Página de Investigación de Aureliano M. Robles Pérez (Research)

Publicaciones - Revistas (Publications - Journals)

1. A.M. Robles-Pérez and J.C. Rosales. Numerical semigroups with monotone Apéry set and fixed multiplicity and ratio. Bull. Braz. Math. Soc. (N.S.) 55(2) (2024), Article No. 13 (20 pages).
   Doi: 10.1007/s00574-024-00387-7 (open access) // arXiv: 2310.09287 [math.GR] // Digibug: hdl.handle.net/10481/90041
2. A.M. Robles-Pérez and J.C. Rosales. On sets related to integer partitions with quasi-required elements and disallowed elements. Aequationes Math. 98(2) (2024), 423–440.
   Doi: 10.1007/s00010-023-01005-5 (open access) // arXiv: 2203.10376v2 [math.NT] // Digibug: hdl.handle.net/10481/85366
3. A.M. Robles-Pérez and J.C. Rosales. The extended Frobenius problem for Fibonacci sequences incremented by a Fibonacci number. Mediterr. J. Math. 20 (2023), Article No. 222 (12 pages).
   Doi: 10.1007/s00009-023-02428-9 (open access) // arXiv: 2210.00816v2 [math.NT] // Digibug: hdl.handle.net/10481/81834
4. A.M. Robles-Pérez and J.C. Rosales. A Frobenius problem suggested by prime k-tuplets. Discrete Math. 346(7) (2023), Article No. 113394 (10 pages).
   Doi: 10.1016/j.disc.2023.113394 (open access) // arXiv: 2112.05501v3 [math.NT] (extended version) // Digibug: hdl.handle.net/10481/80403
5. A.M. Robles-Pérez and J.C. Rosales. Modular Frobenius pseudo-varieties. Collect. Math. 74 (2023), 133–147.
   Doi: 10.1007/s13348-021-00339-0 (open access) // arXiv: 2101.10724 [math.GR] // Digibug: hdl.handle.net/10481/71539
6. A.M. Robles-Pérez and J.C. Rosales. On the enumeration of the set of numerical semigroups with fixed Frobenius number and fixed number of second kind gaps. Results Math. 77 (2022), Article No. 10 (18 pages).
   Doi: 10.1007/s00025-021-01542-y (open access) // arXiv: 1804.06654 [math.GR] // Digibug: hdl.handle.net/10481/71813
7. A.M. Robles-Pérez and J.C. Rosales. The enumeration of the set of atomic numerical semigroups with fixed Frobenius number. J. Algebra Appl. 19(8) (2020), Article No. 2050144 (10 pages)
   Doi: 10.1142/S0219498820501443 // arXiv: 1710.06208 [math.GR]
8. A.M. Robles-Pérez and J.C. Rosales. Numerical semigroups in a problem about economic incentives for consumers. Filomat 32(10) (2018), 3667–3680.
   Doi: 10.2298/FIL1810667R // Available online (FREE): www.pmf.ni.ac.rs/filomat-content/2018/32-10/32-10-25-6763.pdf // arXiv: 1605.03900 [math.GR]
9. A.M. Robles-Pérez and J.C. Rosales. Frobenius restricted varieties in numerical semigroups. Semigroup Forum 97 (2018), 478–492.
   Doi: 10.1007/s00233-018-9949-y // Springer Nature SharedIt: https://rdcu.be/Yejc (full-text view-only) // arXiv: 1605.03778 [math.GR]
10. A.M. Robles-Pérez and J.C. Rosales. On a transport problem and monoids of non-negative integers. Aequationes Math. 92(4) (2018), 661–670.
    Doi: 10.1007/s00010-018-0572-5 // Springer Nature SharedIt: https://rdcu.be/6nFz (full-text view-only) // arXiv: 1611.02627 [math.GR]
11. A.M. Robles-Pérez and J.C. Rosales. A combinatorial problem and numerical semigroups. Ars Math. Contemp. 15(2) (2018), 323–336.
    Doi: 10.26493/1855-3974.989.d15 // Open Journal Systems: amc-journal.eu/index.php/amc/article/view/989 // arXiv: 1605.03907 [math.CO]
12. A.M. Robles-Pérez and J.C. Rosales. The Frobenius number for sequences of triangular and tetrahedral numbers. J. Number Theory 186 (2018), 473–492.
    Doi: 10.1016/j.jnt.2017.10.014 (open archive) // arXiv: 1706.04378 [math.NT]
13. A.M. Robles-Pérez and J.C. Rosales. The Frobenius number in the set of numerical semigroups with fixed multiplicity and genus. Int. J. Number Theory 13(4) (2017), 1003–1011.
    Doi: 10.1142/S1793042117500531 // Digibug: hdl.handle.net/10481/49814
14. A.M. Robles-Pérez and J.C. Rosales. Numerical semigroups in a problem about cost-effective transport. Forum Math. 29(2) (2017), 329–345.
    Doi: 10.1515/forum-2015-0123 // Digibug: hdl.handle.net/10481/49801
15. A.M. Robles-Pérez and J.C. Rosales. The genus, Frobenius number, and pseudo-Frobenius numbers of numerical semigroups of type 2. Proc. Roy. Soc. Edinburgh Sect. A 146(5) (2016), 1081–1090.
