- On nonlinear iterated function systems with overlaps
2024/01/07 by Boris Solomyak, Solomyak, Boris · 1 citation
Biochemistry, Genetics and Molecular Biology · Mathematics · #28A80 #37E05 #Attractor #Caveolin-1 and cellular processes #Conformal map #Dimension (graph theory) #Dynamical Systems (math.DS) #FOS: Mathematics #Fixed point #Function (biology) #Geometry #Iterated function #Iterated function system #Line (geometry) #Mathematical Dynamics and Fractals #Mathematical analysis #Mathematics #Nonlinear system #Physics #Pure mathematics
- 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
- Increasing digit subsystems of infinite iterated function systems
2010/10/25 by Thomas Jordan, Jordan, Thomas, Michal Rams +1 · 1 citation
Mathematics · #Combinatorics #Dimension (graph theory) #Dimension function #Discrete mathematics #Dynamical Systems (math.DS) #FOS: Mathematics #Fractal #Fractal dimension #Function (biology) #Hausdorff dimension #Hausdorff space #Iterated function #Iterated function system #Mathematical Dynamics and Fractals #Mathematical analysis #Mathematics #Minkowski–Bouligand dimension #Packing dimension #math.DS
- The Hutchinson-Barnsley theory for infinite iterated function systems
2005/12/01 by Gertruda Gwóźdź-Lukawska, Gertruda Gwóźdź-Łukawska, Jacek Jachymski · 3 citations
Mathematics · #Attractor #Bounded function #Combinatorics #Compact space #Discrete mathematics #Finite set #Fixed point #Functional Equations Stability Results #Geometry #Invariant (physics) #Iterated function #Iterated function system #Mathematical Dynamics and Fractals #Mathematical analysis #Mathematical physics #Mathematics #Pure mathematics #Regular polygon #Separable space #advanced mathematical theories
- Fractals in the Large
1998/06/01 by Robert S. Strichartz · 7 citations
Computer Science · Mathematics · #Combinatorics #Discrete mathematics #Expansive #Fractal #Invariant (physics) #Invariant measure #Iterated function system #Mathematical Dynamics and Fractals #Mathematical analysis #Mathematics #Measure (data warehouse) #Metric space #Pure mathematics #Topological and Geometric Data Analysis #advanced mathematical theories
- Iterated function system and diffusion in the presence of disorder and traps
1995/03/15 by Thomas Wichmann, Achille Giacometti, K. P. N. Murthy · 1 citation
Mathematics · Physics and Astronomy · #Anomalous diffusion #Computer science #Ergodic theory #Fractal #Invariant (physics) #Invariant measure #Iterated function #Iterated function system #Jump #Lattice (music) #Mathematical analysis #Mathematical physics #Mathematics #Measure (data warehouse) #Multifractal system #Nonlinear system #Physics #Probability measure #Pure mathematics #Quantum chaos and dynamical systems #Quantum mechanics #Statistical physics #Theoretical and Computational Physics #Trapping #cond-mat #stochastic dynamics and bifurcation