"Fractal Space-Time and
Microphysics: Towards a Theory of Scale Relativity."
List of publications
Chronological order. April 2006.
[R: Refereed book or journal; C: published colloquium; I: Invited conference or invited paper; A: other publications; D: popularization paper or book; L: book in collaboration; M: book (monography); W: electronic publication (web)]
1A. Karoji, H., Nottale, L., Vigier, J.P., 1975, C.R. Acad. Sc. Paris, 281B, 409.
2R. Karoji, H., Nottale, L., 1976, Nature, 259, 31
"Possible implication of the Rubin -Ford effect".
3R. Jaakkola, T., Le Denmat, G., Karoji, H., Moles, M., Nottale, L., Vigier, J.P., Pecker, J.C., 1976, Monthly Notices Roy. Astron. Soc., 177, 191.
"Additional evidence and possible interpretation of angular redshift anisotropy".
4R. Karoji, H., Nottale, L., Vigier, J.P., 1976, Astrophys. Space Sci., 44, 229.
"A peculiar distribution of radial velocities of faint radiogalaxies".
5R. Nottale, L., 1976, Astrophys. J. (Lett.), 208, L103.
"Redshift anomaly in associations of clusters of galaxies?".
6A. Nottale, L., 1976, C.R. Acad. Sc. Paris, 282B, 519.
7C. Nottale, L., 1976, in "Décalages vers le rouge et expansion de l'Univers", I.A.U. Coll. 37, C. Balkowski and B.E. Westerlund eds., pp. 164 et 310.
8D. Nottale, L., Pecker, J.C., Vigier, J.P., Yourgrau, W., 1976, La Recherche, 68, 5.
"La constante de Hubble mise en question".
9R. Nottale, L., Vigier, J.P., 1977, Nature, 268, 608.
"Continuous increase of Hubble modulus behind clusters of galaxies".
10R. Nottale, L., Moles, M., 1978, Astron. Astrophys., 66, 355.
"Statistical analysis of discrepant redshift associations. I. Quintets of galaxies".
11R. Moles, M., Nottale, L., 1978, Astron. Astrophys., 70, 13.
"Statistical analysis of discrepant redshift associations. II. QSO-galaxies and QSO-QSO pairs".
12D. Karoji, H., Le Denmat, G., Moles, M., Nottale, L., 1978, in "Les grands thèmes d'aujourd'hui", ed. Encyclopedia Universalis, p. 75.
"Evolution récente de la cosmologie observationnelle".
13A. Nottale, L., 1980, Thèse de Doctorat d'Etat ès Sciences, Université Paris VI.
"Perturbation de la relation de Hubble par les amas de galaxies".
14R. Balkowski, C., Le Denmat, G., Nottale, L., 1981, Astron. Astrophys. Suppl., 43, 121.
"Détermination optique et radio de vitesses radiales de galaxies parentes de supernovae".
15R. Moles, M., Nottale, L., 1981, Astron. Astrophys., 100, 258.
"The combined effect of radioemissivity and galaxy type on redshift".
16A. Mazure, A., Nottale, L., 1981, Bull. Inform. CDS, 20, 79.
17D. Nottale, L., 1981, in "Grande Encyclopédie Larousse, Supplément", p. 166.
"Cosmologie".
18A. Nottale, L., 1981, Revue du CETHEDEC, 67, 35.
19C. Moulin, Th., Nottale, L., Vallet, C., Le Guyader, H., 1981, in "Applied Systems and Cybernetics", ed. G. Lasker, Pergamon Press, N.Y., vol.II, Chap.IX, p.1027.
20A. Nottale, L., 1981, in "Atelier [[Omega]] =2qo", Observatoire de Meudon.
"Anisotropies de Ho".
21A. Nottale, L., 1982, Revue du CETHEDEC, 70, 43.
22A. Vallet, C., Nottale, L., Ferré, M., Moulin, Th., 1982, Cahiers Systema, 9, 4.
23R. Nottale, L., 1982, Astron. Astrophys., 110, 9.
"Perturbation of the magnitude-redshift relation in an inhomogeneous relativistic model : The redshift equations".
24R. Nottale, L., 1982, Astron. Astrophys., 113, 223.
"Statistical correction of projection of radiosources on the sky and application to the apparent size-redshift and linear size-line width relations".
25R. Mathez, G., Nottale, L., 1982, Astron. Astrophys., 113, 336.
"On the behaviour of QSO space density beyond z=3.5".
26R. Nottale, L., 1982, Astron. Astrophys., 114, 261.
