions as sum and product in terms of various fractal dimensions. (English) Zbl 07928821
The intrinsic connection between the fractal dimension of a real number sequence and convergence or divergence of the series formed by it. (English) Zbl 07922112
Generalized fractional-order complex logistic map and fractals on FPGA. (English) Zbl 07918964
Lacarbonara, Walter (ed.), Advances in nonlinear dynamics. Proceedings of the third international nonlinear dynamics conference, NODYCON 2023, Rome, Italy, June 18–22, 2023. Volume III. Cham: Springer. NODYCON Conf. Proc. Ser., 371-380 (2024).
MSC:
37-XX
Tribo-dynamic modelling and analysis for a high-speed helical gear system with time-varying backlash and friction under elastohydrodynamic lubrication condition. (English) Zbl 07912439
MSC:
74-XX
A comprehensive discussion on various methods of generating fractal-like Bézier curves. (English) Zbl 07910915
On the Katugampola fractional integral and dimensional analysis of the fractal basin boundary for a random dynamical system. (English) Zbl 07908460
Generation and simplicity in the airplane rearrangement group. (English) Zbl 07903051
Reviewer: Sam Fisher (Oxford)
On a lower bound of Hausdorff dimension of weighted singular vectors. (English) Zbl 07890748
Reviewer: Symon Serbenyuk (Kyïv)
\(\varphi\)-contractive parent-child possibly infinite IFSs and orbital \(\varphi\)-contractive possibly infinite IFSs. (English) Zbl 07884564
An analytical approach for the analysis of stress wave transmission and reflection in waveguide systems based on Timoshenko beam theory. (English) Zbl 07881936
On the computation of geometric features of spectra of linear operators on Hilbert spaces. (English) Zbl 07875095
Incidence estimates for \(\alpha \)-dimensional tubes and \(\beta \)-dimensional balls in \(\mathbb{R}^2\). (English) Zbl 07871283
A toy model to explain the missing bounce windows in the kink-antikink collisions. (English) Zbl 07870589
The representation problem for a diffusion equation and fractal R-L ladder networks. (English) Zbl 07868794
Exploring iterated implicit function systems: existence and properties of attractors. (English) Zbl 07848359
Additive and geometric transversality of fractal sets in the integers. (English) Zbl 1541.11017
Reviewer: Jörg Neunhäuserer (Goslar)
Fractal interpolation over curves. (English) Zbl 07840358
Jha, Sangita (ed.) et al., Recent developments in fractal geometry and dynamical systems. AMS special session. Fractal geometry and dynamical systems, virtual, May 14–15, 2022. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 797, 61-73 (2024).
Density of states for the Anderson model on nested fractals. (English) Zbl 1541.82008
Reviewer: Nasir N. Ganikhodjaev (Tashkent)
A dichotomy for the dimension of SRB measure. (English) Zbl 07826186
Reviewer: Luis Hernández Corbato (Madrid)
Quantitative recurrence and the shrinking target problem for overlapping iterated function systems. (English) Zbl 07826167
Projection theorems using effective dimension. (English) Zbl 07825549
MSC:
68Q30
Why it is sufficient to consider only the case where the seed of linear cellular automata is 1. (English) Zbl 07814540
A variational principle in the parametric geometry of numbers. (English) Zbl 07794565
Reviewer: Takao Komatsu (Hangzhou)
Fractional cosmic strings. (English) Zbl 1533.83024
Comments on “Fractal set of generalized countable partial iterated function system with generalized contractions via partial Hausdorff metric”. (English) Zbl 07792359
Diffraction measures and patterns of the complex dimensions of self-similar fractal strings. I: The lattice case. (English) Zbl 07918260
Fractal dimensional analysis for retinal vascularization images in retinitis pigmentosa: a pilot study. (English) Zbl 07916503
Bountis, Tassos (ed.) et al., Chaos, fractals and complexity. Selected papers based on the presentations at the 8th summer school-conference on dynamical systems and complexity, Crete, Greece, July 18–26, 2022. Cham: Springer. Springer Proc. Complex., 139-152 (2023).
