Titlebook: Atomicity through Fractal Measure Theory; Mathematical and Phy Alina Gavriluţ,Ioan Mercheş,Maricel Agop Book 2019 Springer Nature Switzerla

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Atomicity via regularity for non-additive set multifunctions,In this chapter, atomicity is discussed via regularity for set multifunctions taking values in the family of all non- void subsets of a topological space.

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Extended atomicity through non-differentiability and its physical implications,In this chapter, atomicity is presented via quantum measure theory and some of its physical applications are highlighted. Precisely, the mathematical concept of (minimal) atomicity is extended from a physical perspective, based on the non-differentiability of motion curves.

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Book 2019lications to quantum physics and, more generally, to the fractal theory of the motion, are highlighted. The study details the atomicity problem through key concepts, such as the atom/pseudoatom, atomic/nonatomic measures, and different types of non-additive set-valued multifunctions. Additionally, a

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Book 2019The mathematical perspective is presented first and the discussion moves on to connect measure theory and quantum physics through quantum measure theory. New avenues of research, such as fractal/multifractal measure theory with potentialapplications in life sciences, are opened..

Minikin

On a multifractal theory of motion in a non-differentiable space: Toward a possible multifractal th

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