INHERENT FEATURES OF FRACTAL SETS AND KEY ATTRIBUTES OF FRACTAL MODELS
From MaRDI portal
Publication:5086265
DOI10.1142/S0218348X22500827zbMath1501.28007OpenAlexW4288889017MaRDI QIDQ5086265
Alexander S. Balankin, Julián Patiño-Ortiz, Miguel Patiño-Ortiz
Publication date: 5 July 2022
Published in: Fractals (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0218348x22500827
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Fractal curvature measures and Minkowski content for self-conformal subsets of the real line
- Fractal topology foundations
- Topological invariants and Lipschitz equivalence of fractal squares
- Polymers with spatial or topological constraints: theoretical and computational results
- Embeddings of self-similar ultrametric Cantor sets
- The imbedding problem for Riemannian manifolds
- Topology in fractals.
- Effects of ramification and connectivity degree on site percolation threshold on regular lattices and fractal networks
- Quasiconformal dimensions of selfsimilar fractals
- Upper and lower bounds on the Renyi dimensions and the uniformity of multifractals
- Embedology
- Modelling transport in disordered media via diffusion on fractals.
- Towards a physics on fractals: differential vector calculus in three-dimensional continuum with fractal metric
- Manhattan property of geodesic paths on self-affine carpets
- The topological Hausdorff dimension and transport properties of Sierpiński carpets
- Topological Hausdorff dimension and geodesic metric of critical percolation cluster in two dimensions
- Sub- and super-diffusion on Cantor sets: beyond the paradox
- Box-counting dimensions of generalised fractal nests
- Noteworthy fractal features and transport properties of Cantor tartans
- Fractal curves and rugs of prescribed conformal dimension
- Estimation of fractal dimension through morphological decomposition
- A dimension drop phenomenon of fractal cubes
- Fractional space approach to studies of physical phenomena on fractals and in confined low-dimensional systems
- Differential box counting methods for estimating fractal dimension of gray-scale images: a survey
- On a new measure on fractals
- Physics in space-time with scale-dependent metrics
- Minkowski content and fractal curvatures of self-similar tilings and generator formulas for self-similar sets
- A new fractal dimension: the topological Hausdorff dimension
- Distances in Sierpiński graphs and on the Sierpiński gasket
- Mixed labyrinth fractals
- Electromagnetic fields and waves in fractional dimensional space
- The spectral dimension of generic trees
- The art of random walks.
- On the geometry of metric measure spaces. I
- Geodesic distances and intrinsic distances on some fractal sets
- The self-intersections of a smooth \(n\)-manifold in \(2n\)-space
- Equivalence of positive Hausdorff measure and the open set condition for self-conformal sets
- EXAMPLES OF USING BINARY CANTOR SETS TO STUDY THE CONNECTIVITY OF SIERPIŃSKI RELATIVES
- CANTOR-TYPE SETS IN HYPERBOLIC NUMBERS
- Assouad type dimensions for self-affine sponges
- Curvature Measures
- Harmonic Coordinates on Fractals with Finitely Ramified Cell Structure
- On the Lipschitz equivalence of Cantor sets
- Brownian Motion and Harmonic Analysis on Sierpinski Carpets
- Stochastic Models That Separate Fractal Dimension and the Hurst Effect
- Random walks on graphs: ideas, techniques and results
- Statistics of cycles: how loopy is your network?
- Fractal curvature measures of self-similar sets
- GEODESICS OF THE SIERPINSKI GASKET
- WHEN DOES A BEDFORD–MCMULLEN CARPET HAVE EQUAL HAUSDORFF AND TOPOLOGICAL HAUSDORFF DIMENSIONS?
- FROM FRACTAL TO A GENERALIZED FRACTAL: NON-POWER-FUNCTION STRUCTAL METRIC
- A CONVEX SURFACE WITH FRACTAL CURVATURE
- CONNECTEDNESS OF A CLASS OF SELF-AFFINE CARPETS
- A LOWER BOUND OF TOPOLOGICAL HAUSDORFF DIMENSION OF FRACTAL SQUARES
- The μ-topological Hausdoff dimension
- Topological Hausdorff dimension of fractal squares and its application to Lipschitz classification
- ON THE TOPOLOGICAL CLASSIFICATION OF FRACTAL SQUARES
- Self‐similar sets, simple augmented trees and their Lipschitz equivalence
- CONNECTIVITY PROPERTIES OF SIERPIŃSKI RELATIVES
- The spectral dimension of random brushes
This page was built for publication: INHERENT FEATURES OF FRACTAL SETS AND KEY ATTRIBUTES OF FRACTAL MODELS
