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Author ID: nottale.laurent Recent zbMATH articles by "Nottale, Laurent"
Published as: Nottale, Laurent; Nottale, L.

Publications by Year

Citations contained in zbMATH Open

32 Publications have been cited 496 times in 296 Documents Cited by Year
Fractal space-time and microphysics. Towards a theory of scale relativity. Zbl 0789.58003
Nottale, Laurent
187
1993
Scale relativity and fractal space-time: applications to quantum physics, cosmology and chaotic systems. Zbl 1080.81525
Nottale, L.
74
1996
The theory of scale relativity. Zbl 0954.81501
Nottale, Laurent
31
1992
Scale relativity and fractal space-time. A new approach to unifying relativity and quantum mechanics. Zbl 1222.83004
Nottale, Laurent
28
2011
Scale relativity, fractal space-time and quantum mechanics. Zbl 0805.58057
Nottale, Laurent
25
1994
The scale-relativity program. Zbl 0997.81526
Nottale, L.
17
1999
Quantum–classical transition in scale relativity. Zbl 1098.81730
Célérier, Marie-Noëlle; Nottale, Laurent
12
2004
The impact of nonlinear dynamics and fractals on quantum physics and relativity. Zbl 0935.00017
11
1998
Derivation of the postulates of quantum mechanics from the first principles of scale relativity. Zbl 1126.81008
Nottale, Laurent; Célérier, Marie-Noëlle
10
2007
Scale relativity: First steps toward a field theory. Zbl 0863.58093
Nottale, Laurent
9
1994
Non-Abelian gauge field theory in scale relativity. Zbl 1111.81119
Nottale, Laurent; Célérier, Marie-Noëlle; Lehner, Thierry
8
2006
Scale relativity: from quantum mechanics to chaotic dynamics. Zbl 0905.58053
Nottale, Laurent
8
1995
Scale relativity and gauge invariance. Zbl 1012.83506
Nottale, Laurent
8
2001
Scale relativity and fractal space-time: theory and applications. Zbl 1201.83056
Nottale, Laurent
8
2010
The Pauli equation in scale relativity. Zbl 1106.81030
Célérier, Marie-Noëlle; Nottale, Laurent
7
2006
Scale relativity and Schrödinger’s equation. Zbl 0938.83008
Nottale, L.
7
1998
Scale-relativistic cosmology. Zbl 1035.83510
Nottale, Laurent
6
2003
Scale relativity and quantization of planet obliquities. Zbl 0970.70013
Nottale, L.
6
1998
Generalized quantum potentials. Zbl 1167.81015
Nottale, Laurent
5
2009
Gravitational structure formation in scale relativity. Zbl 1035.83021
Da Rocha, D.; Nottale, L.
5
2003
New formulation of stochastic mechanics. Application to chaos. Zbl 0873.70017
Nottale, Laurent
4
1995
Origin of complex and quaternionic wavefunctions in quantum mechanics: the scale-relativistic view. Zbl 1181.81053
Nottale, Laurent
3
2008
On the transition from the classical to the quantum regime in fractal space-time theory. Zbl 1069.81025
Nottale, L.
3
2005
Scale relativity. Zbl 0976.83005
Nottale, Laurent
3
1997
Perturbation of the magnitude-redshift relation in an inhomogeneous relativistic model: the redshift equations. Zbl 0505.70014
Nottale, L.
2
1982
Emergence of complex and spinor wave functions in scale relativity. I: Nature of scale variables. Zbl 1284.81015
Nottale, Laurent; Célérier, Marie-Noëlle
2
2013
Scale relativity and quantization of the planetary system around the pulsar \(\text{PSR\quad B1257+12}\). Zbl 0932.83009
Nottale, L.
2
1998
Electromagnetic Klein – Gordon and Dirac equations in scale relativity. Zbl 1202.81030
Célérier, Marie-Noëlle; Nottale, Laurent
1
2010
On the fractal structure of evolutionary trees. Zbl 1134.92354
Nottale, Laurent; Chaline, Jean; Grou, Pierre
1
2002
Perturbation of the magnitude-redshift relation in an inhomogeneous relativistic model. III. Redshift effect intrinsic to clusters of galaxies. Zbl 0544.76044
Nottale, L.
1
1983
Emergence of complex and spinor wave functions in scale relativity. II. Lorentz invariance and bi-spinors. Zbl 1292.81003
Célérier, Marie-Noëlle; Nottale, Laurent
1
2014
