???global.info.a_carregar???
Identification

Personal identification

Full name
Jorge Sebastião de Lemos Carvalhão Buescu

Citation names

  • Buescu, Jorge

Author identifiers

Ciência ID
631B-B789-52D5
ORCID iD
0000-0001-5444-5089
Education
Degree Classification
1995
Concluded
 Matemática (Doutoramento)
Major in Sem especialidade
University of Warwick, United Kingdom
"Exotic Attractors: from Liapunov Stability to Riddled Basins" (THESIS/DISSERTATION)
Affiliation

Teaching in Higher Education

Category
Host institution 		Employer
2016 - 2026/03/26 Associate Professor (University Teacher) Universidade de Lisboa, Portugal
2016 - 2019 Associate Professor (University Teacher) Universidade de Lisboa, Portugal
2013 - 2016 Associate Professor (University Teacher) Universidade de Lisboa Faculdade de Ciências, Portugal
2013 - 2016 Associate Professor (University Teacher) Universidade de Lisboa Faculdade de Ciências, Portugal
Outputs

Publications

Book
  1. Jorge Buescu. Análise Complexa : sebenta. 2024.
    10.56526/2024.0001
  2. Buescu, J.; Francisco Rodrigues, J.. The importance of useful mathematics: On tools for its popularization, from industry to art. 2012.
    10.1007/978-3-642-25710-0
Book chapter
  1. Miguel Casquilho; Pedro Pacheco; Rui Galhano; Jorge Buescu. "A Linear Programming Problem in Python and CPLEX, led by Monte Carlo on the Web". In A Statistical Exploration. 2025.
    10.1007/978-3-031-88042-1_19
  2. Buescu, J.. "Engineering, Mathematics Communication, and Education: Reflections on a Personal Experience". 333-340. 2013.
    10.1007/978-3-319-02270-3_33
  3. Bravo, Jorge; Magalhães, Maria Graça; Coelho, Edviges. "Dinâmica e Estrutura da População Humana: Medidas e Modelos Matemáticos". IST Press, 2013.
  4. Oliveira, Manuela; Natário, Isabel; Susete, Marques; Borges, José; .Botequim, Birgite; Gonzalo, Jordi; Margarida, Tomé; José, Tomé; Clarige, Demétrio. "Matemática do Planeta Terra. Aplicações Estatísticas em Análise de Catástrofes Naturais. O caso da Ocorrência e impacto dos incêndios sobre a Floresta em Portugal. Matemática e o Planeta Terra". IST Press, 2013.
  5. Buescu, Jorge; Graça, Daniel; Zhong, Ning. "Computability and dynamical systems". M. Peixoto, A. Pinto, and D. Rand, 2011.
  6. Buescu, Jorge; Graça, Daniel; Zhong, Ning. "Computability and dynamical systems". M. Peixoto, A. Pinto, and D. Rand, 2011.
  7. Graça, Daniel; Campagnolo, Manuel; Buescu, Jorge. "Robust simulations of Turing machines with analytic maps and flows". B. Cooper, B. Löwe, and L. Torenvliet, 2005.
  8. Graça, Daniel; Campagnolo, Manuel; Buescu, Jorge. "Robust simulations of Turing machines with analytic maps and flows". B. Cooper, B. Löwe, and L. Torenvliet, 2005.
Conference paper
  1. Serpa, C.; Buescu, J.. "Piecewise expanding maps and conjugacy equations". 2015.
    10.1007/978-3-319-12328-8_11
  2. Serpa, C.; Buescu, J.. "A dynamical approach to congruences: Linking circle maps and aperiodic necklaces". 2014.
    10.1007/978-1-4614-9161-3__15
  3. Buescu, J.; Graça, D.S.; Zhong, N.. "Computability and dynamical systems". 2011.
    10.1007/978-3-642-11456-4-11
  4. Graça, Daniel; Buescu, Jorge; Campagnolo, Manuel. "Boundedness of the domain of definition is undecidable for polynomial odes". 2008.
  5. Graça, Daniel; Buescu, Jorge; Campagnolo, Manuel. "Boundedness of the domain of definition is undecidable for polynomial odes". 2008.
  6. Graça, Daniel; Zhong, Ning; Buescu, Jorge. "The ordinary differential equation defined by a computable function whose maximal interval of existence is non-computable". 2006.
  7. Graça, Daniel; Zhong, Ning; Buescu, Jorge. "The ordinary differential equation defined by a computable function whose maximal interval of existence is non-computable". 2006.
  8. Graça, D.S.; Campagnolo, M.L.; Buescu, J.. "Robust simulations of Turing machines with analytic maps and flows". 2005.
  9. Garcia, F.M.; Lourtie, I.M.G.; Buescu, J.. "Local stationarity of L2(R) processes". 2002.
Journal article
  1. Alamgir Hossain; Jorge Buescu. "Non-affine fractal hypersurfaces: construction and dimensions". Journal of Fractal Geometry, Mathematics of Fractals and Related Topics (2025): https://doi.org/10.4171/jfg/166.