"Perturbation of the magnitude-redshift relation in an inhomogeneous relativistic model -II- Correction to the Hubble law behind clusters".
27D. Collin-Souffrin, S., Nottale, L., 1982, Pour la Science, 54, 109.
"Commentaire à l'article: Les quasars, des témoins du début de l'Univers".
28CI. Nottale, L., 1982, in "L'Univers", Ecole de Goutelas, E. Schatzman ed.,
"Amas de galaxies et tests cosmologiques".
29C. Fernandez, A., Mathez, G., Mazure, A., Nottale, L., Rothenflug, R., 1982, I.A.U. Coll. 64, C. Jaschek and W. Heinz eds., p. 265.
"Le centre de données des Amas de Galaxies".
30R. Nottale, L., 1983, Astron. Astrophys., 118, 85.
"Perturbation of the magnitude-redshift relation in an inhomogeneous relativistic model -III- Redshift effect intrinsic to clusters of galaxies".
31C. Nottale, L., 1983, in "Clustering in the Universe", D. Gerbal and A. Mazure eds, Editions Frontière, p. 91.
"Perturbation of cosmological relations by clusters of galaxies".
32C. Lelièvre, G., Fort, B., Picat, J.P., Nottale, L., Mathez, G., Vanderriest, C., 1983, in "Quasars and gravitational lenses", 24th Liège Astrophysical Coll., p. 43.
"Detection of quasars and gravitational lenses with the grenses and the electronographic camera".
33C. Nottale, L., 1983, in "Radiosources", Institut d'Astrophysique de Paris, ed. J. Roland.
"Projection effects and cosmological consequences".
34C. Nottale, L., 1983, in "Les monopoles magnétiques", Rencontres interdisciplinaires en physique et astrophysique, Orsay, Université de Paris-Sud.
"L'objet Univers".
35R. Nottale, L., Schneider, J., 1984, J. Math. Phys., 25, 1296.
"Fractals and Non-Standard Analysis".
36R. Nottale, L., 1984, Monthly Notices Roy. Astron. Soc., 206, 713.
"Gravitational temperature decrease of the microwave background radiation towards rich clusters of galaxies".
37R. Nottale, L, Hammer, F., 1984, Astron. Astrophys., 141, 144.
"Gravitational amplification at relativistic distance".
38C. Fernandez, A., Nottale, L., 1984, Bull. Inform. CDS, 26, 93.
"Le centre de données des amas de galaxies"
39C. Fernandez, A., Mathez, G., Nottale, L., 1984, Journées de Strasbourg, Compte-rendu des journées, Observatoire de Strasbourg, p. 33.
"L'avenir du CEDAG"
40A. Nottale, L., 1984, Cours de 2è année, DEA d'Astrophysique.
"Test cosmologiques"
41R. Joly, M., Collin-Souffrin, S., Masnou, J.P., Nottale, L., 1985, Astron. Astrophys., 152, 282.
"Statistical study of AGN -I- Line width of CIV and Hß versus optical luminosity".
42LD. Nottale, L., 1985, in "Astronomie Flammarion", ed. Flammarion, Chap. XXVI.
"Cosmologie de la grande explosion".
43LD. Nottale, L., 1985, in "Astronomie Flammarion", ed. Flammarion, Chap. XXVII.
"Le débat cosmologique".
44A. Nottale, L., 1985, Ecole de Cosmologie, Montpellier.
"Cosmologie Observationnelle".
45R. Hammer, F., Nottale, L, 1986, Astron. Astrophys., 155, 420.
"VV172 : an effect of gravitational amplification by a massive halo".
46R. Nottale, L., 1986, Astron. Astrophys.,157, 383.
"The BL Lac object 0846+51W1 : A gravitationally lensed QSO ?"
47R. Nottale, L., Chauvineau, B., 1986, Astron. Astrophys.,162,1.
"Multiple gravitational lensing"
48R. Hammer, F., Nottale, L., 1986, Astron. Astrophys., 167, 1.
"Gravitational amplification of brightest cluster galaxies by foreground clusters".
49R. Hammer, F., Nottale, L., Le Fèvre, O., 1986, Astron. Astrophys. Lett., 169, L1.
"Overluminosity of distant radiogalaxies : evolution or gravitational amplification ?".
50C. Hammer, F., Le Fèvre, O., Nottale, L., 1986, I.A.U. Symp. 124, "Observational Cosmology", Pékin, Chine.
"3C324 : A probable new gravitational lens".
51C. Nottale, L., 1986, in "L'activité dans les galaxies", Ann. Phys. Fr., Col. ndeg.2, 12, 201
"Activation de QSOs par des compagnons en interaction".
