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Atomicity through Fractal Measure Theory : Mathematical and Physical Fundamentals with Applications
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The work ** Atomicity through Fractal Measure Theory : Mathematical and Physical Fundamentals with Applications** represents a distinct intellectual or artistic creation found in **European University Institute**. This resource is a combination of several types including: Work, Language Material, Books.

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Atomicity through Fractal Measure Theory : Mathematical and Physical Fundamentals with Applications
Resource Information

The work

**Atomicity through Fractal Measure Theory : Mathematical and Physical Fundamentals with Applications**represents a distinct intellectual or artistic creation found in**European University Institute**. This resource is a combination of several types including: Work, Language Material, Books.- Label
- Atomicity through Fractal Measure Theory : Mathematical and Physical Fundamentals with Applications

- Title remainder
- Mathematical and Physical Fundamentals with Applications

- Statement of responsibility
- by Alina Gavriluţ, Ioan Mercheş, Maricel Agop

- Language
- eng

- Summary
- This book presents an exhaustive study of atomicity from a mathematics perspective in the framework of multi-valued non-additive measure theory. Applications 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, applications of these concepts are brought to light in the study of the dynamics of complex systems. The first chapter prepares the basics for the next chapters. In the last chapter, applications of atomicity in quantum physics are developed and new concepts, such as the fractal atom are introduced. The 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 potential applications in life sciences, are opened.--

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- Provided by publisher

- Image bit depth
- 0

- Literary form
- non fiction

- Nature of contents
- dictionaries

- Series statement
- Springer eBooks.

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