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Noncommutative geometry and quantization 

Várilly Boyle, Joseph C. (2000-06)
We examine some recent developments in noncommutative geometry, including spin geometries on noncommutative tori and their quantization by the Shale-Stinespring procedure, as well as the emergence of Hopf algebras as a ...
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The interface of noncommutative geometry and physics 

Várilly Boyle, Joseph C. (2004-01)
As a mathematical theory per se, noncommutative geometry (NCG) is by now well established. From the beginning, its progress has been crucially influenced by quantum physics: we briefly review this development in recent ...

On the kinematics of the last Wigner particle 

Gracia Bondía, José M.; Várilly Boyle, Joseph C. (2019)
Wigner's particle classification provides for "continuous spin" representations of the Poincaré group, corresponding to a class of (as yet unobserved) massless particles. Rather than building their induced realizations by ...
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Virtual Coarse Spaces for Irregular Subdomain Decompositions 

Calvo Alpízar, Juan Gabriel (2020-10-25)
On the other hand, Virtual Element Methods (VEM) [1, 12, 13] allow to handle general polygonal elements. In the case of triangular elements, VEM reduces to the usual FEM. Thus, VEM is a natural choice for constructing space ...

Drinking as an epidemic - a simple mathematical model with recovery and relapse 

Sánchez Peña, Fabio Ariel; Wang, Xiaohong; Castillo Chávez, Carlos; Gorman, Dennis M.; Gruenewald, Paul J. (2007)
This chapter discusses a simple mathematical model of drinking lapse. Problem drinking is modeled as an acquired state - the result of frequent or intense interactions among individuals in three drinking states within a ...
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Hopf algebras in noncommutative geometry 

Várilly Boyle, Joseph C. (2003)
We give an introductory survey to the use of Hopf algebras in several problems of noncommutative geometry. The main example, the Hopf algebra of rooted trees, is a graded, connected Hopf algebra arising from a universal ...

Clustering via ant colonies: Parameter analysis and improvement of the algorithm 

Chavarría Molina, Jeffry; Fallas Monge, Juan José; Trejos Zelaya, Javier (2020-04-18)
An ant colony optimization approach for partitioning a set of objects is proposed. In order to minimize the intra-variance, or within sum-of-squares, of the partitioned classes, we construct ant-like solutions by a ...

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AuthorVárilly Boyle, Joseph C. (4)Calvo Alpízar, Juan Gabriel (1)Castillo Chávez, Carlos (1)Chavarría Molina, Jeffry (1)Fallas Monge, Juan José (1)Gorman, Dennis M. (1)Gracia Bondía, José M. (1)Gruenewald, Paul J. (1)Sánchez Peña, Fabio Ariel (1)Trejos Zelaya, Javier (1)... View MoreType
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