Fractal Geometry and Stochastics V / / edited by Christoph Bandt, Kenneth Falconer, Martina Zähle
| Fractal Geometry and Stochastics V / / edited by Christoph Bandt, Kenneth Falconer, Martina Zähle |
| Edizione | [1st ed. 2015.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2015 |
| Descrizione fisica | 1 online resource (339 p.) |
| Disciplina | 514.742 |
| Collana | Progress in Probability |
| Soggetto topico |
Probabilities
Geometry Measure theory Probability Theory and Stochastic Processes Measure and Integration |
| ISBN | 3-319-18660-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Preface -- Introduction -- Part 1: Geometric Measure Theory -- Sixty Years of Fractal Projections -- Scenery flow, conical densities, and rectifiability -- The Shape of Anisotropic Fractals: Scaling of Minkowski Functionals -- Projections of self-similar and related fractals: a survey of recent developments -- Part 2: Self-similar Fractals and Recurrent Structures -- Dimension of the graphs of the Weierstrass-type functions -- Tiling Z2 by a set of four elements -- Some recent developments in quantization of fractal measures -- Apollonian Circle Packings -- Entropy of Lyapunov-optimizing measures of some matrix cocycles -- Part 3: Analysis and Algebra on Fractals -- Poincaré functional equations, harmonic measures on Julia sets, and fractal zeta functions -- From self-similar groups to self-similar sets and spectra -- Finite energy coordinates and vector analysis on fractals -- Fractal zeta functions and complex dimensions: A general higher-dimensional theory -- Part 4: Multifractal Theory -- Inverse problems in multifractal analysis -- Multifractal analysis based on p-exponents and lacunarity exponents -- Part 5: Random Constructions -- Dimensions of Random Covering Sets -- Expected lifetime and capacity. |
| Record Nr. | UNINA-9910299761803321 |
| Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2015 | ||
| Lo trovi qui: Univ. Federico II | ||
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Fractals, Wavelets, and their Applications : Contributions from the International Conference and Workshop on Fractals and Wavelets / / edited by Christoph Bandt, Michael Barnsley, Robert Devaney, Kenneth J. Falconer, V. Kannan, Vinod Kumar P.B
| Fractals, Wavelets, and their Applications : Contributions from the International Conference and Workshop on Fractals and Wavelets / / edited by Christoph Bandt, Michael Barnsley, Robert Devaney, Kenneth J. Falconer, V. Kannan, Vinod Kumar P.B |
| Edizione | [1st ed. 2014.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2014 |
| Descrizione fisica | 1 online resource (499 p.) |
| Disciplina | 515.2433 |
| Collana | Springer Proceedings in Mathematics & Statistics |
| Soggetto topico |
Geometry, Differential
Mathematical analysis Analysis (Mathematics) Geometry, Algebraic Differential Geometry Analysis Algebraic Geometry |
| ISBN | 3-319-08105-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Part I: Fractal Theory -- Introduction to Fractals -- Geometry of self similar sets -- An introduction to Julia and Fatou set -- Crazy topology in complex dynamics -- Measure preserving fractal homeomorphisms -- The dimension theory of almost self affine sets and measures -- Countable alphabet non autonomous self affine sets -- On transverse hyperplanes to self similar Jordan arcs -- Fractals in product fuzzy metric space -- Some properties on Koch curve -- Projections of Mandelbrot percolation in higher dimensions -- Some examples of finite type fractals in three dimensional space -- Fractals in partial metric spaces -- Part II: Wavelet Theory -- Frames and extension problems I -- Frames and extension problems II -- Local fractal functions and function spaces -- Some historical precedents of the fractal functions -- A new class of rational quadratic fractal function with positive shape preservation -- Interval wavelets determined by points on the circle -- Construction of multi scaling functions using matrix polynomials -- A remark on reconstruction of splines from their local weighted average samples -- C1rational cubic fractal interpolation surface using functional values -- On fractal rational functions -- Part III: Applications of Fractals and Wavelets -- Innovation on the tortuous path: Fractal Electronics -- Permutation entropy analysis of EEG of mild cognitive impairment patients during memory activation task -- A multifractal based image analysis for cervical dysplasia classification -- Self similar network traffic modeling using fractal point process Markovian approach -- Validation of variance based fitting for self similar network traffic -- Self similar network traffic modeling using circulant Markov modulated poisson process -- Investigation of priority based optical packet switch under self similar variable length input traffic using matrix queuing theory -- Computationally efficient wavelet domain solver for fluorescence diffuse optical tomography -- Implementation of wavelet based and discrete cosine based algorithms on panchromatic image -- Trend, time series and wavelet analysis of river water dynamics -- An efficient wavelet based approximation method to film – pore diffusion model arising in chemical engineering -- A new wavelet based hybrid method for Fisher type equations. |
| Record Nr. | UNINA-9910299976403321 |
| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2014 | ||
| Lo trovi qui: Univ. Federico II | ||
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