Singular Distributions With Special Structures and Symmetries

Dear Colleagues,

The aim of our Special Issue, titled “Singular Distributions with Special Structures and Symmetries”, is to bring together outstanding theoretical contributions to singular geometric distributions, adapting special structures and symmetries from various mathematical and physical research areas, but with real-world applications. Some of the topics of interest include:

• Special structures specific to all mathematical or physical areas, which can offer outstanding examples to motivate general notions. They have specific symmetries that sometimes determine their theoretical force;
• Singular geometric distributions, which are involved in many concrete applications, mostly in mechanics and control, but also elsewhere;
• Lagrangians and Hamiltonians, whose use is adapted to singular geometric distributions, such as singular foliations, and which can be performed as in some classical cases;
• The anchored approach used for singular geometric distributions, which can provide general structures and symmetries in an analogous way to classical cases; 
• Classical generalizations using different types of algebroids or groupoids, which can be transferred to the study of singular structures and symmetries using classical methods for regular structures.

Our belief is that certain methods of discretization, such that the Veselov type of tangent spaces, can be extended to more general cases. The investigation of their properties, including symmetries, is therefore of extreme importance.

Prof. Dr. Paul Popescu
Guest Editor

Manuscript Submission Information

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