Fractal Wavelet Dimensions and Time Evolution
Holschneider, Matthias
Les rencontres physiciens-mathématiciens de Strasbourg -RCP25, Tome 46 (1994), p. 61-80 / Harvested from Numdam
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Publié le : 1994-01-01
@article{RCP25_1994__46__61_0,
     author = {Holschneider, Matthias},
     title = {Fractal Wavelet Dimensions and Time Evolution},
     journal = {Les rencontres physiciens-math\'ematiciens de Strasbourg -RCP25},
     volume = {46},
     year = {1994},
     pages = {61-80},
     language = {en},
     url = {http://dml.mathdoc.fr/item/RCP25_1994__46__61_0}
}

Holschneider, Matthias. Fractal Wavelet Dimensions and Time Evolution. Les rencontres physiciens-mathématiciens de Strasbourg -RCP25, Tome 46 (1994) pp. 61-80. http://gdmltest.u-ga.fr/item/RCP25_1994__46__61_0/

1. Arnéodo A., Grasseau G., Holschneider M. (1988), On the wavelet transform of multifractals, Phys. Rev. Letters 61, 2281-2284 | MR 966830

2. Avron J. & Simon B. (1981), Transient and Recurrent Spectrum, Journ. of Funct. Anal. 43, 1 | MR 639794 | Zbl 0488.47021

3. Combes, J. M., Grossmann A. et Tchamitchian P. Editors, (1989), Wavelets, Springer-Verlag Berlin | MR 1010895

4. Cycon H. L., Froese R. G., Kirsch W., Simon B. (1987), Schrödinger Operators, Springer Verlag | MR 883643

5. Grossmann A., Morlet J., Paul T. (1986), Transforms associated to square integrable group representations II: examples Ann. Inst. Henri Poincar, Physique thorique, 45293-309 | Numdam | MR 868528 | Zbl 0601.22001

6. Guarneri I., On an Estimate concerning Quantum Diffusion in the Presence of a Fractal Spectrum, to appear in Europhys. Lett.

7. Hentschel H. G. E., Procaccia I. (1983), The infinite number of Generalized Dimensions of fractals and strange attractors, Physica 8D, 435-444 | MR 719636 | Zbl 0538.58026

8. Holschneider M. (1988), On the wavelet transformation of fractal objects J. Stat. Phys., 50 953-993 | MR 951066 | Zbl 1084.42518

9. Holschneider M. (1988), L'analyse d'objets fractals et leur transforme en ondelettes Thse de doctorat, Universit de Provence (Aix-Marseille I)

10. Holschneider M. (1993), Localization properites of wavelet transforms; Journ. Math. Phys. 34 (7), 1993, p. 3227-3244 | MR 1224209 | Zbl 0778.42027

11. Holschneider M. (1993), More on the analysis of local regularity through wavelet transforms ; submitted to Journ. Stat. Phys. | Zbl 0870.42009

12. Holschneider M., (1994), Functional Calculus using Wavelet Transforms, J. Math. Phys. (to appear) | MR 1279336 | Zbl 0824.44005

13. Holschneider M., Tchamitchian Ph. (1991), Pointwise Regularity of Riemanns "nowhere differentiable" function, Inventiones Mathematicae, 105, 157-175 | MR 1109624 | Zbl 0741.26004

14. Jaffard S. (1989), Estimations Hlderiennes ponctuelles des fonctions au moyen de leurs coefficients d'ondelettes CRAS Sèr. I 308, 7 | MR 984903

15. Ketzmerick R., Petschel G., Geisel T., Slow Decay for Temporal Correlations in Quantum Systems with Cantor Spectra, Preprint Univ. Prankfurt

16. Meyer Y. (1990), Ondelettes et Opèrateurs I&II&III, Hermann, Paris | MR 1085487

17. Muzy J. F., Bacry E., Arneodo A., Wavelets and Multifractal Formalism for Singular Signals, Phys. Rev. Lett 67, (1992), 3515-3518

18. Strichartz R. (1990), Fourier asymptotics of fractal measures, Jour. Funct. Anal., 89, 154 | MR 1040961 | Zbl 0693.28005