    10.4171/jfg/166
  2. Jorge Buescu; Emma D’Aniello; Henrique M. Oliveira. "Huygens synchronization of three aligned clocks". Nonlinear Dynamics (2025): https://doi.org/10.1007/s11071-024-10524-y.
    10.1007/s11071-024-10524-y
  3. Casquilho, M.; Galhano, R.; Buescu, J.. "Effect of Random Variation of the Initial Values of Ordinary Differential Equations and its Web-based Application to Chemical Kinetics". Romanian Journal of Information Science and Technology 28 3 (2025): 286-298. http://www.scopus.com/inward/record.url?eid=2-s2.0-105014743469&partnerID=MN8TOARS.
    10.59277/ROMJIST.2025.3.04
  4. Jorge Buescu; Henrique M. Oliveira; Mónica Sousa. "Growth rate, evolutionary entropy and ageing across the tree of life". Journal of Biological Dynamics (2023): http://dx.doi.org/10.1080/17513758.2023.2256766.
    10.1080/17513758.2023.2256766
  5. Miguel Casquilho; Jorge Buescu. "Standard deviation estimation from sums of unequal size samples". Monte Carlo Methods and Applications 0 0 (2022): https://doi.org/10.1515/mcma-2022-2118.
    10.1515/mcma-2022-2118
  6. J. Buescu; A. C. Paixão; Buescu, J.; Paixão, A.C.; Buescu, Jorge; Paixão, António. "Positive-definiteness and integral representations for special functions". Positivity 25 2 (2021): 731-750. https://doi.org/10.1007/s11117-020-00784-4.
    10.1007/s11117-020-00784-4
  7. Buescu, Jorge; Serpa, Cristina; Jorge Buescu; Cristina Serpa. "Compatibility conditions for systems of iterative functional equations with non-trivial contact sets". Results in Mathematics 76 2 (2021): http://hdl.handle.net/10400.21/13217.
    10.1007/s00025-021-01365-x
  8. J. Buescu; A. C. Paixão; Buescu, Jorge; Paixão, António. "The measure transition problem for meromorphic polar functions". Analysis and Mathematical Physics 10 4 (2020): https://doi.org/10.1007/s13324-020-00408-w.
    10.1007/s13324-020-00408-w
  9. Jorge Buescu; Cristina Serpa; Buescu, Jorge; Serpa, Cristina. "Fractal and Hausdorff dimensions for systems of iterative functional equations". Journal of Mathematical Analysis and Applications (2019): 123429-123429. https://doi.org/10.1016/j.jmaa.2019.123429.
    10.1016/j.jmaa.2019.123429
  10. C. P. Oliveira; Jorge Buescu. "Universal kernels which are continuous on the diagonal". Positivity 23 3 (2019): 637-650. https://doi.org/10.1007/s11117-018-0629-7.
    10.1007/s11117-018-0629-7
  11. Buescu, J.; Paixão, A.; Oliveira, C.; Buescu, Jorge; Paixão, António; Oliveira, Claudemir; Paixao, A.C.; Oliveira, C.P.. "Propagation of Regularity and Positive Definiteness: a Constructive Approach". Zeitschrift fur Analysis und ihre Anwendung 37 1 (2018): 1-24. http://www.scopus.com/inward/record.url?eid=2-s2.0-85041568548&partnerID=MN8TOARS.
    10.4171/ZAA/1599
  12. Serpa, C.; Buescu, J.. "Constructive Solutions for Systems of Iterative Functional Equations". Constructive Approximation 45 2 (2017): 273-299. http://www.scopus.com/inward/record.url?eid=2-s2.0-84978120417&partnerID=MN8TOARS.
    10.1007/s00365-016-9349-z
  13. Oliveira, C.P.; Buescu, J.. "Mixed integral identities involving unit spheres and balls in complex context". International Journal of Mathematics 26 14 (2015): http://www.scopus.com/inward/record.url?eid=2-s2.0-84952720138&partnerID=MN8TOARS.
    10.1142/S0129167X15501153
  14. Serpa, C.; Buescu, J.. "Non-uniqueness and exotic solutions of conjugacy equations". Journal of Difference Equations and Applications (2015): http://www.scopus.com/inward/record.url?eid=2-s2.0-84938675367&partnerID=MN8TOARS.
    10.1080/10236198.2015.1062002
  15. Serpa, C.; Buescu, J.. "Explicitly defined fractal interpolation functions with variable parameters". Chaos, Solitons and Fractals 75 (2015): 76-83. http://www.scopus.com/inward/record.url?eid=2-s2.0-84924090271&partnerID=MN8TOARS.
    10.1016/j.chaos.2015.01.023
  16. Costa, Fernando Pestana da; Buescu, Jorge; Teixeira, Anabela; Loura, Luís Canto de. "José Sebastião e Silva (1914-1972)". (2015): http://hdl.handle.net/10400.2/3749.
