# zbMATH — the first resource for mathematics

## Nottale, Laurent

Compute Distance To:
 Author ID: nottale.laurent Published as: Nottale, Laurent; Nottale, L.
 Documents Indexed: 36 Publications since 1982, including 2 Books
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#### Co-Authors

 24 single-authored 7 Célérier, Marie-Noëlle 2 Lehner, Thierry 1 Chaline, Jean 1 Cresson, Jacky 1 Da Rocha, D. 1 El Naschie, Mohamed Saladin 1 Ferre, Michel 1 Grou, Pierre 1 Ord, Garnet N. 1 Vallet, Claude
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#### Serials

 12 Chaos, Solitons and Fractals 4 Journal of Mathematical Physics 3 Astronomy and Astrophysics 2 International Journal of Modern Physics A 2 Journal of Physics A: Mathematical and General 2 Journal of Physics A: Mathematical and Theoretical 1 Cahiers Systema 1 Advances in Applied Clifford Algebras 1 Foundations of Science
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#### Fields

 26 Relativity and gravitational theory (83-XX) 19 Quantum theory (81-XX) 10 Dynamical systems and ergodic theory (37-XX) 5 Mechanics of particles and systems (70-XX) 4 Astronomy and astrophysics (85-XX) 3 Measure and integration (28-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Geometry (51-XX) 1 General and overarching topics; collections (00-XX) 1 Differential geometry (53-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Fluid mechanics (76-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX)