Perturbation of the magnitude-redshift relation in an inhomogeneous relativistic model. II. Correction to the Hubble law behind clusters. Zbl 0519.70016
Nottale, L.
1
1982
Emergence of complex and spinor wave functions in scale relativity. II. Lorentz invariance and bi-spinors. Zbl 1292.81003
Célérier, Marie-Noëlle; Nottale, Laurent
1
2014
Emergence of complex and spinor wave functions in scale relativity. I: Nature of scale variables. Zbl 1284.81015
Nottale, Laurent; Célérier, Marie-Noëlle
2
2013
Scale relativity and fractal space-time. A new approach to unifying relativity and quantum mechanics. Zbl 1222.83004
Nottale, Laurent
28
2011
Scale relativity and fractal space-time: theory and applications. Zbl 1201.83056
Nottale, Laurent
8
2010
Electromagnetic Klein – Gordon and Dirac equations in scale relativity. Zbl 1202.81030
Célérier, Marie-Noëlle; Nottale, Laurent
1
2010
Generalized quantum potentials. Zbl 1167.81015
Nottale, Laurent
5
2009
Origin of complex and quaternionic wavefunctions in quantum mechanics: the scale-relativistic view. Zbl 1181.81053
Nottale, Laurent
3
2008
Derivation of the postulates of quantum mechanics from the first principles of scale relativity. Zbl 1126.81008
Nottale, Laurent; Célérier, Marie-Noëlle
10
2007
Non-Abelian gauge field theory in scale relativity. Zbl 1111.81119
Nottale, Laurent; Célérier, Marie-Noëlle; Lehner, Thierry
8
2006
The Pauli equation in scale relativity. Zbl 1106.81030
Célérier, Marie-Noëlle; Nottale, Laurent
7
2006
On the transition from the classical to the quantum regime in fractal space-time theory. Zbl 1069.81025
Nottale, L.
3
2005
Quantum–classical transition in scale relativity. Zbl 1098.81730
Célérier, Marie-Noëlle; Nottale, Laurent
12
2004
Scale-relativistic cosmology. Zbl 1035.83510
Nottale, Laurent
6
2003
Gravitational structure formation in scale relativity. Zbl 1035.83021
Da Rocha, D.; Nottale, L.
5
2003
On the fractal structure of evolutionary trees. Zbl 1134.92354
Nottale, Laurent; Chaline, Jean; Grou, Pierre
1
2002
Scale relativity and gauge invariance. Zbl 1012.83506
Nottale, Laurent
8
2001
The scale-relativity program. Zbl 0997.81526
Nottale, L.
17
1999
The impact of nonlinear dynamics and fractals on quantum physics and relativity. Zbl 0935.00017
11
1998
Scale relativity and Schrödinger’s equation. Zbl 0938.83008
Nottale, L.
7
1998
Scale relativity and quantization of planet obliquities. Zbl 0970.70013
Nottale, L.
6
1998
Scale relativity and quantization of the planetary system around the pulsar \(\text{PSR\quad B1257+12}\). Zbl 0932.83009
Nottale, L.
2
1998
Scale relativity. Zbl 0976.83005
Nottale, Laurent
3
1997
Scale relativity and fractal space-time: applications to quantum physics, cosmology and chaotic systems. Zbl 1080.81525
Nottale, L.
74
1996
Scale relativity: from quantum mechanics to chaotic dynamics. Zbl 0905.58053
Nottale, Laurent
8
1995
New formulation of stochastic mechanics. Application to chaos. Zbl 0873.70017
Nottale, Laurent
4
1995
Scale relativity, fractal space-time and quantum mechanics. Zbl 0805.58057
Nottale, Laurent
25
1994
Scale relativity: First steps toward a field theory. Zbl 0863.58093
Nottale, Laurent
9
1994
Fractal space-time and microphysics. Towards a theory of scale relativity. Zbl 0789.58003
Nottale, Laurent
187
1993
The theory of scale relativity. Zbl 0954.81501
Nottale, Laurent
31
1992
Perturbation of the magnitude-redshift relation in an inhomogeneous relativistic model. III. Redshift effect intrinsic to clusters of galaxies. Zbl 0544.76044
Nottale, L.
1
1983
Perturbation of the magnitude-redshift relation in an inhomogeneous relativistic model: the redshift equations. Zbl 0505.70014
Nottale, L.
2
1982
Perturbation of the magnitude-redshift relation in an inhomogeneous relativistic model. II. Correction to the Hubble law behind clusters. Zbl 0519.70016
Nottale, L.
1
1982
all top 5

