Hrdina, J. ; Hildenbrand, D. ; Návrat, A. ; Steinmetz, C. ; Alves, R. ; Lavor, C. ; Vasik, P. ; Eryganov, I. . Quantum Register Algebra: the mathematical language for quantum computing. Quantum Information Processing, v. 22, p. 328, 2023. (Link)
Lavor, C; Alves, R.; Fernandes, L. A. F.. Linear and geometric algebra approaches for sphere and spherical shell intersections in Rn. Expert Systems with Applications, v. 187, 115993, 2022. (Link)
Alves, R.; Hildenbrand, D.; Hrdina, J; Lavor, C. An Online Calculator for Quantum Computing Operations Based on Geometric Algebra. Advances in Applied Clifford Algebras 32, 4, 2022. (Link free access read only)
Alves, R.; Hildenbrand, D. ; Steinmetz, C. ; Uftring, P. . Efficient Development of Competitive Mathematica Solutions Based on Geometric Algebra with GAALOPWeb. Advances in Applied Clifford Algebras, v. 30, p. 59, 2020. (Link free access read only)
Lavor, C. ; Alves, R. ; Souza, M. ; Aragon, J. L. . NMR Protein Structure Calculation and Sphere Intersections. Computational and Mathematical Biophysics, v. 8, p. 89-101, 2020. (Link)
Lavor, Carlile ; Alves, Rafael . Oriented Conformal Geometric Algebra and the Molecular Distance Geometry Problem. Advances in Applied Clifford Algebras, v.29, 2019. (Link free access read only)
Alves, R.; Lavor, C. ; Souza, C. ; Souza, M. . Clifford algebra and discretizable distance geometry. Mathematical Methods in the Applied Sciences, v.41, p.4063– 4073, 2018. (Link)
Alves, R. e Lavor, C. Geometric algebra to model uncertainties in the discretizable molecular distance geometry problem. Advances in Applied Clifford Algebras, v. 27, p. 439-452, 2017. (Link free access read only)
Lavor, C. ; Alves, R. ; Figueiredo, W. ; Petraglia, A. ; Maculan, N. Clifford Algebra and the discretizable molecular distance geometry problem. Advances in Applied Clifford Algebras, v25, n.4, 2015. (Link free access read only)
Cassioli, A. ; Bardiaux, B. ; Bouvier, G. ; Mucherino, A. ; Alves, R. ; Liberti, L. ; Nilges, M. ; Lavor, C. ; Malliavin, T. E. An algorithm to enumerate all possible protein conformations verifying a set of distance restraints. BMC Bioinformatics, v. 16, n.23, 2015. (Link free access)
Alves, R. and Lavor, C. Clifford Algebra Applied to Grover's Algorithm. Advances in Applied Clifford Algebras, v. 20, p. 477-488, 2010. (Link free access read only)
Lavor, C.; Maculan, N.; Souza, M.; Alves, R.. Álgebra e Geometria no Cálculo de Estrutura Molecular. 1. ed. Rio de Janeiro: IMPA, 2017. v. 1. 110p. (Link - free access)
Riter, V. ; Alves, R. ; Lavor, C. . Geometric Algebra and Distance Matrices. In: David W. Silva; Eckhard Hitzer; Dietmar Hildenbrand. (Org.). (to appear in) Advanced Computational Applications of Geometric Algebra, First International Conference, ICACGA 2022: In Lecture Notes in Computer Science. 1ed.Colorado Springs: Springer Cham, 2023, v. 13771, p. 1-11.
Hrdina, J. ; Hildenbrand, D. ; Alves, R.; Návrat, A. ; Steinmetz, C.; Lavor, C. ; Vasik, P. ; Eryganov, I. . Quantum Register Algebra: the basic concepts. In: David W. Silva; Eckhard Hitzer; Dietmar Hildenbrand. (Org.). (to appear in) Advanced Computational Applications of Geometric Algebra, First International Conference, ICACGA 2022: In Lecture Notes in Computer Science. 1ed.Colorado Springs: Springer Cham, 2023, v. 13771, p. 12-23.
Lavor C., Alves R. Recent Advances on Oriented Conformal Geometric Algebra Applied to Molecular Distance Geometry. In: Xambó-Descamps S. (eds) Systems, Patterns and Data Engineering with Geometric Calculi. SEMA SIMAI Springer Series, vol 13. Springer, Cham., 2021. (Link)
Hildenbrand, D. ; Steinmetz, C. A; Alves, R. ; Hrdina, J. ; Lavor, C. . An Online Calculator for Qubits Based on Geometric Algebra. Lecture Notes in Computer Science. 1ed.: Springer International Publishing, 2020, v. 12221, p. 526-537. (Link)
Alves, R.; de Souza, C. . Conformal Geometric Algebra in molecular geometry with uncertainties. In: The 7th Conference on Applied Geometric Algebras in Computer Science and Engineering, 2018, Campinas. Early Proceedings of The 7th Conference on Applied Geometric Algebras in Computer Science and Engineering, 2018. (Link)
Souza, M. ; Lavor, C. ; Alves, R. . Modeling the Molecular Distance Geometry Problem Using Dihedral Angles. In: International Symposium on Bioinformatics Research and Applications, 2017, Honolulu. Proceedings of the ISBRA 2017. Berlin: Lecture Notes in Bioinformatics, 2017. v. 10330. p. 270-278. (Link)
Alves, R; de Souza, C.; Lavor, C. . Advances on the Geometric Algebra approach to the Discretizable Molecular Distance Geometry Problem (DMDGP). In: the 33rd Computer Graphics International, 2016, Heraklion. Proceedings of the 33rd Computer Graphics International on - CGI '16. New York: ACM Press, 2016. p. 85. (Link)
Alves, R.; Cassioli, A. ; Mucherino, A. ; Lavor, C. ; Liberti, L. . Adaptive Branching in iBP with Clifford Algebra. In: Workshop on Distance Geometry and Applications, 2013, Manaus. Proceedings of the Workshop on Distance Geometry and Applications, 2013. p. 65-69.