NON-DIFFERENTIABLE DEFORMATIONS OF ℝn

DOI10.1142/S0219887806001752zbMath1110.58020MaRDI QIDQ3426868

Jacky Cresson

Publication date: 13 March 2007

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

zbMATH Keywords

scale lawscale manifoldsscale space-time manifold

Mathematics Subject Classification ID

Deformations of general structures on manifolds (58H15) Differential invariants (local theory), geometric objects (53A55)

Related Items (4)

Generalized Euler-Lagrange equations for variational problems with scale derivatives ⋮ On the chameleonic behaviour of cholesterol through a fractal/multifractal model ⋮ Multiscale functions, scale dynamics, and applications to partial differential equations ⋮ The stochastisation hypothesis and the spacing of planetary systems

Cites Work

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• Scale relativity and fractal space-time: applications to quantum physics, cosmology and chaotic systems.
• Scale relativity theory for one-dimensional non-differentiable manifolds
• Quantum derivatives and the Schrödinger equation
• Prevalence: a translation-invariant “almost every” on infinite-dimensional spaces
• THE THEORY OF SCALE RELATIVITY
• Possible Kinematics

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