×

zbMATH — the first resource for mathematics

Nottale, Laurent

Compute Distance To:
Author ID: nottale.laurent Recent zbMATH articles by "Nottale, Laurent"
Published as: Nottale, Laurent; Nottale, L.
Documents Indexed: 36 Publications since 1982, including 2 Books

Publications by Year

Citations contained in zbMATH Open

30 Publications have been cited 338 times in 212 Documents Cited by Year
Fractal space-time and microphysics. Towards a theory of scale relativity. Zbl 0789.58003
Nottale, Laurent
129
1993
Scale relativity and fractal space-time: applications to quantum physics, cosmology and chaotic systems. Zbl 1080.81525
Nottale, L.
47
1996
The theory of scale relativity. Zbl 0954.81501
Nottale, Laurent
23
1992
Scale relativity and fractal space-time. A new approach to unifying relativity and quantum mechanics. Zbl 1222.83004
Nottale, Laurent
20
2011
The scale-relativity program. Zbl 0997.81526
Nottale, L.
15
1999
Scale relativity, fractal space-time and quantum mechanics. Zbl 0805.58057
Nottale, Laurent
10
1994
Quantum–classical transition in scale relativity. Zbl 1098.81730
Célérier, Marie-Noëlle; Nottale, Laurent
9
2004
The impact of nonlinear dynamics and fractals on quantum physics and relativity. Zbl 0935.00017
Ord, G. (ed.); Nottale, L. (ed.); El Naschie, M. S. (ed.)
7
1998
The Pauli equation in scale relativity. Zbl 1106.81030
Célérier, Marie-Noëlle; Nottale, Laurent
6
2006
Derivation of the postulates of quantum mechanics from the first principles of scale relativity. Zbl 1126.81008
Nottale, Laurent; Célérier, Marie-Noëlle
6
2007
Non-Abelian gauge field theory in scale relativity. Zbl 1111.81119
Nottale, Laurent; Célérier, Marie-Noëlle; Lehner, Thierry
6
2006
Gravitational structure formation in scale relativity. Zbl 1035.83021
Da Rocha, D.; Nottale, L.
5
2003
Scale relativity and fractal space-time: theory and applications. Zbl 1201.83056
Nottale, Laurent
5
2010
Scale relativity: from quantum mechanics to chaotic dynamics. Zbl 0905.58053
Nottale, Laurent
5
1995
Scale relativity: First steps toward a field theory. Zbl 0863.58093
Nottale, Laurent
5
1994
Generalized quantum potentials. Zbl 1167.81015
Nottale, Laurent
4
2009
Scale relativity and quantization of planet obliquities. Zbl 0970.70013
Nottale, L.
4
1998
Scale relativity and Schrödinger’s equation. Zbl 0938.83008
Nottale, L.
4
1998
New formulation of stochastic mechanics. Application to chaos. Zbl 0873.70017
Nottale, Laurent
4
1995
Scale relativity and gauge invariance. Zbl 1012.83506
Nottale, Laurent
4
2001
Scale-relativistic cosmology. Zbl 1035.83510
Nottale, Laurent
3
2003
On the transition from the classical to the quantum regime in fractal space-time theory. Zbl 1069.81025
Nottale, L.
3
2005
Origin of complex and quaternionic wavefunctions in quantum mechanics: the scale-relativistic view. Zbl 1181.81053
Nottale, Laurent
3
2008
Scale relativity. Zbl 0976.83005
Nottale, Laurent
3
1997
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
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
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: the redshift equations. Zbl 0505.70014
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
20
2011
Scale relativity and fractal space-time: theory and applications. Zbl 1201.83056
Nottale, Laurent
5
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
4
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
6
2007
The Pauli equation in scale relativity. Zbl 1106.81030
Célérier, Marie-Noëlle; Nottale, Laurent
6
2006
Non-Abelian gauge field theory in scale relativity. Zbl 1111.81119
Nottale, Laurent; Célérier, Marie-Noëlle; Lehner, Thierry
6
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
9
2004
Gravitational structure formation in scale relativity. Zbl 1035.83021
Da Rocha, D.; Nottale, L.
5
2003
Scale-relativistic cosmology. Zbl 1035.83510
Nottale, Laurent
3
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
4
2001
The scale-relativity program. Zbl 0997.81526
Nottale, L.
15
1999
The impact of nonlinear dynamics and fractals on quantum physics and relativity. Zbl 0935.00017
Ord, G.; Nottale, L.; El Naschie, M. S.
7
1998
Scale relativity and quantization of planet obliquities. Zbl 0970.70013
Nottale, L.
4
1998
Scale relativity and Schrödinger’s equation. Zbl 0938.83008
Nottale, L.
4
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.
47
1996
Scale relativity: from quantum mechanics to chaotic dynamics. Zbl 0905.58053
Nottale, Laurent
5
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
10
1994
Scale relativity: First steps toward a field theory. Zbl 0863.58093
Nottale, Laurent
5
1994
Fractal space-time and microphysics. Towards a theory of scale relativity. Zbl 0789.58003
Nottale, Laurent
129
1993
The theory of scale relativity. Zbl 0954.81501
Nottale, Laurent
23
1992
Perturbation of the magnitude-redshift relation in an inhomogeneous relativistic model: the redshift equations. Zbl 0505.70014
Nottale, L.
1
1982
all top 5

