Keywords: primary; 28A80; 30L10; secondary; 28A78; 54F45; Metric space; Cantor sets; Hausdorff dimension; Conformal dimension; Topological dimension; Quasisymmetric map;
مقالات ISI (ترجمه نشده)
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Keywords: Katugampola fractional calculus; Bounded variation; Unbounded variation point; Hausdorff dimension; Box dimension; 28A80; 28A78; 26A33; 26A45;
Keywords: primary; 28A78; 28A80; secondary; 37A45; 42A38; Absolute continuity; Self-similar measures; Random measures; Convolutions;
Keywords: 35B05; 35R35; 35J60; 35B60; 28A78; Sublinear equations; Unstable two-phase obstacle problem; Nodal set; Nondegeneracy; Stratification;
Keywords: 28A78; 28A80; 60F10; 60G42; 60G57; 60K40; Mandelbrot measures; Hausdorff dimension; Multifractals; Phase transitions; Large deviations; Branching random walk in a random environment;
Keywords: fractal set; integral; Hausdorff measure; 28A25; 28A78; 28D99;
Keywords: Hausdorff and packing measures; Hausdorff and packing dimensions; Relative multifractal analysis; 28A78; 28A80;
Keywords: primary; 28A75; 49Q15; secondary; 26B15; 28A78; Perimeter of sets; Measure-theoretic boundary; Integralgeometric measure;
Keywords: primary; 28A80; secondary; 28A78; Self-similar measure; Singular measure; Dimension conservation;
Keywords: 28A78; Hausdorff dimension; Angle; Distance set; Excluded configurations;
Keywords: primary; 28A78; secondary; 28A80; Hyperbolic graphs; Hyperbolic boundaries; Iterated function systems; Self-similar sets; Open set condition; Weak separation condition;
Keywords: Fractal; Fractal structure; Box-counting dimension; Hausdorff dimension; IFS-attractor; Counterexample37F35; 28A78; 28A80; 54E99
Keywords: 28A78; 28A80; 11K16Middle-third Cantor set; Self-similar subsets; Ternary expansions; Set of uniqueness
Keywords: 30C85; 31A15; 28A78; 28A80Harmonic measures; Hausdorff measures; Cantor sets
Keywords: 11K55; 28A78; 28A80GCFϵGCFϵ expansion; Parameter function; Engel series expansion; Arithmetic properties; Hausdorff dimension
Keywords: 28A80; 28A78; 42B05Affine iterated function systems; Frame measures; Gabor orthonormal bases; Hausdorff measures; Spectral measures; Tight frames
Keywords: 28A78; 37C45; 81Q10; Sturm Hamiltonian; Fractal dimensions; Gibbs like measure; Cookie-Cutter-like;
The Hausdorff dimension of multivariate operator-self-similar Gaussian random fields
Keywords: primary; 60G60; secondary; 28A78; 28A80; 60G15; 60G17; 60G18; Fractional random fields; Gaussian random fields; Operator-self-similarity; Modulus of continuity; Hausdorff dimension;
Small unions of affine subspaces and skeletons via Baire category
Keywords: 28A78; 54E52; Hausdorff dimension; Baire category;
Differentiability and Hölder spectra of a class of self-affine functions
Keywords: primary; 26A27; 26A16; secondary; 28A78; 26A30; Continuous nowhere differentiable function; Self-affine function; Space-filling curve; Pointwise Hölder spectrum; Multifractal formalism; Hausdorff dimension;
A class of iterated function systems with adapted piecewise constant transition probabilities: Asymptotic stability and Hausdorff dimension of the invariant measure
Keywords: Iterated function systems; Markov operators; Invariant measure; Asymptotic stability; Hausdorff dimension; Fractals; 60J05; 37B10; 37A30; 28A78; 28A80;
Explicit Salem sets in R2
Keywords: 11J83; 28A78; 28A80; 42A38; 42B10; Hausdorff dimension; Fourier dimension; Salem sets;
A model for the quasistatic growth of cracks with fractional dimension
