Публикации

[0] Brezov D., The Tragic Downfall and Peculiar Revival of Quaternions, Mathematics 13(4):637 (2025), https://doi.org/10.3390/math13040637.

[1] Brezov D., Using Rotations to Control Observable Relativistic Effects, Mathematics 12(11):1676 (2024), https://doi.org/10.3390/math12111676.

[2] Velizarova M., Dimitrova R., Hristov P., Burov A., Brezov D., Hristova E. and Gueorguiev O., Evaluation of the emission factors for PM and NO2 from the road transport in Sofia, Bulgaria, Atmosphere 15(7):773 (2024), https://doi.org/10.3390/atmos15070773.

[3] Brezov, D. and Werman M., Camera Motion Correction with PGA, In: Sheng, B., Bi, L., Kim, J., Magnenat-Thalmann, N., Thalmann, D. (eds) Advances in Computer Graphics. CGI 2023, Lecture Notes in Computer Science 14498, Springer, Cham. (2024) pp 355367, https://doi.org/10.1007/978-3-031-50078-7_28.

[4]  Буров А., Брезов Д., Моделиране на замърсяването на въздуха от транпорта по софийските булеварди, Годишник на Университета по архитектура, строителство и геодезия 57:1 (2024) 243-259, https://uacg.bg/UserFiles/File/UACEG_Annual/2024/%D0%91%D1%80%D0%BE%D0%B9%201/18(1).pdf.

[5] Brezov D., The Order of Finite Generation of SO(3) and Optimization of Rotation Sequences, Rocky Mountain J. Math. (2023) (в процес на печат) https://projecteuclid.org/journals/rmjm/rocky-mountain-journal-of-mathematics/acceptedpapers.

[6] Brezov D., Kancheva Y. and Nikova T., Non-Euclidean Descriptive Geometry in Engineering and Applied Visual Arts, Journal for Geometry and Graphics, 27:2 (2023) 227-236, https://www.heldermann-verlag.de/jgg/jgg27/j27h2brez.pdf.

[7] Brezov D., Hristov H., Dimov D., and Alexiev K., Predicting the Rectal Temperature of Dairy Cows Using Infrared Thermography and Multimodal Machine Learning, Applied Sciences 13(20):11416 (2023), https://doi.org/10.3390/app132011416.

[8] Brezov D., Projective View on Motion Groups II: A Quest for Rational Geometries, In: Garcia H. et al (Eds.) Series On Knots And Everything 75, August 2023, pp 493-512, https://doi.org/10.1142/9789811271151_0023.

[9] Brezov D. and Burov A., Ensemble Learning Traffic Model for Sofia: A Case Study, Applied Sciences 13(8):4678 (2023) https://doi.org/10.3390/app13084678.

[10] Burov, A., Brezov, D. Transport Emissions from Sofia's Streets -Inventory, Scenarios, and Exposure Setting. In: Lecture Notes in Networks and Systems, vol 638. pp 223233 Springer, Cham. (2023), https://doi.org/10.1007/978-3-031-26754-3_20.

[11] Dzhambov A., Dimitrova V., Germanova N., Burov A., Brezov D., Hlebarov I. and Dimitrova R., Joint associations and pathways from greenspace, trac-related air pollution, and noise to poor self-rated general health: A population-based study in Sofia, Bulgaria, Environmental Research 116087 (2023), https://doi.org//10.1016/j.envres.2023.116087.

[12] Brezov D., On Complex Kinematics and Relativity, Adv. Appl. Clifford Algebras 32, 3 (2022), https://doi.org/10.1007/s00006-022-01220-4.

[13] Brezov D., Hypercomplex Algebras and Calculi Derived from Generalized Kinematics, Mathematical Methods in the Applied Sciences 44, 17 (2021),  https://doi.org/10.1002/mma.7644.

[14] Brezov D., Factorization and Generalized Roots of Dual Complex Matrices with Rodrigues' Formula, Advances in Applied Clifford Algebras 30, 29 (2020), https://doi.org/10.1007/s00006-020-01055-x.

[15] Brezov D., Projective View on Motion Groups I: Kinematics and Relativity, Advances in Applied Cliord Algebras 29 (2019) 1-18, https://doi.org/10.1007/s00006-019-0962-3.

[16] Brezov D., Projective Bivector Parametrization of Isometries in Low Dimensions, Geom. Integrability & Quantization (2018) 91-104, https://doi.org/10.7546/giq-19-2018-91-104.

[17] Brezov D., Optimization and Gimbal Lock Control via Shifted Decomposition of Rotations, Journal of Applied & Computational Mathematics (2018) 7:410. https://doi.org/10.4172/2168-9679.1000410

[18] Brezov D., Mladenova C. and Mladenov I., From the Kinematics of Precession Motion to Generalized Rabi Cycles, Adv. Math. Phys. 2018, Article ID 9256320, https://doi.org/10.1155/2018/9256320.

