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Editorial policy for the journal specifies that "The journal publishes short communications, research and review articles devoted to the application of geometric methods (including differential geometry, algebraic geometry, global analysis and topology) to quantum field theory, non-perturbative quantum gravity, string and brane theory, quantum ...
In mathematics, geometry and topology is an umbrella term for the historically distinct disciplines of geometry and topology, as general frameworks allow both disciplines to be manipulated uniformly, most visibly in local to global theorems in Riemannian geometry, and results like the Gauss–Bonnet theorem and Chern–Weil theory .
History. The journal was established in 2007 with Anatole Katok as the founding editor-in-chief. It covers the theory of dynamical systems with particular emphasis on the mutual interaction between dynamics and other major areas of mathematical research: number theory, symplectic geometry, differential geometry, rigidity, quantum chaos, Teichmüller theory, geometric group theory, and harmonic ...
According to the Journal Citation Reports, the journal has a 2020 impact factor of 4.000, ranking it 8th out of 52 journals in the category "Social Sciences, Mathematical Methods", 15th of 108 journals in the category of "Mathematics, Interdisciplinary Applications", and 31st of 177 journals in "Public, Environmental & Occupational Health ...
Fractal analysis is assessing fractal characteristics of data.It consists of several methods to assign a fractal dimension and other fractal characteristics to a dataset which may be a theoretical dataset, or a pattern or signal extracted from phenomena including topography, natural geometric objects, ecology and aquatic sciences, sound, market fluctuations, heart rates, frequency domain in ...
Fractal geometry lies within the mathematical branch of measure theory. One way that fractals are different from finite geometric figures is how they scale . Doubling the edge lengths of a filled polygon multiplies its area by four, which is two (the ratio of the new to the old side length) raised to the power of two (the conventional dimension ...
The SIAM Journal on Matrix Analysis and Applications (until 1989: SIAM Journal on Algebraic and Discrete Methods) is a peer-reviewed scientific journal covering matrix analysis and its applications. The relevant applications include signal processing, systems and control theory, statistics, Markov chains , mathematical biology, graph theory ...
Computational Geometry, also known as Computational Geometry: Theory and Applications, is a peer-reviewed mathematics journal for research in theoretical and applied computational geometry, its applications, techniques, and design and analysis of geometric algorithms.
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