Cited by 187 Authors

19 Agop, Maricel
17 El Naschie, Mohamed Saladin
17 Nottale, Laurent
12 Cresson, Jacky
12 Jumarie, Guy M.
10 Sidharth, Burra Gautam
9 Ord, Garnet N.
8 Nica, Petrică
7 Buzea, Călin Gheorghe
5 Célérier, Marie-Noëlle
5 Ioannou, Pavlos D.
4 El-Nabulsi, Rami Ahmad
4 Saniga, Metod
3 Ben Adda, Fayçal
3 Boyarsky, Abraham
3 Czachor, Marek
3 Dai, Chaoshou
3 Gavrilut, Alina Cristiana
3 Iovane, Gerardo
3 Pierret, Frédéric
3 Prodanov, Dimiter
3 Shehata, Enas M.
3 Torres, Delfim Fernando Marado
3 Wang, Qiuping Alexandre
2 Almeida, Ricardo
2 Băleanu, Dumitru I.
2 Calcagni, Gianluca
2 Ciobanu, Brânduşa
2 El Zafarani, Rasha M.
2 Fadnavis, Suvarna
2 Faried, Nashat
2 Fliess, Michel
2 Gîrţu, Manuela
2 Goldfain, Ervin
2 Golmankhaneh, Alireza Khalili
2 Góra, Paweł
2 Greff, Isabelle
2 Grössing, Gerhard
2 Laserra, Ettore
2 Lehner, Thierry
2 Li, Yueling
2 Nagasawa, Masao
2 Oñate Ibáñez de Navarra, Eugenio
2 Paun, Viorel-Puiu
2 Pissondes, Jean-Claude
2 Rybaczuk, Marek
2 Selvam, A. Mary
2 Weberszpil, Jose
2 Yang, Ciann-Dong
2 Zieliński, Witold
1 Aerts, Diederik Emiel
1 Agarwal, Praveen
1 Agop, Marcel
1 Akhmet, Marat Ubaydulla
1 Al-Rashid, Saeed Naif Turki
1 Alejaily, Ejaily Milad
1 Allegrini, Paolo
1 Anerot, Baptiste
1 Argyris, John Hadji
1 Augenstein, Bruno W.
1 Bădărău, Gh.
1 Barhalescu, Mihaela Luminita
1 Bershadskii, Alexander
1 Bibire, L.
1 Bory Reyes, Juan
1 Bracken, Paul Francis
1 Bulancea, V.
1 Cardoneanu, Anca
1 Carneiro, Saulo
1 Carroll, Robert W.
1 Castro Perelman, Carlos
1 Cattani, Carlo
1 Cheng, De-Fu
1 Ciobanu, Gabriela
1 Ciubotariu, Carmen-Iuliana
1 Coman, P.
1 Craciun, Anda-Mihaela
1 Critten, D. L.
1 Crumpei, Gabriel
1 Da Rocha, D.
1 Dandu Bibire, Tatiana
1 Datta, Dhurjati Prasad
1 de Oliveira Neto, Marçal
1 Deakin, A. Stanley
1 Dehghani, Mehdi
1 Doroftei, Bogdan
1 Ebrahimi, Aghileh S.
1 Fen, Mehmet Onur
1 Fernández Martínez, Manuel
1 Fussy, Siegfried
1 Garcia-Espinosa, Julio
1 Gargiulo, Giuliano
1 Gavriluţ, Gabriel
1 Ghenadi, A. S.
1 Ghizdovat, Vlad
1 Giordano, Paola
1 Giuntoli, Martina
1 Golmankhaneh, Ali Khalili
1 Gottlieb, Ioan
1 Granik, Alex
...and 87 more Authors
all top 5

Cited in 49 Serials

110 Chaos, Solitons and Fractals
12 Journal of Mathematical Physics
9 Foundations of Physics
8 International Journal of Theoretical Physics
5 Physics Letters. A
4 International Journal of Modern Physics A
3 Journal of Mathematical Analysis and Applications
3 Annals of Physics
3 Advances in Applied Clifford Algebras
3 Entropy
3 International Journal of Geometric Methods in Modern Physics
3 Quantum Studies: Mathematics and Foundations
2 Modern Physics Letters A
2 General Relativity and Gravitation
2 Physica A
2 Fractional Calculus & Applied Analysis
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Journal of Applied Mathematics and Computing
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 Journal of Computational Physics
1 Letters in Mathematical Physics
1 Mathematical Methods in the Applied Sciences
1 Nuclear Physics. B
1 Physics Letters. B
1 Advances in Mathematics
1 Applied Mathematics and Computation
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 Fractals
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 Foundations of Science
1 Journal of High Energy Physics
1 Qualitative Theory of Dynamical Systems
1 Advances in Difference Equations
1 Foundations of Physics Letters
1 Advances in Mathematical Physics
1 Journal of Theoretical Biology
1 Mathematical Sciences
all top 5

Cited in 42 Fields

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

Citations by Year