Keywords: primary; 49J45; secondary; 74R10; 49J40; 28A78; Fracture mechanics; Quasistatic evolution; Fractional dimension;
On the distance sets of Ahlfors-David regular sets
Keywords: primary; 28A80; secondary; 28A78; Distance sets; Packing dimension; Entropy;
Ï-Finiteness of elliptic measures for quasilinear elliptic PDE in space
Keywords: 35J25; 35J70; 37F35; 28A78; Hausdorff Dimension of a Borel measure; Hausdorff measure; Hausdorff dimension; The four-corner Cantor set; Quasilinear elliptic PDEs;
Differentiability of Lq-spectrum and multifractal decomposition by using infinite graph-directed IFSs
Keywords: 28A80; 28A78; Lq-spectrum; Multifractal formalism; Infinite graph-directed iterated function system; Generalized finite type condition; Hausdorff dimension;
Lower bounds of the Hausdorff dimension for the images of Feller processes
Keywords: primary; 60G17; secondary; 60J75; 60J25; 28A78; 35S05; Feller process; Pseudo-differential operator; Symbol; Hausdorff dimension; Blumenthal-Getoor index;
PCF self-similar sets and fractal interpolation
Keywords: 28A78; 58E20Post critically finite set; Self-similar structure; Iterated function system; Harmonic function on a fractal
Multifractal analysis of Bernoulli convolutions associated with Salem numbers
Keywords: primary; 28A78; secondary; 28A80; 11K16; Bernoulli convolutions; Salem numbers; Self-similar measures; Self-conformal measures; Hausdorff dimension; Multifractal formalism;
Projection and slicing theorems in Heisenberg groups
Keywords: Primary; 28A78; 53C17; Secondary; 28A75; 31E05; 53D12; Hausdorff dimension; Heisenberg group; Isotropic Grassmannian; Projection; Potential theory;
Extracting information is hard: A Turing degree of non-integral effective Hausdorff dimension
Keywords: primary; 03D32; secondary; 68Q30; 28A78; Effective Hausdorff dimension; Turing degrees;
On the Beurling dimension of exponential frames
Keywords: 28A80; 28A78; 42B05; Fractal; Iterated function system; Frame; Hausdorff dimension; Beurling dimension;
The graph and range singularity spectra of b-adic independent cascade functions
Keywords: 26A30; 28A78; 28A80; Multifractal analysis; Independent cascade function; Hausdorff dimension; Graph; Range; Singularity spectrum;
Typical behavior of mixed Lq-dimensions
Keywords: 28A80; 28A78; Mixed Lq-dimension; Baire category; Residual set;
The minimum of the upper convex density of the product of the Cantor set with itself
Keywords: 28A78; 28A30; 58F99Hausdorff measure; Upper convex density; Self-similar set
The lower quantization coefficient of the F-conformal measure is positive
Keywords: 28A78; 60Exx; Quantization coefficient; Conformal iterated function system;
A Cassels-Schmidt theorem for non-homogeneous Markov chains
Keywords: 11K16; 42A38; 60J10; 28A78; 37A45; Normal numbers; Non-homogeneous Markov chains; Fourier-Stieltjes transform; Hausdorff dimension;
Comparing the uniformity invariants of null sets for different measures
Keywords: 03E17; 28A78; Lebesgue measure; Hausdorff measure; Null set; Proper forcing; Product forcing; Uniformity cardinal invariant;
Minimal Riesz energy point configurations for rectifiable d-dimensional manifolds
Keywords: primary 11K41; 70F10; 28A78; secondary 78A30; 52A40; Minimal discrete Riesz energy; Best-packing; Hausdorff measure; Rectifiable manifolds; Uniform distribution of points on a sphere; Power law potential;
Covering numbers of different points in Dvoretzky covering
Keywords: primary; 28A78; secondary; 60G44; 60G57; Random covering; Hausdorff dimension; Multifractal analysis; Poisson point processes; Random measures; Compound Poisson cascades; Martingales;