52C. Nottale, L., 1986, in "L'activité dans les galaxies", Ann. Phys. Fr., Col. ndeg.2, 12, 241
"Amplification gravitationnelle des quasars à raies d'absorption".
53R. Le Fèvre, O., Hammer, F., Nottale, L., Mathez, G., 1987, Nature, 326, 268.
"Is 3C324 the first gravitationally lensed giant galaxy?".
54C. Nottale, L., 1987, in "The structure of the Universe", IAU Symposium 130, J. Audouze and A. Szalay, eds., p. 597.
"Gravitational lensing: cosmological implications"
55CI. Nottale, L., 1987, invited review in "High redshift and primeval galaxies", 3rd IAP Astrophysics Meeting, J. Bergeron, D. Kunth, B. Rocca,eds., Frontières, p.451-466
"Amplification and lensing".
56C. Le Fèvre, O., Hammer, F., Nottale, L., Mazure, A., 1987, I.A.U. Symp. ndeg. 130, eds. J. Audouze et al., p. 599
"Morphology of high redshift 3CR galaxies".
57R. Le Fèvre, O., Hammer, F., Nottale, L., Mazure, A., Christian, C., 1988, Astrophys. J. Lett., 324, L1.
"Peculiar morphology of the high redshift radio-galaxies 3C13 and 3C256 in sub-arcsecond seeing".
58A. Nottale, L., 1988, J.A.F., 31, 5 et Cahiers Clairaut, 42, 2, Conférence prononcée à l'occasion de la remise du prix Digital Equipment de la S.F.S.A. (1987).
"Les télescopes gravitationnels".
59R. Nottale, L., 1988, C. R. Acad. Sc. Paris, 306, 341
"Sur le temps de la microphysique".
60R. Nottale, L., 1988, Annales de Physique, 13, 223
"Gravitational lensing in observational cosmology"
61C. Nottale, L., 1988, in "Dark Matter", 8th Moriond Astrophysics meeting, ed. J. Audouze and J. Tran Thanh Van (Frontières), p. 339.
"Dark matter and gravitational lensing".
62C. Nottale, L., 1988, in "The World of Galaxies", Conférence en l'honneur de G. et A. de Vaucouleurs, Paris, ed. H. Corwin & L. Botinelli, Springer-Verlag, p. 477
"The distance-redshift relation in the inhomogeneous Universe".
63C. Nottale, L., 1988, in "DAEC workshop on large scale structures", ed. C. Balkowski et S. Gordon, Observatoire de Paris, p. 85.
"Gravitational lensing by large scale structures".
64D. Nottale, L., 1988, Images de la Physique, Le Courrier du CNRS, Suppl. 71, 68
"Des mirages gravitationnels originaux".
65A. Surdej, J., Arnaud, J., Borgeest, U., Djorgovski, S., Fleischmann, F., Hammer, F., Hutsemekers, D., Kayser, R., LeFèvre, O., Nottale, L., Magain, P., Meylan G., Refsdal, S., Remy, M., Shaver, P., Smette, A., Swings, J.P., Vanderriest, C., Van Drom, E., Véron-Cetty, M., Véron, P., Weigelt, G. , 1989, ESO Messenger, 55, 8
"Gravitational lensing".
66R. Nottale, L., 1989, International Journal of Modern Physics, A4, 5047-5117
"Fractals and the Quantum Theory of Space-Time".
67CI. Nottale, L., 1990, invited talk in Toulouse Workshop on "Gravitational Lensing", ed. Y. Mellier, B. Fort and G. Soucail (Springer-Verlag), p. 29
"Gravitational redshifts and lensing by large scale structures".
68C. Nottale, L., 1990, in "Particle Astrophysics: The early Universe and Cosmic Structures", 10th Moriond Astrophysics meeting, eds. A. Blanchard and J. Tran Thanh Van (Frontières), p. 171.
"Gravitational lensing as a probe for dark matter".
69C. Nottale, L., 1990, in "Particle Astrophysics: The early Universe and Cosmic Structures", 10th Moriond Astrophysics meeting, eds. A. Blanchard and J. Tran Thanh Van (Frontières), p. 13.
"The fractal structure of the quantum space-time".
70D. Nottale, L., 1990, in Thema, Encyclopédies Larousse, 5, 58, 60
"Cosmologie: faits et hypothèses"; "Passé et futur de l'Univers".
71CI. Nottale, L., 1990, in "Applying Fractals in Astronomy", 2th Journées de Strasbourg, Eds. A. Heck and J. Perdang (Springer-Verlag), p. 181.
