Keywords: Continued fraction system; Metric theory; Hausdorff dimension; 11K55; 11J83; 28A80;
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Keywords: 40A05; 11B05; 28A75; 28A80; Cantorval; Achievement set; Attractor of IFS;
Keywords: Fractals; Graph-directed iterated function system; Smallest enclosing disk; 28A80; 28A99;
Keywords: Large-scale structure; Galaxy clustering; Observational holes; Multifractal analysis; 85A40; 85A35; 28A80;
Keywords: Katugampola fractional calculus; Bounded variation; Unbounded variation point; Hausdorff dimension; Box dimension; 28A80; 28A78; 26A33; 26A45;
Keywords: primary; 28A80; 30L10; secondary; 28A78; 54F45; Metric space; Cantor sets; Hausdorff dimension; Conformal dimension; Topological dimension; Quasisymmetric map;
Keywords: 28A80; 42C05; Beurling dimension; Fourier-Bessel measure; Fourier-frame; Hausdorff dimension;
Keywords: 28A75; 28A80; 42A99; Beta numbers; Jones' square function; Rectifiability of measures;
Keywords: primary; 11K50; secondary; 37E05; 28A80; Hausdorff dimension; Sums of partial quotients; Continued fractions;
Keywords: 28A80; 42C05; 42A85; 42B05; Bernoulli convolutions; Random convolutions; Spectral measures; Spectra;
Keywords: primary; 42C40; 40A30; secondary; 28A80; Baire genericity; Besov sequence spaces; Divergence properties; Hausdorff dimension; Lineability; Prevalence;
Keywords: primary; 28A78; 28A80; secondary; 37A45; 42A38; Absolute continuity; Self-similar measures; Random measures; Convolutions;
Keywords: primary; 28A80; secondary; 30L05; 26A21; Assouad dimension; Lower dimension; Box-counting dimension; Continuity; Measureability; Unwinding spirals;
Keywords: 28A78; 28A80; 60F10; 60G42; 60G57; 60K40; Mandelbrot measures; Hausdorff dimension; Multifractals; Phase transitions; Large deviations; Branching random walk in a random environment;
Keywords: Point set; Correlation dimension; Power spectrum; Rotation; Monte Carlo; 28A80; 65P20;
Keywords: Fractal calculus; Triadic Cantor set; Fractal Picard iteration; Fractal metric space; Fractal Cauchy sequence; 26A33; 28A80; 34A08;
Genericity of dimension drop on self-affine sets
Keywords: primary; 28A80; secondary; 37C45; 37D35; Thermodynamic formalism; Singular value function; Products of matrices; Self-affine set;
Keywords: Hausdorff and packing measures; Hausdorff and packing dimensions; Relative multifractal analysis; 28A78; 28A80;
Keywords: self-similar measures; Fourier transforms; decay rate; normal numbers; 28A80; 42A38; 37A45;
Keywords: Packing measure; Centered Hausdorff measure; Self-similar sets; Computability of fractal measures; Rate of convergence; Primary: 28A75; 28A80;
Keywords: 14Q05; 26B05; 28A75; 28A80; 51M25; 52A38; Fractal; Dendrite; Tree; Graph; Path length; SierpiÅski carpets;
Keywords: primary; 28A80; secondary; 42C05; 46C05; Orthonormal set; Spectral measure; Fourier transform; Zeros;
Keywords: Julia sets; heat kernel; resistance metric; 28A80; 35K08;
Keywords: primary; 28A80; secondary; 28A78; Self-similar measure; Singular measure; Dimension conservation;
Keywords: 42B10; 28A80; 42C30; Spectral measure; Infinite convolution; Tile; Self-affine;
Keywords: primary; 28A78; secondary; 28A80; Hyperbolic graphs; Hyperbolic boundaries; Iterated function systems; Self-similar sets; Open set condition; Weak separation condition;
Keywords: primary; 03C64; secondary; 03C45; 03E15; 28A05; 28A75; 28A80; 54F45; Hausdorff dimension; Topological dimension; Packing dimension; Expansions of the real ordered additive group; Tame geometry; Marstrand projection theorem;
Keywords: 28A80; 65Nxx; 78A45; 86A35; Wave equation; Simulation; Fractal scattering; Multiple scattering; Soil; Carbonates;
Keywords: primary; 28A80; 60J10; secondary; 60J50; Dirichlet form; Hyperbolic boundary; Martin boundary; Naïm kernel; Self-similar set; Reversible random walk;
Keywords: primary; 35K08; secondary; 28A80; 60J35; Non-local Dirichlet form; Heat kernel; Lower estimate;
Keywords: Relative Hausdorff dimension; Relative packing dimension; Projection; Relative multifractal analysis; 28A20; 28A80;
Keywords: Fractal; Fractal structure; Box-counting dimension; Hausdorff dimension; IFS-attractor; Counterexample37F35; 28A78; 28A80; 54E99
Keywords: Wavy spiral; Bessel equation; Generalized Bessel equation; Box dimension; Phase dimension; 37C45; 34C15; 28A80;
Keywords: Moran-type sets; dimension function; level set; logarithmical equivalence28A78; 28A80
Keywords: primary; 11K55; secondary; 28A80; Beta-dynamical system; Diophantine approximation; Shrinking target problem; Mass transference principle; Hausdorff dimension;
Keywords: 82C40; 60J75; 28A80; Kinetic theory; Boltzmann equation; Multifractal analysis;
Keywords: 37H15; 37F40; 28A80; 28D05; 37C45; 37A35; Random iterated function systems; Countable alphabet; Infinite systems with overlaps; Invariant measures; Lyapunov exponents; Random continued fractions; Kahane-Salem sets; Infinite IFS in the plane with disc ov
Keywords: 28A80; 57M50; 57N45; 55U10; 57Q25Self-affine tile; Tiling; 3-manifold; Geometric topology
Keywords: 60J65; 60G17; 28A80; 43A46; 42B10; Brownian motion; Rapid points; Hausdorff dimension; Fourier dimension; Salem set;
Keywords: 28A80; 42C05; 42C40Spectral measure; Homogeneous Cantor set; Hausdorff dimension; Bernoulli convolution
Keywords: 28A80; 42C05Admissible pairs; Compatible pairs; Convolution of measures; Moran measures; Self-similar measures; Spectral measures; Universally admissible
Keywords: Fractal interpolation; Blending functions; Bicubic partially blended fractal surface; Convergence; Positivity; Monotonicity; 28A80; 26C15; 41A05; 41A29; 65D05;
Keywords: 11K55; 28A80; Dynamical Diophantine approximation; β-Expansion; Formal Laurent series; Hausdorff dimension;
Keywords: 28A78; 28A80; 11K16Middle-third Cantor set; Self-similar subsets; Ternary expansions; Set of uniqueness
Keywords: 65D05; 65D07; 65D10; 41A20; 28A80; Spline; Rational spline; Rational fractal interpolation; Convergence; Convexity;
Keywords: 28A80; 28A78; 42B05Affine iterated function systems; Frame measures; Gabor orthonormal bases; Hausdorff measures; Spectral measures; Tight frames
Keywords: 42A16; 11J83; 26A16; 11L07; 28A80; Spectrum of singularities; Multifractal function; Diophantine approximation; Exponential sums;
Keywords: 49Q20; 28A80; 49N60Optimal transport problems; Irrigation models; Fractal; Regularity
Keywords: 68Q30; 03D32; 28A80; 03D78Effective dimension; Random self-similar fractal; Dimension spectra
Dendrite-type attractors of IFSs formed by two injective functions
Keywords: Attractor; Iterated function system; Dendrite; Connected component; 28A80;