  17. Behrends, Ehrhard; Buescu, Jorge. "Terá Buffon realmente lançado agulhas?". (2014): https://revistas.rcaap.pt/boletimspm/article/view/6808.
  18. Buescu, Jorge; Paixão, António; Coelho, Jose; Symeonides, A.; Buescu, J.; Paixão, A.C.. "Complex variable positive definite functions". Complex Analysis and Operator Theory 8 4 (2014): 937-954. http://hdl.handle.net/10400.21/5002.
    10.1007/s11785-013-0319-1
  19. Buescu, Jorge. "Em defesa do rigor na investigação em História da Matemática — a propósito das “Reflexões” de Luís Saraiva sobre o livro “Matemática em Portugal – uma questão de educação”". (2013): https://revistas.rcaap.pt/boletimspm/article/view/3833.
  20. Graça, D.S.; Zhong, N.; Buescu, J.. "Computability, noncomputability, and hyperbolic systems". Applied Mathematics and Computation 219 6 (2012): 3039-3054. http://www.scopus.com/inward/record.url?eid=2-s2.0-84868546242&partnerID=MN8TOARS.
    10.1016/j.amc.2012.09.031
  21. Buescu, Jorge; Fiolhais, Carlos; Marla, David; Piedade, António. "Livros de divulgação científica : selecção de 2012". (2012): http://hdl.handle.net/10316/41406.
  22. Buescu, Jorge. "Um número primo de viagens". (2012): https://revistas.rcaap.pt/boletimspm/article/view/6788.
  23. Casquilho, M.; Buescu, J.. "A minimum distance: Arithmetic and harmonic means in a geometric dispute". International Journal of Mathematical Education in Science and Technology 42 3 (2011): 399-405. http://www.scopus.com/inward/record.url?eid=2-s2.0-79952788920&partnerID=MN8TOARS.
    10.1080/0020739X.2010.526253
  24. Buescu, Jorge; Paixão, António; Buescu, J.; Paixão, A.C.. "On differentiability and analyticity of positive definite functions". Journal of Mathematical Analysis and Applications 375 1 (2011): 336-341. http://hdl.handle.net/10400.21/674.
    10.1016/j.jmaa.2010.09.033
  25. Graa, D.S.; Buescu, J.; Campagnolo, M.L.. "Computational bounds on polynomial differential equations". Applied Mathematics and Computation 215 4 (2009): 1375-1385. http://www.scopus.com/inward/record.url?eid=2-s2.0-77955309868&partnerID=MN8TOARS.
    10.1016/j.amc.2009.04.055
  26. Teixeira, P.I.C.; Buescu, J.. "Foam as a geometer". Europhysics News 40 3 (2009): 21-25. http://www.scopus.com/inward/record.url?eid=2-s2.0-67650090705&partnerID=MN8TOARS.
    10.1051/epn/2009502
  27. Graça, D.S.; Zhong, N.; Buescu, J.. "Computability, noncomputability and undecidability of maximal intervals of IVPS". Transactions of the American Mathematical Society 361 6 (2009): 2913-2927. http://www.scopus.com/inward/record.url?eid=2-s2.0-67249122962&partnerID=MN8TOARS.
    10.1090/S0002-9947-09-04929-0
  28. Graça, Daniel; Zhong, Ning; Buescu, Jorge. "Computability, noncomputability and undecidability of maximal intervals of IVPs". (2009): http://hdl.handle.net/10400.1/1018.
  29. Graça, Daniel; Buescu, Jorge; Campagnolo, Manuel. "Computational bounds on polynomial differential equations". (2009): http://hdl.handle.net/10400.1/1012.
  30. Graça, Daniel; Zhong, Ning; Buescu, Jorge. "Computability, noncomputability and undecidability of maximal intervals of IVPs". (2009): http://hdl.handle.net/10400.1/1018.
  31. Graça, Daniel; Buescu, Jorge; Campagnolo, Manuel. "Computational bounds on polynomial differential equations". (2009): http://hdl.handle.net/10400.1/1012.
  32. Graça, D.S.; Buescu, J.; Campagnolo, M.L.. "Boundedness of the Domain of Definition is Undecidable for Polynomial ODEs". Electronic Notes in Theoretical Computer Science 202 C (2008): 49-57. http://www.scopus.com/inward/record.url?eid=2-s2.0-40849100355&partnerID=MN8TOARS.
    10.1016/j.entcs.2008.03.007
  33. Graça, D.S.; Campagnolo, M.L.; Buescu, J.. "Computability with polynomial differential equations". Advances in Applied Mathematics 40 3 (2008): 330-349. http://www.scopus.com/inward/record.url?eid=2-s2.0-40749124093&partnerID=MN8TOARS.
    10.1016/j.aam.2007.02.003
  34. Graça, Daniel; Campagnolo, Manuel; Buescu, Jorge. "Computability with polynomial differential equations". (2008): http://hdl.handle.net/10400.1/1014.
  35. Graça, Daniel; Campagnolo, Manuel; Buescu, Jorge. "Computability with polynomial differential equations". (2008): http://hdl.handle.net/10400.1/1014.