Cited by 242 Authors

30 El Naschie, Mohamed Saladin
22 Agop, Maricel
17 Castro Perelman, Carlos
17 Nottale, Laurent
17 Sidharth, Burra Gautam
12 Cresson, Jacky
12 Jumarie, Guy M.
11 Ord, Garnet N.
9 El-Nabulsi, Rami Ahmad
8 Buzea, Călin Gheorghe
8 Nica, Petrică
7 Ioannou, Pavlos D.
6 Golmankhaneh, Alireza Khalili
6 Wang, Xiaotian
5 Boyarsky, Abraham
5 Célérier, Marie-Noëlle
5 Saniga, Metod
4 Calcagni, Gianluca
4 Dai, Chaoshou
4 Gavrilut, Alina Cristiana
4 Góra, Paweł
4 Iovane, Gerardo
4 Prodanov, Dimiter
4 Shehata, Enas M.
4 Wang, Qiuping Alexandre
3 Ben Adda, Fayçal
3 Czachor, Marek
3 El Zafarani, Rasha M.
3 Faried, Nashat
3 Goldfain, Ervin
3 Pierret, Frédéric
3 Torres, Delfim Fernando Marado
3 Zhang, Shiying
2 Akhmet, Marat Ubaydulla
2 Alejaily, Ejaily Milad
2 Almeida, Ricardo
2 Argyris, John Hadji
2 Augenstein, Bruno W.
2 Balankin, Alexander S.
2 Băleanu, Dumitru I.
2 Bory Reyes, Juan
2 Carroll, Robert Wayne
2 Ciobanu, Brânduşa
2 Ciobanu, Gabriela
2 Datta, Dhurjati Prasad
2 Fadnavis, Suvarna
2 Fen, Mehmet Onur
2 Fliess, Michel
2 Giné, Jaume
2 Gîrţu, Manuela
2 Greff, Isabelle
2 Grössing, Gerhard
2 Hou, Yanyan
2 Lapidus, Michel L.
2 Laserra, Ettore
2 Lehner, Thierry
2 Li, Yueling
2 Nagasawa, Masao
2 Nasef, Arafa A.
2 Oñate Ibáñez de Navarra, Eugenio
2 Paun, Viorel-Puiu
2 Pissondes, Jean-Claude
2 Rybaczuk, Marek
2 Selvam, Amujuri Mary
2 Weberszpil, Jose
2 Wen, Zhixiong
2 Wu, Min
2 Yang, Ciann-Dong
2 Zieliński, Witold
1 Aerts, Diederik Emiel
1 Agarwal, Praveen
1 Agop, Marcel
1 Ahmed, Elsayed
1 Al-Rashid, Saeed Naif Turki
1 Alatas, Husin
1 Ali, Karmina K.
1 Allegrini, Paolo
1 Andreadis, Ioannis
1 Anerot, Baptiste
1 Anukool, Waranont
1 Ashqi Abdullah, Milad
1 Aziz, Ahmad N.
1 Bădărău, Gh.
1 Barhalescu, Mihaela Luminita
1 Bershadskii, Alexander
1 Bhouri, Imen
1 Bibire, L.
1 Bongiorno, Donatella
1 Bracken, Paul Francis
1 Bulancea, V.
1 Cardoneanu, Anca
1 Cattani, Carlo
1 Cheng, De-Fu
1 Ciubotariu, Carmen-Iuliana
1 Ciubotariu, Corneliu D.
1 Coman, P.
1 Craciun, Anda-Mihaela
1 Critten, D. L.
1 Crumpei, Gabriel
1 Da Rocha, D.
...and 142 more Authors
all top 5