MSC:
37-XX
Optimization study of momentum investment strategies under asymmetric power-law distribution of return rate. (English) Zbl 07863055
Fractal dynamics and computational analysis of local fractional Poisson equations arising in electrostatics. (English) Zbl 1537.65153
Higher order belief divergence with its application in pattern classification. (English) Zbl 07832136
Positivity preserving rational quartic spline zipper fractal interpolation functions. (English) Zbl 07828005
Sharma, Rajesh Kumar (ed.) et al., Frontiers in industrial and applied mathematics. Selected papers based on the presentations at the 4th international conference, FIAM-2021, Punjab, India, December 21–22, 2021. Singapore: Springer. Springer Proc. Math. Stat. 410, 535-551 (2023).
Macroscopic limits of chaotic eigenfunctions. (English) Zbl 1541.37038
Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 5. Sections 9–11. Berlin: European Mathematical Society (EMS). 3704-3723 (2023).
Self-similar sets and measures on the line. (English) Zbl 07823079
Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 5. Sections 9–11. Berlin: European Mathematical Society (EMS). 3610-3634 (2023).
MSC:
28A80
A new type of zipper fractal interpolation surfaces and associated bivariate zipper fractal operator. (English) Zbl 07822495
Strong coupled fixed points and applications to fractal generations in fuzzy metric spaces. (English) Zbl 1532.54027
On the fractal interpolation functions associated with Matkowski contractions. (English) Zbl 07804360
Infinite orthogonal exponentials for a class of Moran measures. (English) Zbl 07786174
Reviewer: Wen-hui Ai (Changsha)
Yang-Fourier transforms of Lipschitz local fractional continuous functions. (English) Zbl 1532.42003
Asymptotic analysis of spectral problems in thick junctions with the branched fractal structure. (English) Zbl 1530.35018
A highly accurate artificial neural networks scheme for solving higher multi-order fractal-fractional differential equations based on generalized Caputo derivative. (English) Zbl 07772315
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)
New type of fractal functions for the general data sets. (English) Zbl 07754826
Reviewer: Peter Massopust (München)
Analytical and dimensional properties of fractal interpolation functions on the Sierpiński gasket. (English) Zbl 1522.28011
On the variable order fractional calculus of fractal interpolation functions. (English) Zbl 1522.26008
Chaotic dynamics of the fractional order Schnakenberg model and its control. (English) Zbl 1527.37100
Stress-dependent models for permeability and porosity of fractured rock based on fractal theory. (English) Zbl 07726806
Investigations on stress-dependent thermal conductivity of fractured rock by fractal theory. (English) Zbl 1526.74048
Scaling exponents for electrical resistance on higher-dimensional generalizations of fractal carpets and sponges. (English) Zbl 07726788
Construction of new affine and non-affine fractal interpolation functions through the Weyl-Marchaud derivative. (English) Zbl 1532.28015
Separation conditions for iterated function systems with overlaps on Riemannian manifolds. (English) Zbl 1529.28008
A fractal-fractional-order modified predator-prey mathematical model with immigrations. (English) Zbl 1540.92091
Combinatorial properties for a class of simplicial complexes extended from pseudo-fractal scale-free web. (English) Zbl 1517.05184
Macroscopic multi-fractality of Gaussian random fields and linear stochastic partial differential equations with colored noise. (English) Zbl 1518.60063
Reviewer: Udhayakumar Ramalingam (Vellore)
The structure of fuzzy fractals generated by an orbital fuzzy iterated function system. (English) Zbl 1518.28009
Reviewer: Husam Yahya Abdulwahed (Baghdad)
Spatial dimension of atoms arrangement as a function of temperature: a fractons’ functional. (English) Zbl 1538.74012
Quasiperiodic sets at infinity and meromorphic extensions of their fractal zeta functions. (English) Zbl 1524.11169
Fractal projections with an application in number theory. (English) Zbl 1527.11008
Reviewer: Lukas Spiegelhofer (Leoben)
Hausdorff dimensions of perturbations of a conformal iterated function system via thermodynamic formalism. (English) Zbl 1523.37032
Random walks, spectral gaps, and Khintchine’s theorem on fractals. (English) Zbl 1526.11040
Reviewer: Peter Massopust (München)
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).
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