  36. Buescu, J.; Paixão, A.C.. "Eigenvalue distribution of positive definite kernels on unbounded domains". Integral Equations and Operator Theory 57 1 (2007): 19-41. http://www.scopus.com/inward/record.url?eid=2-s2.0-33846961840&partnerID=MN8TOARS.
    10.1007/s00020-006-1445-1
  37. Buescu, J.; Paixão, A.C.. "Eigenvalue distribution of Mercer-like kernels". Mathematische Nachrichten 280 9-10 (2007): 984-995. http://www.scopus.com/inward/record.url?eid=2-s2.0-34547224028&partnerID=MN8TOARS.
    10.1002/mana.200510530
  38. Buescu, J.; Paix~o, A.C.. "Inequalities for differentiable reproducing kernels and an application to positive integral operators". Journal of Inequalities and Applications 2006 (2006): http://www.scopus.com/inward/record.url?eid=2-s2.0-33746625617&partnerID=MN8TOARS.
    10.1155/JIA/2006/53743
  39. Buescu, J.; Kulczycki, M.; Stewart, I.. "Liapunov stability and adding machines revisited". Dynamical Systems 21 3 (2006): 379-384. http://www.scopus.com/inward/record.url?eid=2-s2.0-33749486235&partnerID=MN8TOARS.
    10.1080/14689360600649815
  40. Buescu, J.; Paixão, A.C.. "Positive definite matrices and differentiable reproducing kernel inequalities". Journal of Mathematical Analysis and Applications 320 1 (2006): 279-292. http://www.scopus.com/inward/record.url?eid=2-s2.0-33646099606&partnerID=MN8TOARS.
    10.1016/j.jmaa.2005.06.088
  41. Buescu, J.; Paixão, A.C.. "A linear algebraic approach to holomorphic reproducing kernels in Cn". Linear Algebra and Its Applications 412 2-3 (2006): 270-290. http://www.scopus.com/inward/record.url?eid=2-s2.0-27844594367&partnerID=MN8TOARS.
    10.1016/j.laa.2005.06.031
  42. Buescu, J.; Paixão, A.C.. "Eigenvalues of positive definite integral operators on unbounded intervals". Positivity 10 4 (2006): 627-646. http://www.scopus.com/inward/record.url?eid=2-s2.0-33750037570&partnerID=MN8TOARS.
    10.1007/s11117-005-0040-z
  43. Buescu, J.. "Positive integral operators in unbounded domains". Journal of Mathematical Analysis and Applications 296 1 (2004): 244-255. http://www.scopus.com/inward/record.url?eid=2-s2.0-3242763870&partnerID=MN8TOARS.
    10.1016/j.jmaa.2004.04.007
  44. Buescu, J.; Paixao, A.C.; Garcia, F.; Lourtie, I.. "Positive-definiteness, integral equations and fourier transforms". Journal of Integral Equations and Applications 16 1 (2004): 33-52. http://www.scopus.com/inward/record.url?eid=2-s2.0-33746624894&partnerID=MN8TOARS.
    10.1216/jiea/1181075257
  45. Garcia, F.M.; Lourtie, L.M.G.; Buescu, J.. "L2(R) nonstationary processes and the sampling theorem". IEEE Signal Processing Letters 8 4 (2001): 117-119. http://www.scopus.com/inward/record.url?eid=2-s2.0-0035307390&partnerID=MN8TOARS.
    10.1109/97.911476
  46. Ashwin, P.; Buescu, J.; Stewart, I.. "From attractor to chaotic saddle: A tale of transverse instability". Nonlinearity 9 3 (1996): 703-737. http://www.scopus.com/inward/record.url?eid=2-s2.0-6144229366&partnerID=MN8TOARS.
    10.1088/0951-7715/9/3/006
  47. Buescu, J.; Stewart, I.. "Liapunov stability and adding machines". Ergodic Theory and Dynamical Systems 15 2 (1995): 271-290. http://www.scopus.com/inward/record.url?eid=2-s2.0-84974402859&partnerID=MN8TOARS.
    10.1017/S0143385700008373
  48. Ashwin, P.; Buescu, J.; Stewart, I.. "Bubbling of attractors and synchronisation of chaotic oscillators". Physics Letters A 193 2 (1994): 126-139. http://www.scopus.com/inward/record.url?eid=2-s2.0-33744891845&partnerID=MN8TOARS.
    10.1016/0375-9601(94)90947-4
Thesis / Dissertation
  1. Serpa, Maria Cristina Gonçalves Silveira de, 1974-. "Systems of iterative functional equations : theory and applications". PhD, 2015. http://hdl.handle.net/10451/22975.
  2. Symeonides, Alexandra. "Complex positive definiteness, including characteristic and moment generating functions". Master, 2013. http://hdl.handle.net/10451/9645.
  3. Serpa, Maria Cristina Gonçalves Silveira de. "De Fermat a Gauss-Gegenbauer: dinâmica de congruências, colares e palavras". Master, 2011. http://hdl.handle.net/10451/8473.

