Abstract
In this chapter, a multifractal theory of motion is built up and, moreover, a possible multifractal theory of measure is proposed.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Cresson, J., Adda, F.B.: Quantum derivatives and the Schrödinger equation. Chaos Solitons Fractals 19, 1323–1334 (2004)
Cristescu, C.P.: Dinamici Neliniare şi Haos. Fundamente Teoretice şi Aplicaţii (in Romanian). Romanian Academy Publishing House, Bucureşti (2008)
Mercheş, I., Agop, M.: Differentiability and Fractality in Dynamics of Physical Systems. World Scientific Publisher, Singapore (2016)
Mandelbrot, B.: The Fractal Geometry of Nature. W.H. Freeman Publishers, New York (1982)
Notalle, L.: Scale Relativity and Fractal Space-Time: A New Approach to Unifying Relativity and Quantum Mechanics. Imperial College Press, London (2011)
Phillips, A.C.: Introduction to Quantum Mechanics. Wiley, New York (2003)
Schlichting, H.: Boundary Layer Theory. McGraw-Hill, New York (1970)
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2019 Springer Nature Switzerland AG
About this chapter
Cite this chapter
Gavriluţ, A., Mercheş, I., Agop, M. (2019). On a multifractal theory of motion in a non-differentiable space: Toward a possible multifractal theory of measure. In: Atomicity through Fractal Measure Theory. Springer, Cham. https://doi.org/10.1007/978-3-030-29593-6_11
Download citation
DOI: https://doi.org/10.1007/978-3-030-29593-6_11
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-29592-9
Online ISBN: 978-3-030-29593-6
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)