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Human Interaction Proofs Based on Emerging and Multistable Images: A Practical Application of the Theory of Representation of Algebras
(Departamento de MatemáticasUniversidad Nacional de Colombia - Sede Bogotá, 2019-11-20)
We explore the use of the theory of representation of algebras to construct emerging image-repositories, such emerging images are used in different types of human interaction proofs (HIPs). These tests are able to tell ...
Dynkin Functions and Its Applications
(Universidad Nacional de ColombiaBogotá - Ciencias - Doctorado en Ciencias - MatemáticasDepartamento de MatemáticasFacultad de CienciasBogotáUniversidad Nacional de Colombia - Sede Bogotá, 2020-10)
Dynkin functions were introduced by Ringel as a tool to investigate combinatorial properties of hereditary artin algebras. According to Ringel, a Dynkin function consists of four sequences associated to An, Bn, Cn, Dn and ...
Symbiosis between quantum physics and machine learning: Applications in data science, many-body physics and quantum computation
(Universidad Nacional de ColombiaBogotá - Ciencias - Doctorado en Ciencias - FísicaFacultad de CienciasBogotá, ColombiaUniversidad Nacional de Colombia - Sede Bogotá, 2022-12-01)
This thesis explores the intersections between quantum computing, quantum physics and machine learning. In the three fields, estimating probability distributions plays a central role. In the case of quantum computing and ...
The Auslander-Reiten Quiver of Equipped Posets of Finite Growth Representation Type, some Functorial Descriptions and Its Applications
(Bogotá - Ciencias - Doctorado en Ciencias - MatemáticasDepartamento de MatemáticasUniversidad Nacional de Colombia - Sede Bogotá, 2020-05-18)
The theory of representation of partially ordered sets or posets was introduced in the early 1970's as an effort to give an answer to the second Brauer-Thrall conjecture. Recall that one of the main goals of this theory ...