"The Fractal Structure of the Quantum Space-Time".
72CI. Nottale, L., 1991, invited talk in "Physical Cosmology", 2th Rencontres de Blois eds. A. Blanchard and J. Tran Thanh Van (Frontières), p. 249.
"Gravitational Lensing".
73R. Marchandon, S., Nottale, L., 1991, Astron. Astrophys. 251, 393.
"Statistics of gravitational lensing: extended sources"
74C. Surdej, J., Angonin, M.C., Arnaud, J., Bauer, T., Borgeest, U., Djorgovski, S., Hainaut, O., Hammer, F., Hutsemekers, D., Kayser, R., LeFèvre, O., Nottale, L., Magain, P., Meylan G., Refsdal, S., Remy, M., Shaver, P., Smette, A., Swings, J.P., Vanderriest, C., Van Drom, E., Véron-Cetty, M., Véron, P., Weigelt, G. , 1991, 2è DAEC meeting, "The distribution of matter in the Universe".
"ESO Key-Progr. "Gravitational lensing: quasars and radio-galaxies" : a status report".
75D. Nottale, L., 1991, Analyse du livre "Les Trous Noirs" (J.P. Luminet; ed. Belfond), Pour la Science, no 162.
76C. Nottale, L., 1991, in "Progress in Electromagnetics Research Symposium", Proceedings (Cambridge, USA), p. 754.
"Fractals and Quantum Theory of Space-Time".
77A. Nottale, L., Moulin, T., 1991, Cahier Systema, 13, 93
"Relateurs arithmétiques biquadratiques dégénérés".
78R. Nottale, L., 1992, International Journal of Modern Physics A7, 4899-4936
"The Theory of Scale Relativity".
79CI. Nottale, L., 1992, invited conference, DISTANCIA'92, International Meeting on Distance Analysis (Rennes, France), S. Joly & G. Le Calvé eds., Université de Rennes, p.317.
"Distances et Relativité"
80D. Nottale, L., 1992, Pour la Science 176, 26.
"Fluctuations Primordiales : Observations de COBE".
81M. Nottale, L., 1993, (World Scientific, 1993), 333 pp.
"Fractal Space-Time and
Microphysics: Towards a Theory of Scale Relativity."
82RC. Nottale, L., 1993, in "Cellular Automata: Prospects in Astrophysical Applications" , Université de Liège, A. Lejeune and J. Perdang (eds.), (World Scientific, 1993), pp.268-277.
"Emergence of structures from chaos."
83D. Nottale, L., 1993, in Grand Larousse Annuel, p. 202
"Les Nouvelles Contraintes de la Cosmologie".
84R. Nottale, L., 1994, Chaos, Solitons & Fractals, 4, 361-388. Reprinted in "Quantum Mechanics, Diffusion and Chaotic Fractals", Eds. M.S. El Naschie, O.E. Rössler and I. Prigogine (Pergamon, 1995), p.51
"Scale-Relativity, Fractal Space-Time and Quantum Mechanics".
85RCI. Nottale, L., 1994, invited conf., "First International Conference on Complex Systems in Computational Physics", Buenos-Aires, Ed. Marshall (Pergamon), Chaos, Solitons & Fractals 6, 401.
"Scale-Relativity: From Quantum Mechanics to Chaotic Dynamics".
86MD. Nottale, L., 1994, (Flammarion, Nouvelle Bibliothèque Scientifique), prix du livre d'Astronomie 1995.
"L'Univers
et la Lumière : Cosmologie Classique et Mirages Gravitationnels"
Reprinted in the series
"Champs" (1998)
87RCI. Nottale, L., 1994, in 25è Ecole d'Eté de Physique des Particules de Gif-sur-Yvette, "Relativité Générale et Ondes Gravitationnelles", p. 243.
"Mirages Gravitationnels, Arcs et Lentilles".
88RCI. Nottale, L., 1994, invited conference in "Relativity in General", E.R.E. 93 (Spanish Relativity Meeting) Salas, Ed. J. Diaz Alonso and M. Lorente Paramo (Frontières), p.121.
"Scale-Relativity: First Steps toward a Field Theory".
89D. Nottale, L., 1994, in "Le Big-Bang en question", Science et Vie Hors Série, 189, 116
"Univers Primordial et Relativité d'Echelle".
90CI.Nottale, L., 1994, invited conference in "Hyperbolic and Fractal Geometry", International Summer School, Bordeaux, July 1994 (A. Le Méhauté, ed.)
"Scale Relativity".