#### 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
1993
Scale relativity and fractal space-time: applications to quantum physics, cosmology and chaotic systems. Zbl 1080.81525
Nottale, L.
1996
The theory of scale relativity. Zbl 0954.81501
Nottale, Laurent
1992
Scale relativity and fractal space-time. A new approach to unifying relativity and quantum mechanics. Zbl 1222.83004
Nottale, Laurent
2011
The scale-relativity program. Zbl 0997.81526
Nottale, L.
1999
Scale relativity, fractal space-time and quantum mechanics. Zbl 0805.58057
Nottale, Laurent
1994
Quantum–classical transition in scale relativity. Zbl 1098.81730
Célérier, Marie-Noëlle; Nottale, Laurent
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.)
1998
The Pauli equation in scale relativity. Zbl 1106.81030
Célérier, Marie-Noëlle; Nottale, Laurent
2006
Derivation of the postulates of quantum mechanics from the first principles of scale relativity. Zbl 1126.81008
Nottale, Laurent; Célérier, Marie-Noëlle
2007
Non-Abelian gauge field theory in scale relativity. Zbl 1111.81119
Nottale, Laurent; Célérier, Marie-Noëlle; Lehner, Thierry
2006
Gravitational structure formation in scale relativity. Zbl 1035.83021
Da Rocha, D.; Nottale, L.
2003
Scale relativity and fractal space-time: theory and applications. Zbl 1201.83056
Nottale, Laurent
2010
Scale relativity: from quantum mechanics to chaotic dynamics. Zbl 0905.58053
Nottale, Laurent
1995
Scale relativity: First steps toward a field theory. Zbl 0863.58093
Nottale, Laurent
1994
Generalized quantum potentials. Zbl 1167.81015
Nottale, Laurent
2009
Scale relativity and quantization of planet obliquities. Zbl 0970.70013
Nottale, L.
1998
Scale relativity and Schrödinger’s equation. Zbl 0938.83008
Nottale, L.
1998
New formulation of stochastic mechanics. Application to chaos. Zbl 0873.70017
Nottale, Laurent
1995
Scale relativity and gauge invariance. Zbl 1012.83506
Nottale, Laurent
2001
Scale-relativistic cosmology. Zbl 1035.83510
Nottale, Laurent
2003
On the transition from the classical to the quantum regime in fractal space-time theory. Zbl 1069.81025
Nottale, L.
2005
Origin of complex and quaternionic wavefunctions in quantum mechanics: the scale-relativistic view. Zbl 1181.81053
Nottale, Laurent
2008
Scale relativity. Zbl 0976.83005
Nottale, Laurent
1997
Emergence of complex and spinor wave functions in scale relativity. I: Nature of scale variables. Zbl 1284.81015
Nottale, Laurent; Célérier, Marie-Noëlle
2013
Scale relativity and quantization of the planetary system around the pulsar $$\text{PSR\quad B1257+12}$$. Zbl 0932.83009
Nottale, L.
1998
Electromagnetic Klein – Gordon and Dirac equations in scale relativity. Zbl 1202.81030
Célérier, Marie-Noëlle; Nottale, Laurent
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
2014
On the fractal structure of evolutionary trees. Zbl 1134.92354
Nottale, Laurent; Chaline, Jean; Grou, Pierre
2002
Perturbation of the magnitude-redshift relation in an inhomogeneous relativistic model: the redshift equations. Zbl 0505.70014
Nottale, L.
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
2014
Emergence of complex and spinor wave functions in scale relativity. I: Nature of scale variables. Zbl 1284.81015
Nottale, Laurent; Célérier, Marie-Noëlle
2013
Scale relativity and fractal space-time. A new approach to unifying relativity and quantum mechanics. Zbl 1222.83004
Nottale, Laurent
2011
Scale relativity and fractal space-time: theory and applications. Zbl 1201.83056
Nottale, Laurent
2010
Electromagnetic Klein – Gordon and Dirac equations in scale relativity. Zbl 1202.81030
Célérier, Marie-Noëlle; Nottale, Laurent
2010
Generalized quantum potentials. Zbl 1167.81015
Nottale, Laurent
2009
Origin of complex and quaternionic wavefunctions in quantum mechanics: the scale-relativistic view. Zbl 1181.81053
Nottale, Laurent
2008
Derivation of the postulates of quantum mechanics from the first principles of scale relativity. Zbl 1126.81008
Nottale, Laurent; Célérier, Marie-Noëlle
2007
The Pauli equation in scale relativity. Zbl 1106.81030
Célérier, Marie-Noëlle; Nottale, Laurent
2006
Non-Abelian gauge field theory in scale relativity. Zbl 1111.81119
Nottale, Laurent; Célérier, Marie-Noëlle; Lehner, Thierry
2006
On the transition from the classical to the quantum regime in fractal space-time theory. Zbl 1069.81025
Nottale, L.
2005
Quantum–classical transition in scale relativity. Zbl 1098.81730
Célérier, Marie-Noëlle; Nottale, Laurent
2004
Gravitational structure formation in scale relativity. Zbl 1035.83021
Da Rocha, D.; Nottale, L.
2003
Scale-relativistic cosmology. Zbl 1035.83510
Nottale, Laurent
2003
On the fractal structure of evolutionary trees. Zbl 1134.92354
Nottale, Laurent; Chaline, Jean; Grou, Pierre
2002
Scale relativity and gauge invariance. Zbl 1012.83506
Nottale, Laurent
2001
The scale-relativity program. Zbl 0997.81526
Nottale, L.
1999
The impact of nonlinear dynamics and fractals on quantum physics and relativity. Zbl 0935.00017
Ord, G.; Nottale, L.; El Naschie, M. S.
1998
Scale relativity and quantization of planet obliquities. Zbl 0970.70013
Nottale, L.
1998
Scale relativity and Schrödinger’s equation. Zbl 0938.83008
Nottale, L.
1998
Scale relativity and quantization of the planetary system around the pulsar $$\text{PSR\quad B1257+12}$$. Zbl 0932.83009
Nottale, L.
1998
Scale relativity. Zbl 0976.83005
Nottale, Laurent
1997
Scale relativity and fractal space-time: applications to quantum physics, cosmology and chaotic systems. Zbl 1080.81525
Nottale, L.
1996
Scale relativity: from quantum mechanics to chaotic dynamics. Zbl 0905.58053
Nottale, Laurent
1995
New formulation of stochastic mechanics. Application to chaos. Zbl 0873.70017
Nottale, Laurent
1995
Scale relativity, fractal space-time and quantum mechanics. Zbl 0805.58057
Nottale, Laurent
1994
Scale relativity: First steps toward a field theory. Zbl 0863.58093
Nottale, Laurent
1994
Fractal space-time and microphysics. Towards a theory of scale relativity. Zbl 0789.58003
Nottale, Laurent
1993
The theory of scale relativity. Zbl 0954.81501
Nottale, Laurent
1992
Perturbation of the magnitude-redshift relation in an inhomogeneous relativistic model: the redshift equations. Zbl 0505.70014
Nottale, L.
1982
all top 5