- Collision times of multivariate Bessel processes with their Weyl chambers' boundaries and their Hausdorff dimension
2023/12/09 by Nicole Hufnagel, Sergio Andraus, Hufnagel, Nicole +1 · 1 citation
Biochemistry, Genetics and Molecular Biology · Mathematics · #28A78 #33C52 #60G18(primary) #82C22 #82M60(secondary) #Bessel function #Boundary (topology) #Diffusion and Search Dynamics #Dimension (graph theory) #Effective dimension #FOS: Mathematics #FOS: Physical sciences #Hausdorff dimension #Hausdorff space #Mathematical Physics (math-ph) #Mathematical analysis #Mathematics #Piecewise #Probability (math.PR) #Pure mathematics #Random Matrices and Applications #Statistical Mechanics (cond-mat.stat-mech) #Statistical Methods and Bayesian Inference
- Hölder differentiability of self-conformal devil's staircases
2013/01/07 by Sascha Troscheit, SASCHA TROSCHEIT · 1 citation
Mathematics · Physics and Astronomy · #Differentiable function #Dimension function #Effective dimension #Hausdorff dimension #Hausdorff distance #Hausdorff measure #Iterated function system #Mathematical Dynamics and Fractals #Multifractal system #Probability distribution #Probability measure #Statistical Mechanics and Entropy #Theoretical and Computational Physics #math.DS #msc:26A27 #msc:28A80 #msc:37C45 #msc:37D35
- On the Hausdorff Dimension of the Mather Quotient
2007/11/08 by Albert Fathi, Fathi, Albert, Alessio Figalli +3 · 1 citation
Mathematics · Physics and Astronomy · #Dimension (graph theory) #Dynamical Systems (math.DS) #Effective dimension #FOS: Mathematics #Geometric and Algebraic Topology #Hausdorff dimension #Hausdorff measure #Hausdorff space #Mathematical Dynamics and Fractals #Mathematics #Pure mathematics #Quantum chaos and dynamical systems #Quotient #math.DS
- One-sided multifractal analysis and points of non-differentiability of devil's staircases
2004/01/01 by K. J. Falconer · 3 citations
Mathematics · #Mathematical Dynamics and Fractals #Multifractal system #Hausdorff dimension #Differentiable function #Mathematics #Dimension (graph theory) #Context (archaeology) #Fractal dimension #Property (philosophy) #Set (abstract data type) #Dimension function #Effective dimension #Function (biology) #Affine transformation #Pure mathematics #Fractal #Mathematical analysis #Computer science #Geology
- Suboptimal minimum cluster volume cover-based method for measuring fractal dimension
2003/01/01 by Charles R. Tolle, Timothy McJunkin, David Gorsich · 1 citation
Physics and Astronomy · Mathematics · Computer Science · #Theoretical and Computational Physics #Mathematical Dynamics and Fractals #Image Retrieval and Classification Techniques #Box counting #Mathematics #Fractal dimension #Fractal #Algorithm #Minkowski–Bouligand dimension #Dimension (graph theory) #Cluster analysis #Estimator #Cover (algebra) #Effective dimension #Hausdorff dimension #Fractal analysis #Statistics #Combinatorics #Mathematical analysis
- Hausdorff dimension and conformal dynamics, III: Computation of dimension
1998/08/01 by Curtis T. McMullen · 1 citation
Mathematics · #Mathematical Dynamics and Fractals #Analytic and geometric function theory #Advanced Differential Equations and Dynamical Systems #Mathematics #Hausdorff dimension #Julia set #Dimension (graph theory) #Geodesic #Rational function #Conformal map #Eigenvalues and eigenvectors #Minkowski–Bouligand dimension #Combinatorics #Effective dimension #Pure mathematics #Mathematical analysis #Fractal #Fractal dimension
- The rate-distortion dimension of sets and measures
1994/01/01 by Tsutomu Kawabata, Amir Dembo · 2 citations
Mathematics · Computer Science · #Mathematical Dynamics and Fractals #Computability, Logic, AI Algorithms #Chaos-based Image/Signal Encryption #Minkowski–Bouligand dimension #Mathematics #Packing dimension #Hausdorff dimension #Dimension (graph theory) #Distortion (music) #Fractal dimension #Effective dimension #Dimension function #Upper and lower bounds #Combinatorics #Inductive dimension #Metric (unit) #Sufficient dimension reduction #Distribution (mathematics) #Fractal #Discrete mathematics #Mathematical analysis #Computer science
- Fractal Geometry: Mathematical Foundations and Applications.
1990/09/01 by K. Falconer, K. J. Falconer · 415 citations
Mathematics · #Brownian motion #Computer science #Dimension function #Dynamical systems theory #Effective dimension #Fractal #Fractal analysis #Fractal dimension #Fractal dimension on networks #Fractal landscape #Fractional Brownian motion #Hausdorff dimension #Hausdorff measure #Julia set #Mandelbrot set #Mathematical Dynamics and Fractals #Mathematical analysis #Mathematics #Measure (data warehouse) #Multifractal system
- Evaluating the fractal dimension of profiles
1989/02/01 by Benoit Dubuc, J.F. Quiniou, C. Roques‐Carmes +2 · 4 citations
Mathematics · Physics and Astronomy · Computer Science · #Mathematical Dynamics and Fractals #Theoretical and Computational Physics #Digital Image Processing Techniques #Minkowski–Bouligand dimension #Fractal dimension #Dimension (graph theory) #Effective dimension #Mathematics #Hausdorff dimension #Fractal dimension on networks #Fractional Brownian motion #Multifractal system #Fractal #Fractal analysis #Mandelbrot set #Mathematical analysis #Dimension function #Intersection (aeronautics) #Fractal landscape #Correlation dimension #Brownian motion #Pure mathematics #Statistics
- Dimensionality of Strange Attractors Determined Analytically
1986/09/22 by Kwok Yeung Tsang · 1 citation
Mathematics · Physics and Astronomy · #Mathematical Dynamics and Fractals #Chaos control and synchronization #Quantum chaos and dynamical systems #Attractor #Hausdorff dimension #Curse of dimensionality #Cartesian product #Cantor set #Set (abstract data type) #Dimension (graph theory) #Product (mathematics) #Hausdorff space #Effective dimension #Fractal dimension #Cartesian coordinate system #Pure mathematics #Fractal #Mathematics #Mathematical analysis #Statistical physics #Physics #Computer science #Geometry #Discrete mathematics #Statistics
- Gaussian sample functions and the Hausdorff dimension of level crossings
1970/01/01 by Steven Orey · 2 citations
Computer Science · Mathematics · #Bayesian Methods and Mixture Models #Combinatorics #Dimension (graph theory) #Dimension function #Discrete mathematics #Effective dimension #Fractal #Fractal dimension #Function (biology) #Gaussian #Gaussian process #Graph #Hausdorff dimension #Hausdorff measure #Hausdorff space #Mathematical analysis #Mathematics #Minkowski–Bouligand dimension #Morphological variations and asymmetry #Packing dimension #Physics #Quantum mechanics