91CI. Nottale, L., 1995, invited conference in "Chaos and diffusion in Hamiltonian systems", (Chamonix, Février 1994), Ed. D. Benest et C. Froeschlé (Frontière), pp 173-198.
"New Formulation of Stochastic Mechanics. Application to Chaos".
92RC. Nottale, L., 1995, in "Fractal Reviews in the Natural and Applied Sciences", Proceedings of "Fractals'95", Ed. M.M. Novak, (Chapman & Hall, London, 1995), pp. 12-23.
"Scale Relativity: Many-Particle Schrödinger Equation".
93D. Nottale, L., 1995, Pour la Science, 215, 34 (Septembre 1995)
"L'Espace-Temps Fractal".
94CI. Nottale, L., 1995, in Proceedings of "Histoire et Actualité de la Cosmologie", Observatoire de Paris, 12-16 Sept. 1994, Eds. Ch. Vilain and F. De Gandt, vol. II, p. 71.
"History of Gravitational Lensing".
95C. Nottale, L., 1995, in "Clustering in the Universe", 15th Moriond Astrophysics meeting, eds. S. Maurogordato, C. Balkowski, C. Tao and J. Tran Thanh Van (Frontières), p. 523
"Scale Relativity and Structuration of the Universe".
96ILD. D. Benest, A. Blanchard, L. Bottinelli, S. Collin, C. Froeschlé, L. Gougenheim, J. Lefèvre, L. Nottale, 1995, (Hachette, collection "Les Fondamentaux")
"L'Univers des Galaxies".
97RI. Nottale, L., 1996, Chaos, Solitons and Fractals, 7, 877-938
"Scale Relativity and Fractal Space-Time: Application to Quantum Physics, Cosmology and Chaotic systems".
98R. Nottale, L., 1996, Astron. Astrophys. Lett. 315, L9
"Scale-Relativity and Quantization of Extrasolar Planetary Systems".
99LD. Nottale, L., 1996, in "Les Sciences du Ciel", sous la direction de P. Léna (Flammarion)
"Les origines", "Les mathématiques", "Le temps et l'espace"
100R. Nottale, L., Schumacher, G., Gay, J., 1997, Astron. Astrophys., 322, 1018
"Scale Relativity and Quantization of the Solar System".
101CIR. Nottale, L., 1997, in "Scale invariance and beyond", proceedings of Les Houches school, Ed. B. Dubrulle, F. Graner and D. Sornette, (EDP Sciences / Springer), p. 249
"Scale relativity".
102R. Nottale, L., 1997, Astron. Astrophys., 327, 867
"Scale relativity and Quantization of the Universe. I. Theoretical framework."
103CI. Nottale, L., 1997, in Proceedings of I.A.C. colloquium, Paris 8 University, Intelligence artificielle et complexité, Ed. A. Ali Cherif et J. Signorini, p. 66
"La relativité d'échelle".
104C. Nottale, L., 1997, in "Planetary systems: the long view", Proceedings of IXè rencontres de Blois, Eds. L. Celnikier et J. Tran Thanh Van, Frontières, p. 51
"Scale-relativity and universal structures in planetary systems".
105D. Nottale, L., 1997, in Les Trous Noirs, Pour la Science (Dossier hors série), p.57.
"Sommes-nous dans un trou noir ?".
106CI. Nottale, L., 1997, in Proceedings of Institute Kurt Bösch workshop, "Emergence, Entropy and the Creative Universe", Ed. T. Bernold, p. 155.
"The scale-relativistic view of the world".
107CI. Nottale, L., 1997, in Proceedings of Colloquium "Dimension", Maison des Sciences de l'Homme, Eds. D. Flament, Chap. VIII.
"Dimension fractale et relativité d'échelle".
108D. Nottale, L., 1998, Ciel et Terre, Bulletin de la Société royale belge d'Astronomie, vol 114 (2), 63-71. "Relativité d'échelle et cosmologie".
109R. Nottale, L., 1998, Chaos, Solitons and Fractals, 9, 1035
"Scale relativity and quantization of planet obliquities".
110R. Nottale, L., 1998, Chaos, Solitons and Fractals, 9, 1043
"Scale Relativity and Quantization of the Planetary System around the pulsar PSR B1257+12 ".
111R. Nottale, L., 1998, Chaos, Solitons and Fractals, 9, 1051
"Scale relativity and Schrödinger's equation".
112RC. Nottale, L. & Schumacher G., 1998, in "Fractals and beyond : Complexities in the Sciences", Proceedings of 'Fractal 98' conference, (World Scientific), Ed. M.M. Novak, p. 149.