[19] Mladenova C., Brezov D. and Mladenov I., Alternative Description of Rigid Body Kinematics and Quantum Mechanical Angular Momenta, Geom. Integrability & Quantization (2018) 148-158, https://doi.org/10.7546/giq-19-2018-148-158.

[20] Brezov D., Higher-Dimensional Representations of SL2 and its Real Forms via Plucker Embedding, Advances in Applied Clifford Algebras 27 (2017) 2375-2392,  https://doi.org/10.1007/s00006-017-0765-3.

[21] Brezov D., Mladenova C. and Mladenov I., Factorizations in Special Relativity and Quantum Scattering on the Line, In: Advanced Computing in Industrial Mathematics 681, Springer, Berlin 2017, pp 1-14, https://doi.org/10.1007/978-3-319-49544-6_1.

[22] Brezov D., Mladenova C. and Mladenov I., Generalized Euler Angles Viewed as Spherical Coordinates, Geom. Integrability & Quantization (2017) 105-116, https://doi.org/10.7546/giq-18-2017-105-116.

[23] Brezov D., Mladenova C. and Mladenov I., Factorizations in Special Relativity and Quantum Scattering on the Line II, AIP Conf. Proc. 1789 (2016) 020009-1 - 020009-10, https://doi.org/10.1063/1.4968430.

[24] Brezov D., Mladenova C. and Mladenov I., On the Necessary and Sufficient Condition for the Decomposition of Orthogonal Transformations, AIP Conf. Proc. 1960 (2015) 050003-1050003-6, https://doi.org/10.1063/1.4936733.

[25] Brezov D., Mladenova C. and Mladenov I., Variations of (Pseudo) Rotations and the Laplace-Beltrami Operator on Homogeneous Spaces, AIP Conf. Proc. 1684 (2015) 080002-1080002-13, https://doi.org/10.1063/1.4934313.

[26] Brezov D., Mladenova C. and Mladenov I., Wigner Rotation and Thomas Precession: Geometric Phases and Related Physical Theories, Journal of the Korean Physical Society 66 (2015) 1656-1663, https://doi.org/10.3938/jkps.66.1656.

[27] Mladenova C., Brezov D. and Mladenov I., New Forms of the Equations of the Attitude Kinematics, Proceedings in Applied Mathematics and Mechanics 14 (2014) 87-88, https://doi.org/10.1002/pamm.201410031.

[28] D. Brezov, C. Mladenova and I. Mladenov, On the Decomposition of the Infinitesimal (Pseudo-)Rotations, Comptes rendus de l'Academie bulgare des Sciences 67, 1337-1344 (2014), https://www.researchgate.net/publication/269995120_On_the_Decomposition_of_the_Infinitesimal_Pseudo-_Rotations.

[29] Brezov D., Mladenova C. and Mladenov I., Generalized Euler Decompositions of Some Six-Dimensional Lie Groups, AIP Conf. Proc. 1631 (2014) 282-291, https://doi.org/10.1063/1.4902488.

[30] Mladenova C., Brezov D. and Mladenov I., Covariant Vector Decomposition of the Three-Dimensional Rotations, In: Zhang X. et al (Eds) Intelligent Robotics and Applications. ICIRA 2014. Lecture Notes in Computer Science, vol 8918, pp. 504511, Springer Switzerland 2014, https://doi.org/10.1007/978-3-319-13963-0.

[31] Brezov D., Mladenova C. and Mladenov I., Two-Axes Decompositions of (Pseudo-) Rotations and Some of Their Applications, AIP Conf. Proc. 1629 (2014) 226-234, https://doi.org/10.1063/1.4902277.

[32] Brezov D., Mladenova C. and Mladenov I., A Decoupled Solution to the Generalized Euler Decomposition Problem in R3 and R2,1, Journal of Geometry and Symmetry in Physics 33 (2014) 47-78, https://doi.org/10.7546/jgsp-33-2014-47-78.

[33] Brezov D., Mladenova C. and Mladenov I., Euler Decomposition in Non-Orthogonal Bases, In: Proceedings of the International Conference on Integrability, Recursion Operators and Soliton Interactions, Soffia 2014, pp 63-73, https://doi.org/10.13140/RG.2.1.1681.7680.

[34] Brezov D., Mladenova C. and Mladenov I., The Geometry of Pythagorean Quadruples and Rational Decomposition of PseudoRotations, In: Mathematics in Industry, Cambridge Scholars Publishing, Newcastle upon Tyne 2014, pp 176-197, https://doi.org/10.13140/RG.2.1.4784.4884.

[35] Brezov D., Mladenova C. and Mladenov I., New Perspective on the Gimbal Lock Problem, AIP Conf. Proc. 1570 (2013) 367-374, https://doi.org/10.1063/1.4854778.