Other

Other output
  1. A LYAPUNOV FUNCTION FOR A SYNCHRONISATION DIFFEOMORPHISM OF THREE CLOCKS. 2025. Buescu, J.; D’Aniello, E.; Oliveira, H.M.. http://www.scopus.com/inward/record.url?eid=2-s2.0-86000452307&partnerID=MN8TOARS.
    10.48550/arXiv.2502.15371
  2. LYAPUNOV FUNCTIONS FOR MORSE-SMALE SYNCHRONISATION DIFFEOMORPHISMS. 2025. Buescu, J.; Oliveira, H.M.. http://www.scopus.com/inward/record.url?eid=2-s2.0-105002175651&partnerID=MN8TOARS.
    10.48550/arXiv.2503.13230
  3. Huygens Synchronization of Three Aligned Clocks. 2024. Buescu, J.; D’Aniello, E.; Oliveira, H.M.. http://www.scopus.com/inward/record.url?eid=2-s2.0-85196949141&partnerID=MN8TOARS.
    10.21203/rs.3.rs-4401847/v1
  4. A Fractal Analysis of Biodiversity: The Living Planet Index. 2023. Serpa, C.; Buescu, J.. http://www.scopus.com/inward/record.url?eid=2-s2.0-85162092226&partnerID=MN8TOARS.
    10.2139/ssrn.4474491
  5. COVID-19 infection-to-death lag and lockdown-effect lag in Italy and Spain. 2020. Buescu, J.; Oliveira, H.M.; Pires, C.A.. http://www.scopus.com/inward/record.url?eid=2-s2.0-85166900537&partnerID=MN8TOARS.
    10.21203/rs.3.rs-22130/v1
Distinctions

Award

2024 Grande Prémio Ciência Viva
Ciência Viva, Portugal
2001 Prémio Rómulo de Carvalho de Investigação e Divulgação Científica
Universidade Lusíada de Lisboa, Portugal
1995 Prémio Ferran Sunyer y Balaguer (menção honrosa)
Centre de Recerca Matemàtica, Spain

Title

2025 Sócio Efectivo da Academia das Ciências de Lisboa
Academia das Ciências de Lisboa, Portugal
2022 Sócio Correspondente da Academia das Ciências de Lisboa
Academia das Ciências de Lisboa, Portugal
2018 Membro honorário da RSME (Real Sociedad Matematica de España)
2001 Membro correspondente da Ordem dos Engenheiros
Ordem dos Engenheiros, Portugal