"Scale relativity, fractal space-time and gravitational structures".
113M. Nottale, L., 1998, Hachette, collection "Sciences", 319 pp.
"La Relativité dans
tous ses Etats : Au delà de l'Espace-Temps".
Reprinted in the series "Pluriel" (2000).
114IR. Nottale, L., 1999, Chaos, Solitons and Fractals, 10, 459 (special issue)
"The Scale-Relativity Program".
115R. Chaline, J., Nottale, L., Grou, P., 1999, C.R. Acad. Sci. Paris, 328, 717
"Is the evolutionary tree a fractal structure ?".
116R. Chaline J., Nottale L. et Grou P. 1999. C. R. Acad. Sci. Paris, 328, IIa, 717-726.
Réponse au commentaire de Eric Buffetaut au "Point sur" L'arbre de la vie a-t-il une structure fractale ?
117D. Nottale, L., 1999, La Mazarine, Oct. 1999, 10, p. 21.
"Relativité restreinte d'échelle et cosmologie".
118M. Nottale, L., Chaline, J., & Grou, P., 2000, Hachette, 379 pp.
"Les arbres de l'évolution:
Univers, Vie, Sociétés".
119IC. Nottale, L., 2000, Proceedings of I.A.C.'98 colloquium, Paris 8 University, Intelligence artificielle et complexité, Eds. J. Signorini et A. Ali Cherif, p. 51.
"Relativité d'échelle et structuration gravitationnelle".
120R. Nottale, L., Schumacher, G., & Lefèvre, E.T., 2000, Astron. Astrophys., 361, 379
"Scale relativity and quantization of exoplanet orbital semi-major axes".
121ICR. Nottale, L., 2000, Conférence invitée, Proceedings of 4è Forum Halieumétrique, Juin 1999, Les espaces de l'halieutique, Eds. D. Gascuel, P. Chavance, N. Bez & A. Biseau, IRD Editions, p.41
"La théorie de la relativité d'échelle: réflexions pour une application à l'halieutique".
122IL. Nottale, L., 2000, in Temps, an 2000, ed. Desjeunes
"De la relativité du mouvement à la relativité d'échelle".
123IC. Nottale, L., 2000, in Séminaire "Histoires de géométries", Maison des sciences de l'homme, Ed. D. Flament, p.1
"Espace-temps fractal et mécanique quantique".
124IC. Nottale, L., 2001, in Science of the Interface, Proceedings of International Symposium in honor of Otto Rössler, ZKM Karlsruhe, Allemagne, 18-21 May 2000, Eds. H. Diebner, T. Druckney and P. Weibel, p. 38 (Genista Verlag, Tübingen, 2001)
"Scale relativity, fractal space-time and morphogenesis of structures".
125IC. Nottale, L., Chaline, J., & Grou, P., 2001, in Fractals in Biology and Medicine, Vol III, Proceedings of Fractal 2000 Third International Symposium, Ascona, Suisse, 8-11 Mars 2000, Eds. G. Losa, D. Merlini, T. Nonnenmacher and E. Weibel, Birckhäuser Verlag, p. 247.
"On the fractal structure of evolutionary trees".
126IC. Nottale, L., 2001, in Frontiers of Fundamental Physics, Proceedings of Birla Science Center Fourth International Symposium, 11-13 dec. 2000, Hyderabad, India, Eds. B.G. Sidharth and M.V. Altaisky, (Kluwer Academic), p. 65
"Scale relativity and non-differentiable fractal space-time".
127R. Nottale, L., 2001, Chaos, Solitons and Fractals, 12, 1577
ěScale relativity and gauge invarianceî.
128IR. Nottale, L., 2001, Revue de Synthèse, T. 122, 4e S., N°1, janvier-mars 2001, p. 11-25
"Relativité d'échelle: structure de la théorie".
129IR. Nottale, L., 2001, Revue de Synthèse, T. 122, 4e S., N°1, janvier-mars 2001, p. 93-116
"Relativité d'échelle et morphogénèse".
130W. Nottale, L. & Tran Minh N., 2001, Actualités / Nouvelles Scientifiques, Observatoire de Paris, Mai 2001, http://www.obspm.fr/actual/nouvelle/nottale/nouv.fr.shtml
"Prédiction des orbites des planètes et exoplanètes".
131RIL. Nottale, L., 2002, in Traité IC2, Traitement du Signal et de l'Image, "Lois d'échelle, fractales et ondelettes", sous la direction de P. Abry, P. Gonçalvès et J. Levy Vehel, (Hermès Lavoisier 2002), Vol. 2, Chap. 7, pp. 233-265.