[36] Brezov D., Mladenova C. and Mladenov I., Some New Results on Three-Dimensional Rotations and Pseudo-Rotations, AIP Conf. Proc. 1561 (2013) 275-288, https://doi.org/10.1063/1.4827238.

[37] Brezov D., Mladenova C. and Mladenov I., Quarter Turns and New Factorizations of Rotations, Comptes rendus de l'Academie bulgare des Sciences 66 (2013) 1069-1078, https://www.researchgate.net/publication/258046642_Quarter_Turns_and_New_Factorizations_of_Rotations.

[38] Brezov D., Mladenova C. and Mladenov I., Vector Decomposition of Half Turns, In: Proceedings of Forty Second Spring Conference of the Union of Bulgarian Mathematicians, Soa 2013, pp 198-204, https://doi.org/10.13140/RG.2.1.3576.0402.

[39] Brezov D., Mladenova C. and Mladenov I., Vector-parameters in Classical Hyperbolic Geometry, Journal of Geometry and Symmetry in Physics 30 (2013) 21-50, https://doi.org/10.13140/RG.2.1.3576.0402.

[40] Brezov D., Mladenova C. and Mladenov I., Vector Decompositions of Rotations, Journal of Geometry and Symmetry in Physics 28 (2012) 67-103, https://doi.org/10.7546/jgsp-28-2012-67-103.

[41] Brezov D., Mladenova C. and Mladenov I., On the Factorization of Rotations, In: Proceedings of Seventh Annual Meeting of the Bulgarian Section of SIAM, Sofia 2012, pp 39-48, https://doi.org/10.13140/RG.2.1.2003.1768.

[42] Brezov D., Spectral Geometry and the Semi-Classical Approach, 2008 (pre-print) http://arxiv.org/abs/0805.2495v1.

СТУДИИ:

1. Velizarova M., Dimitrova R., Hristov P., Burov A., Brezov D., Hristova E. and Gueorguiev O., Evaluation of the emission factors for PM and NO2 from the road transport in Sofia, Bulgaria, Atmosphere 15(7):773 (2024), https://doi.org/10.3390/atmos15070773.

2. Brezov D., Projective View on Motion Groups II: A Quest for Rational Geometries, In: Garcia H. et al (Eds.) Series On Knots And Everything 75, August 2023, pp 493-512, https://doi.org/10.1142/9789811271151_0023.

3. Brezov D., Hypercomplex Algebras and Calculi Derived from Generalized Kinematics, Mathematical Methods in the Applied Sciences 44, 17 (2021),  https://doi.org/10.1002/mma.7644.

4. Brezov D., Factorization and Generalized Roots of Dual Complex Matrices with Rodrigues' Formula, Advances in Applied Clifford Algebras 30, 29 (2020), doi:  https://doi.org/10.1007/s00006-020-01055-x.

5. Brezov D., Mladenova C. and Mladenov I., A Decoupled Solution to the Generalized Euler Decomposition Problem in R3 and R2,1, Journal of Geometry and Symmetry in Physics 33 (2014) 47-78, https://doi.org/10.7546/jgsp-33-2014-47-78.

6. Brezov D., Mladenova C. and Mladenov I., The Geometry of Pythagorean Quadruples and Rational Decomposition of PseudoRotations, In: Mathematics in Industry, Cambridge Scholars Publishing, Newcastle upon Tyne 2014, pp 176-197, https://doi.org/10.13140/RG.2.1.4784.4884.

7. Brezov D., Mladenova C. and Mladenov I., Vector-parameters in Classical Hyperbolic Geometry, Journal of Geometry and Symmetry in Physics 30 (2013) 21-50, https://doi.org/10.13140/RG.2.1.3576.0402.

8. Brezov D., Mladenova C. and Mladenov I., Vector Decompositions of Rotations, Journal of Geometry and Symmetry in Physics 28 (2012) 67-103, https://doi.org/10.7546/jgsp-28-2012-67-103.

УЧЕБНИЦИ:

[1]  Brezov D., Introduction to Linear Algebra and Analytic Geometry, UACEG 2017, ISBN: 978-954-724-112-1. https://old.uacg.bg/filebank/att_13321.pdf

[2]  Brezov D., Applied Mathematics, UACEG 2018, ISBN: 978-954-724-111-4. https://old.uacg.bg/filebank/att_11782.pdf

[3]  Брезов Д., Математически анализ (втора част), УАСГ 2023, ISBN: 978-954-724-165-7. https://old.uacg.bg/filebank/att_24328.pdf

[4]  Брезов Д., Вероятности, статистика и анализ на данни с Python, УАСГ 2024, ISBN: 978-954-724-174-9. https://old.uacg.bg/filebank/att_26813.pdf