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• Several versions

### On Functions of Several Split-Quaternionic Variables

Grantcharov, Gueo, Montoya, Camilo
Advances in Mathematical Physics, 2016, Vol.2016, 12 pages [Peer Reviewed Journal]

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### ¡Y danos salud y vida! Enfermedades en el Valle Central chileno, siglo XIX

Bustos Montoya, Camilo
SudHistoria: Revista digital en estudios desde el sur, 2011, Issue 2, pp.1-32
Fundación Dialnet
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Title: ¡Y danos salud y vida! Enfermedades en el Valle Central chileno, siglo XIX
Author: Bustos Montoya, Camilo
Subject: Enfermedades ; Epidemias ; Sociedad Rural Chilena ; Historia De La Medicina ; Diseases ; Epidemics ; Rural Chilean Society ; History Of Medicine
Description: This article attempts an approach, from the historical point of view, to the study of diseases that affected the Chilean Central Valley society in the nineteenth century. We will analyze the life conditions of the society of the time and various factors that influenced the diseases propagation, the main characteristics of the mentioned ones and their effects on people. Finally, we will know what were the decisions taken by both the State and the people themselves, to combat the ills in the context of a traditional society.
El presente artículo busca un acercamiento, desde el punto de vista histórico, al estudio de las enfermedades que afectaron a la sociedad del Valle Central chileno en el siglo XIX. Se analizarán las condiciones de vida de la sociedad de la época y los diversos factores que incidieron en la propagación de las enfermedades, las principales características de éstas y sus efectos en las personas. Finalmente, conoceremos cuáles fueron las medidas tomadas por el Estado y por los propios pobladores para combatir los males, en el marco de una sociedad tradicional.
Is part of: SudHistoria: Revista digital en estudios desde el sur, 2011, Issue 2, pp.1-32
Identifier: 0718-9427 (ISSN)
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### Bone Allograft Prosthesis Composite to Revise a Failed Massive Allo-Prosthesis: Case Report and 10 Years of Follow-Up

Medellin, Manuel R, Abiad, Alejandro, Salinas, Vanessa, Gomez-Mier, Luis Carlos, Soto Montoya, Camilo
Cureus, 19 December 2020, Vol.12(12), pp.e12172 [Peer Reviewed Journal]
MEDLINE/PubMed (U.S. National Library of Medicine)
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Title: Bone Allograft Prosthesis Composite to Revise a Failed Massive Allo-Prosthesis: Case Report and 10 Years of Follow-Up
Author: Medellin, Manuel R; Abiad, Alejandro; Salinas, Vanessa; Gomez-Mier, Luis Carlos; Soto Montoya, Camilo
Subject: Allograft Prosthesis ; Bone Allograft ; Osteochondral Allograft ; Revision Surgery
Description: An 18-year-old male patient with a high-grade osteosarcoma was initially treated with resection and reconstruction using an osteochondral allograft. The allograft collapsed after five years, and thus a revision with a constrained knee prosthesis was performed. After one year, the implant failed due to a fracture, requiring another revision with a new allo-prosthetic composite. The long-term results were satisfactory. Allo-prosthetic composites may offer good long-term results after sarcoma resection. The failure of a massive bone allograft does not preclude the use of another allograft to maintain the bone stock and preserve the function.
Is part of: Cureus, 19 December 2020, Vol.12(12), pp.e12172
Identifier: 2168-8184 (ISSN); 33489583 Version (PMID); 10.7759/cureus.12172 (DOI)
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### Laplace eigenfunctions on Riemannian symmetric spaces and Borel-Weil Theorem

Grantcharov, Dimitar, Grantcharov, Gueo, Montoya, Camilo
arXiv.org, Feb 11, 2021
© ProQuest LLC All rights reserved, Engineering Database, Publicly Available Content Database, ProQuest Engineering Collection, ProQuest Technology Collection, ProQuest SciTech Collection, Materials Science & Engineering Database, ProQuest Central (new), ProQuest Central Korea, SciTech Premium Collection, Technology Collection, ProQuest Central Essentials, ProQuest One Academic, Engineering Collection (ProQuest)
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Title: Laplace eigenfunctions on Riemannian symmetric spaces and Borel-Weil Theorem
Author: Grantcharov, Dimitar; Grantcharov, Gueo; Montoya, Camilo
Contributor: Montoya, Camilo (pacrepositoryorg)
Subject: Flags ; Manifolds (Mathematics) ; Toruses ; Eigenvectors ; Polynomials ; Differential Geometry
Description: We indicate a geometric relation between Laplace-Beltrami spectra and eigenfunctions on compact Riemannian symmetric spaces and the Borel-Weil theory using ideas from symplectic geometry and geometric quantization. This is done by associating via Marsden-Weinstein reduction a generalized flag manifold parametrizing all maximal totally geodesic tori to each compact Riemannian symmetric space. In the process we notice a direct relation between the Satake diagram of the symmetric space and the painted Dynkin diagram of its associated flag manifold. We consider in detail the examples of the classical simply-connected spaces of rank one and the space SU(3)/SO(3). In the second part of the paper we provide a construction of harmonic polynomials inducing Laplace-Beltrami eigenfunctions on the symmetric space from holomorphic sections of the associated line bundle on the generalized flag manifold. We show that in the examples we consider the construction provides all of the eigenfunctions.
Is part of: arXiv.org, Feb 11, 2021
Identifier: 2331-8422 (E-ISSN)
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### Laplace eigenfunctions on Riemannian symmetric spaces and Borel-Weil Theorem

Grantcharov, Dimitar, Grantcharov, Gueo, Montoya, Camilo
Cornell University
Available
Title: Laplace eigenfunctions on Riemannian symmetric spaces and Borel-Weil Theorem
Author: Grantcharov, Dimitar; Grantcharov, Gueo; Montoya, Camilo
Subject: Mathematics - Differential Geometry ; High Energy Physics - Theory ; Mathematics - Algebraic Geometry ; Mathematics - Representation Theory
Description: We indicate a geometric relation between Laplace-Beltrami spectra and eigenfunctions on compact Riemannian symmetric spaces and the Borel-Weil theory using ideas from symplectic geometry and geometric quantization. This is done by associating to each compact Riemannian symmetric space, via Marsden-Weinstein reduction, a generalized flag manifold which covers the space parametrizing all of its maximal totally geodesic tori. In the process we notice a direct relation between the Satake diagram of the symmetric space and the painted Dynkin diagram of its associated flag manifold. We consider in detail the examples of the classical simply-connected spaces of rank one and the space SU(3)/SO(3). In the second part of the paper we provide a construction of harmonic polynomials inducing Laplace-Beltrami eigenfunctions on the symmetric space from holomorphic sections of the associated line bundle on the generalized flag manifold. We show that in the examples we consider the construction provides... Comment: Few clarifications and minor changes
Identifier: 2102.06255 (ARXIV ID)
• Several versions

### Extrapulmonary tuberculosis: mimicking metastases in a patient with melanoma in a high TB-burden country; case report

Salinas-Álvarez, Vanessa, Gómez-Torres, Carolinie, Garzón-Cubides, Julián, Gómez-Mier, Luis Carlos, Soto-Montoya, Camilo
Radiology case reports, November 2020, Vol.15(11), pp.2471-2476 [Peer Reviewed Journal]

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