"Relativité d'échelle, nondifférentiabilité et espace-temps fractal".
132W. Nottale, L., 1998-2006, Web Site, http://wwwusr.obspm.fr/~nottale/
"Scale Relativity and Fractal Space-Time".
133R. Cash R., Chaline, J., Nottale, L., Grou, P., 2002, C.R. Biologies 325, 585-590
"Développement humain et loi log-périodique ".
134CI. Nottale, L., 2002, in Vè Symposium "Mathématiques et Dialyse" (Pyramide du Louvre, Paris, 13 Novembre 2000), N.K. Man, B. Perrone, T. Petitclerc coordonnateurs (Meditor, Strasbourg), p. 3.
"La flêche du temps en relativité d'échelle".
135LI. Nottale, L., 2002, in La complexité, vertiges et promesses, 18 histoires de sciences (entretiens avec Morin, Prigogine, Gershensfeld, Mange, Deneubourg, Steels, Langton, Varela, Goodwin, Kauffman, Derrida, Pomeau, Ekeland, Chaitin, Barrow, Nottale, Linde, Serres), ed. Reda Benkirane, Le Pommier, Chap. XVI, pp. 329-356
"La relativité d'échelle".
136LI. Nottale, L., 2002, in "Penser les limites. Ecrits en l'honneur d'André Green", Delachiaux et Niestlé, p. 157.
"Relativité, être et ne pas être".
137C. P. Galopeau, L. Nottale, D. Da Rocha, N. Tran Minh, C. Mégessier et G. Schumacher, 2002, Actes du 3e Colloque du Programme National de Planétologie de líINSU, eds. O. Grasset, A. Cossard et C. Sotin, pp. 18-19.
"Application de la relativité d'échelle aux planètes extrasolaires"
138RI. Nottale, L., 2003, Chaos, Solitons and Fractals, 16, 539
"Scale-relativistic cosmology".
139RI. Da Rocha D. & Nottale, L., 2003, Chaos, Solitons and Fractals, 16, 565 (eprint astro-ph/0310036)
"Gravitational structure formation in scale-relativity".
140R. Nottale, L., 2003, Electromagnetic Phenomena, T. 3, N°1 (9), 24
"Theory of Electron in Scale Relativity".
141R. Célérier, M.N., Nottale, L., 2003, Electromagnetic Phenomena, T. 3, N°1 (9), 83 (eprint hep-th/0210027)
"A scale-relativistic derivation of the Dirac equation".
142DI. Nottale, L., 2003, L'Astronomie 117, 3
"Conséquences astrophysiques et cosmologiques de la théorie de la relativité d'échelle".
143DI. Nottale, L., 2003, Pour La Science, 309, 38-45 (Juillet 2003)
"La relativité díéchelle à líépreuve des faits".
144C. Da Rocha D. & Nottale, L., 2003, in Colloquium "Winds, Bubbles, and Explosions: a conference to honor John Dyson", Pátzcuaro, Michoacán, México, September 9-13, 2002 (Eds. S. J. Arthur & W. J. Henney) Revista Mexicana de Astronomía y Astrofísica (Serie de Conferencias) Vol. 15, p. 69
"On the morphogenesis of planetary nebulae".
145DI. Nottale, L., 2003, Siècle 21 Littérature & société, 2è année n°2, pp. 149-154
"L'évolution du concept de temps en physique".
146DI. Nottale L., 2003, Science & Conscience 11, 62-67.
"De la relativité d'échelle à la réalité...".
147RC. Grou P., Nottale L.,Chaline J., 2004, in "Zona Arqueologica, Miscelanea en homenaje a Emiliano Aguirre", IV Arqueologia : 230-237, Museo Arquelogico Regional, Madrid.
"Log-periodic laws applied to geosciences".
148R. Célérier M.-N. & Nottale, L., 2004, J. Phys. A, 37, 931-955
"Quantum-classical transition in scale relativity".
149RIC. Nottale L., 2004, conférence invitée, in "Computing Anticipatory Systems. CASYS'03 - Sixth International Conference" (Liège, Belgique, 11-16 Août 2003), Daniel M. Dubois Editor, American Institute of Physics Conference Proceedings 718, 68-95
"The Theory of Scale Relativity: Non-Differentiable Geometry and Fractal Space-Time".
