[PDF] Top 20 Regularity of functions: Genericity and multifractal analysis
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Regularity of functions: Genericity and multifractal analysis
... Multifractal analysis Hölder regularity and multifractal spectrum • Since h f (x) can change widely from a point to another, we will characterize the size of the sets of ... Voir le document complet
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About some notions of regularity for functions
... pointwise regularity by defining functional spaces that generalize both the ones of Hölder and Calderón and ...mean of wavelet coefficients, we establish a multifractal formalism ... Voir le document complet
219
Multifractal analysis of the divergence of Fourier series: the extreme cases
... quasi-all functions f ∈ C(T), for any β ∈ [0, 1], F (β, f ) is non-empty and has Hausdorff dimension ...view of the differences between L p (T), p ∈ (1, +∞), and C(T), it seems a priori not ... Voir le document complet
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p-exponent and p-leaders, Part II: Multifractal Analysis. Relations to Detrended Fluctuation Analysis
... t Multifractal analysis studies signals, functions, images or fields via the fluctuations of their local regularity along time or space, which capture crucial features of their ... Voir le document complet
22
Boundary multifractal behaviour for harmonic functions in the ball
... · Multifractal analysis · Genericity Mathematics Subject Classification (2000) 31B25 · 35C15 1 Introduction The story of this paper begins in 1906, when ...monic functions in the unit ... Voir le document complet
17
Multifractal analysis of the divergence of Fourier series
... 3. Multifractal analysis of the divergence of the Fourier series of functions of C(T) We turn to the proof of Theorem ...that of Section 2. First of ... Voir le document complet
20
MULTIFRACTAL PHENOMENA AND PACKING DIMENSION
... type of maximal inequality, then we build a saturating function verifying (ii) and finally we deduce ...different and involve arguments which seem very specific to the ...introduce ... Voir le document complet
33
Multifractal analysis and simulation of wind energy fluctuations
... problem and treating the non-linear term as a perturbation) will not ...beginning of the 20 th century, V. Bjerknes (1904) and then ...equations of thermodynamics with those of ... Voir le document complet
343
Bayesian multifractal analysis of multi-temporal images using smooth priors
... School of Engineering and Physical Sciences, Heriot-Watt University, Edinburgh, UK, ...Texture analysis can be conducted within the mathematical frame- work of multifractal ... Voir le document complet
6
Extending multifractal analysis to negative regularity: p-exponents and p-leaders
... applications and multifractal analysis has be- come the standard corresponding signal processing ...globally and geometrically the fluctuations of local regularity, usually ... Voir le document complet
6
Multifractal analysis of the interstellar medium: first application to Hi-GAL observations
... School of Physics and Astronomy, Cardiff University, Cardiff CF24 3AA, Wales, UK 0000-0002-6711-6345 Accepted ...The multifractal geometry remains an under-exploited approach to describe and ... Voir le document complet
24
Hyperbolic wavelet leaders for anisotropic multifractal texture analysis
... eling and analysis. Isotropic and self-similar fractional Brow- nian fields (2D-fBf) are often used as the natural reference process to model scale free ...Its analysis is standardly conducted ... Voir le document complet
6
Finite-Resolution Effects in p-Leader Multifractal Analysis
... estimation of c(1) by up to an order of ...impacts of finite-resolution effects and the impor- tance of using corrected p-leader scaling exponent analysis is illustrated on heart ... Voir le document complet
11
P-Leader Multifractal Analysis for Text Type Identification
... We use the recently-introduced p-leader multifractal formalism to analyze a corpus of novels written for adults and young adults, with the goal of assessing if a difference in style can [r] ... Voir le document complet
6
The Areal Reduction Factor (ARF) : a multifractal analysis
... 4.3 Effect of bounded cascade modeling and sparse sampling on the ARF In Chapter 3 we investigated the scaling properties of the ARF with the maximum linear size of the re[r] ... Voir le document complet
117
Multifractal spectra of typical and prevalent measures
... with genericity in the sense of Baire ...notions of genericity. In particular, genericity in the sense of prevalence has been proved to be relevant in multifractal ... Voir le document complet
16
Regularity of many-body Schrödinger evolution equation and its application to numerical analysis
... independent of t and selfadjoint, the Stone theorem guarantees the existence and uniqueness of the unitary group U 0 pt, sq “ expp´ipt ´ sqH 0 q such that U 0 H 2 pR N q Ă H 2 pR N ...formula ... Voir le document complet
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Bayesian multifractal analysis of multi-temporal images using smooth priors
... where w j are appropriate regression weights [4, 9, 11]. This esti- mator is widely used and known to provide relatively poor perfor- mance, in particular for small image size. Different attempts to improve ... Voir le document complet
7
Convergence and divergence of wavelet series: multifractal aspects
... Because of Proposition ...because of part (i), there is nothing to do for β = d p − ...Residuality of multifractal functions - the divergence ...part of Theorem 1.1 (ii). Again ... Voir le document complet
33
The Average case analysis of algorithms : counting and generating functions
... L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d’enseignemen[r] ... Voir le document complet
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