Global and Stochastic Analysis (GSA)
 



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Inviting Articles


Last date of submission: 30th June 2016


Acceptance till : 31st July 2016


SPECIAL ISSUE ONSingularity ''

 

Call for Papers

 

Singularity can have various meanings in mathematics. One can understand it, for example, as a point of the space, where certain object over this space, cannot be properly defined, or where this object fails to behave well. For example, the differentiability of a real function of one variable in a certain point. But mathematicians also use the term ''singularity theory'' to describe situations, in which the structure of a differentiable manifold fails. Indeed, the differential geometry can be understood as a joint of two theories: theory of manifolds and theory of singular spaces. The scope of this journal is to present results from the last theory and their interactions with other disciplines.

 

Indeed, many mathematical models can be described efficiently on the basis of classical notions of smooth functions, manifolds, etc. But, on the other hand, there is a lot of problems, in which the classical structures are not enough. Let us mention, just a few examples: gravitational singularities (i.e., black holes), orbifolds, singular points of an algebraic variety, singularities of solutions of PDEs. Moreover, in applications, one has to deal with cusps in wavefronts, caustics, catastrophe theory, vortexes, ''singular structures'' in engineering, microstructures, and many others. Surely they all pose interesting challenges for mathematicians.

 

The main scope of this special issue of the journal is to present high quality papers focused on generalisations of the already known mathematical structures and their applications. A special emphasis is put on the generalisations of the concept of a differentiable manifold. However, also papers from other sciences are welcome, if they are based on, or significantly linked with, mathematical methods.

 

The submitted paper must be of original research and offer new insight into mathematical structure(s). But expository and survey papers are also welcome. Purely theoretical, as well as, applied approach is acceptable. 2 issues per year will be published.

 

By submitting the manuscript, the Authors warrants that

·         this manuscript is their original work and all others' results are properly cited,

·         the manuscript has not been published yet and is not submitted elsewhere,

·         there are no copyrights of third parties' of this manuscript.

 

All published papers will be peer-reviewed. Authors requested to send their articles at gsa.editor@gmail.com. Authors should suggest 2-3 potential reviewers. Notice that suggesting improper reviewers will lead to the immediate rejection. Usually, the review process would take 1-2 months, but in case of interdisciplinary papers it can take longer time. In case of strong interdisciplinary content the paper will be reviewed by specialist(s) from all mentioned academic disciplines.

 

In particular, Authors are invited to submit papers in any of the following areas (but not limited to):

·         Lagrangian mechanics,

·         Hamiltonian mechanics,

·         symplectic geometry,

·         contact geometry,

·         Riemannian geometry,

·         pseudo-Riemannian geometry,

·         abstract differential geometry,

·         synthetic differential geometry,

·         noncommutative geometry,

·         discrete differential geometry,

·         analysis on fractals,

·         mathematical physics,

·         geometric modeling, 

·         geometric control,

·         dynamical systems,

·         differential equations.

 

Moreover, we are interested in papers including differential geometric methods or investigation of geometrical structures in:

·         natural sciences,

·         engineering,

·         electronics,

·         electrical systems,

·         mechatronic systems,

·         automation,

·         robotics,

·         analyse of shapes,

·         image processing,

·         signal processing,

·         energy,

·         informatics,

·         information technology,

·         artificial intelligence,

·         cognitive science,

·         neural networks. 

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