150C. Nottale L, Galopeau P., Ceccolini D. Da Rocha D. Schumacher G. & Tran-Minh N., 2004, in "Extrasolar Planets: Today and Tomorrow", XIXè colloque IAP (Paris, France), 30 June-4 July 2003, Eds. J.P. Beaulieu, A. Lecavelier des Etangs and C. Terquem, Astronomical Society of the Pacific Conference Series 321, 355
"Structuring of the semimajor axis and eccentricity distributions of exoplanets"
151RI. Nottale L., 2005, contribution invitée dans le volume "Trends in Field Theory Research", (Nova Science), sous presse
"Geometric interpretation of gauge fields in the theory of scale relativity"
152RI. Nottale L., 2005, Chaos, Solitons and Fractals 25, 797-803. Reprinted in SpaceTime Physics and Fractality, P. Weibel, G. Ord, O. Rössler (Eds.), 41-52 (Springer WienNewYork 2005)
"On the transition from the classical to the quantum regime in fractal space-time theory".
153RI. Nottale L., 2004, Proceedings of Symposia in Pure mathematics, 72, Part 1, p. 57 (American Mathematical Society, Providence)
"Fractal Geometry and the Foundations of Physics".
154C. Nottale L., 2004, in "Scientific Highlights 2004", Proceedings of the Journées de la SF2A, Paris 14-18 Juin 2004, F. Combes, D. Barret, T. Contini, F. Meynadier & L. Pagani (eds.), EDP Sciences, p. 373
"Energy structure at 3.2 10^20 eV in special scale-relativity"
155C. Célérier M.N. & Nottale L., 2004, in "Scientific Highlights 2004", Proceedings of the Journées de la SF2A, Paris 14-18 Juin 2004, F. Combes, D. Barret, T. Contini, F. Meynadier & L. Pagani (eds.), EDP Sciences, p. 649
"Generalized macroscopic Schrödinger equation in scale relativity"
156C. Lehner T., Nottale L., di Menza L., da Rocha D., & Ceccolini D., 2004, in "Scientific Highlights 2004", Proceedings of the Journées de la SF2A, Paris 14-18 Juin 2004, F. Combes, D. Barret, T. Contini, F. Meynadier & L. Pagani (eds.), EDP Sciences, p. 687
"Structure formation by the Hartree equation"
157C. Nottale L., 2004, in "Scientific Highlights 2004", Proceedings of the Journées de la SF2A, Paris 14-18 Juin 2004, F. Combes, D. Barret, T. Contini, F. Meynadier & L. Pagani (eds.), EDP Sciences, p. 699
"Scale relativity and dark potential"
158C. Galopeau P., Nottale L., Ceccolini D., da Rocha D., Schumacher G. & Tran-Minh N., 2004, in "Scientific Highlights 2004", Proceedings of the Journées de la SF2A, Paris 14-18 Juin 2004, F. Combes, D. Barret, T. Contini, F. Meynadier & L. Pagani (eds.), EDP Sciences, p. 75
"Distribution of orbital elements of planets and exoplanets in scale relativity"
159R. Nottale L., 2005, Progress in Physics, 1, 12-16
"Fractality field in the theory of scale relativity".
160ID. Nottale L., 2005, Commentaire 109, 111
"La crise du système d'évaluation scientifique".
161IC. Auffray C., Nottale L. & the Systemoscope Consortium, Invited Conference in International Conference "Integrative Systems Biology for Health - TRANSCRIPTOME 2005", Shanghai, Chine, 5-9 Novembre 2005
"Scale Relativity in Systems Biology of Muscular and Pulmonary Diseases"
162R. Nottale L., Célérier M.N., Lehner T., 2006, J. Math. Phys. 47, 032303 (eprint hep-th/0307093)
"Non-Abelian gauge field theories in scale relativity".
163RI. Nottale L.& Timar P. 2006, Psychanalyse et Psychose 6, 195
"De l'objet à l'espace psychique".
164RI. Nottale L. 2006, in Proceedings of 7th International Colloquium on Clifford Algebra, Ed. P. Anglès (Birkhauser, 2006)
"Origin of complex and quaternionic wavefunctions in quantum mechanics: the scale-relativistic view".
165CI. Nottale L. 2006, Invited Conference in "Frontiers of Fundamental Physics", Proceedings of the Sixth International Symposium "Frontiers of Fundamental and Computational Physics", Udine, Italy, 26-29 September 2004, Sidharth, B.G., Honsell, F. & de Angelis, A. (Eds.)
"Astrophysical applications of the theory of scale relativity".
166CI. Nottale L. 2006, Invited Conference, Proceedings du Congrès FFN, Paris 2005, sous presse
"Analyse temporelle de phénomènes de crise: lois
d'évolution log-périodique"