Cited in 62 Serials

161 Chaos, Solitons and Fractals
12 Journal of Mathematical Physics
10 Foundations of Physics
8 International Journal of Theoretical Physics
8 Physics Letters. A
6 Annals of Physics
4 Modern Physics Letters A
4 International Journal of Modern Physics A
3 Journal of Mathematical Analysis and Applications
3 Physica A
3 Fractals
3 Advances in Applied Clifford Algebras
3 Journal of High Energy Physics
3 Entropy
3 International Journal of Geometric Methods in Modern Physics
3 Quantum Studies: Mathematics and Foundations
2 Classical and Quantum Gravity
2 General Relativity and Gravitation
2 Mathematical Methods in the Applied Sciences
2 Applied Mathematics and Computation
2 Fractional Calculus & Applied Analysis
2 Foundations of Science
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Journal of Applied Mathematics and Computing
2 Advances in Difference Equations
2 Computational & Mathematical Methods in Medicine
2 Advances in High Energy Physics
1 Applicable Analysis
1 Computers & Mathematics with Applications
1 Computer Methods in Applied Mechanics and Engineering
1 European Journal of Physics
1 Journal of Computational Physics
1 Letters in Mathematical Physics
1 Nuclear Physics. B
1 Physics Letters. B
1 Journal of Geometry and Physics
1 Advances in Mathematics
1 Journal of Optimization Theory and Applications
1 Cybernetics and Systems
1 Numerical Algorithms
1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
1 Physics of Fluids
1 Journal of Applied Analysis
1 Nonlinear Dynamics
1 Journal of Inequalities and Applications
1 Chaos
1 Acta Mathematica Sinica. English Series
1 Communications in Nonlinear Science and Numerical Simulation
1 Qualitative Theory of Dynamical Systems
1 Journal of Cosmology and Astroparticle Physics
1 Journal of Statistical Mechanics: Theory and Experiment
1 Foundations of Physics Letters
1 Waves in Random and Complex Media
1 Journal of Physics A: Mathematical and Theoretical
1 Chinese Journal of Physics (Taipei)
1 Analele Universității de Vest din Timișoara. Seria Matematică-Informatică
1 Advances in Mathematical Physics
1 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications
1 Journal of Theoretical Biology
1 Mathematical Sciences
1 Discontinuity, Nonlinearity, and Complexity
1 AIMS Mathematics
all top 5

Cited in 45 Fields

144 Quantum theory (81-XX)
107 Relativity and gravitational theory (83-XX)
44 Measure and integration (28-XX)
31 Dynamical systems and ergodic theory (37-XX)
29 Statistical mechanics, structure of matter (82-XX)
24 Real functions (26-XX)
21 Probability theory and stochastic processes (60-XX)
20 Partial differential equations (35-XX)
19 Mechanics of particles and systems (70-XX)
14 Differential geometry (53-XX)
13 Ordinary differential equations (34-XX)
12 Astronomy and astrophysics (85-XX)
9 General and overarching topics; collections (00-XX)
9 Calculus of variations and optimal control; optimization (49-XX)
8 Global analysis, analysis on manifolds (58-XX)
8 Fluid mechanics (76-XX)
8 Information and communication theory, circuits (94-XX)
7 Difference and functional equations (39-XX)
7 General topology (54-XX)
6 Statistics (62-XX)
5 Number theory (11-XX)
5 Linear and multilinear algebra; matrix theory (15-XX)
5 Optics, electromagnetic theory (78-XX)
4 Algebraic geometry (14-XX)
4 Operator theory (47-XX)
4 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
4 Biology and other natural sciences (92-XX)
3 Mathematical logic and foundations (03-XX)
3 Integral transforms, operational calculus (44-XX)
3 Manifolds and cell complexes (57-XX)
3 Numerical analysis (65-XX)
3 Systems theory; control (93-XX)
2 Topological groups, Lie groups (22-XX)
2 Functional analysis (46-XX)
2 Convex and discrete geometry (52-XX)
2 Mechanics of deformable solids (74-XX)
1 Combinatorics (05-XX)
1 Group theory and generalizations (20-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Special functions (33-XX)
1 Sequences, series, summability (40-XX)
1 Approximations and expansions (41-XX)
1 Geometry (51-XX)
1 Computer science (68-XX)
1 Classical thermodynamics, heat transfer (80-XX)

Citations by Year