    Doi: 10.1017/S0308210515000840 // Digibug: hdl.handle.net/10481/49818
16. M. Delgado, P.A. García-Sánchez, and A.M. Robles-Pérez. Numerical semigroups with a given set of pseudo-Frobenius numbers. LMS J. Comput. Math. 19(1) (2016), 186–205.
    Doi: 10.1112/S1461157016000061 (free access) // arXiv: 1505.08111 [math.AC]
17. A.M. Robles-Pérez and J.C. Rosales. The Frobenius problem for some numerical semigroups with embedding dimension equal to three. Hacet. J. Math. Stat. 44(4) (2015), 901–908.
    Link: HJMS (open access) // Doi: 10.15672/HJMS.2015449432
18. A.M. Robles-Pérez and J.C. Rosales. Frobenius pseudo-varieties in numerical semigroups. Ann. Mat. Pura Appl. 194 (2015), 275–287.
    Doi: 10.1007/s10231-013-0375-1 (open archive) // Springer Nature SharedIt: https://rdcu.be/6n9F (full-text view-only) // Digibug: hdl.handle.net/10481/49813
19. A.M. Robles-Pérez and J.C. Rosales. The numerical semigroup of the integers which are bounded by a submonoid of $\,{\mathbb N}^2$. Electron. Notes Discrete Math. 46C (2014), 249–256.
    Doi: 10.1016/j.endm.2014.08.033
20. A.M. Robles-Pérez and J.C. Rosales. Proportionally modular numerical semigroups with embedding dimension three. Publ. Math. Debrecen 84/3-4 (2014), 319–332.
    Doi: 10.5486/PMD.2014.5357 (open archive)
21. A.M. Robles-Pérez and J.C. Rosales. Modular retractions of numerical semigroups. Semigroup Forum 87 (2013), 553–568.
    Doi: 10.1007/s00233-013-9481-z // Springer Nature SharedIt: https://rdcu.be/6nGt (full-text view-only)
22. A.M. Robles-Pérez and J.C. Rosales. The numerical semigroup of phrases' lengths in a simple alphabet. The Scientific World Journal 2013 (2013), Article ID 459024 (9 pages).
    Doi: 10.1155/2013/459024 (open access: CC BY 3.0) // Digibug: hdl.handle.net/10481/32051
23. A.M. Robles-Pérez and J.C. Rosales. Modular translations of numerical semigroups. Semigroup Forum 86 (2013), 183–191.
    Doi: 10.1007/s00233-012-9372-8 // Springer Nature SharedIt: https://rdcu.be/6nGJ (full-text view-only)
24. A.M. Robles-Pérez and J.C. Rosales. The Frobenius problem for numerical semigroups with embedding dimension equal to three. Math. Comput. 81 (2012), 1609–1617.
    Doi: 10.1090/S0025-5718-2011-02561-5 (free access)
25. A.M. Robles-Pérez and J.C. Rosales. Modular numerical semigroups with embedding dimension equal to three. Illinois J. Math. 55 (2011), 77–88.
    Link: projecteuclid.org/euclid.ijm/1355927028 (open access)
26. M. Arias, J. Campos, A.M. Robles-Pérez, L. Sanchez. Erratum to: Fast and heteroclinic solutions for a second order ODE related to Fisher-Kolmogorov's equation. Calc. Var. Partial Differential Equations 40 (2011), 291–292.
    Doi: 10.1007/s00526-010-0368-5 (open archive) // Springer Nature SharedIt: https://rdcu.be/6n83 or https://rdcu.be/6nHh (full-text view-only)
27. A.M. Robles-Pérez, J.C. Rosales, and P. Vasco. The doubles of a numerical semigroup. J. Pure Appl. Algebra 213 (2009), 387–396.
    Doi: 10.1016/j.jpaa.2008.08.005 (open archive)
28. A.M. Robles-Pérez and J.C. Rosales. Equivalent proportionally modular Diophantine inequalities. Arch. Math. (Basel) 90 (2008), 24–30.
    Doi: 10.1007/s00013-007-2379-9 // Springer Nature SharedIt: https://rdcu.be/6nHD (full-text view-only)
29. J. Mawhin, R. Ortega, and A.M. Robles-Pérez. Maximum principles for bounded solutions of the telegraph equation in space dimensions two and three and applications. J. Differential Equations 208 (2005), 42–63.
    Doi: 10.1016/j.jde.2003.11.003 (open archive)
30. M. Arias, J. Campos, A.M. Robles-Pérez, L. Sanchez. Fast and heteroclinic solutions for a second order ODE related to Fisher-Kolmogorov's equation. Calc. Var. Partial Differential Equations 21 (2004), 319–334.
    Doi: 10.1007/s00526-004-0264-y // Springer Nature SharedIt: https://rdcu.be/6nHZ (full-text view-only)
31. J. Mawhin, R. Ortega, and A.M. Robles-Pérez. A maximun principle for bounded solutions of the telegraph equation in space dimension three. C. R. Acad. Sci. Paris, Ser. I 334 (2002), 1089–1094.
    Doi: 10.1016/S1631-073X(02)02406-8 (open archive)
32. R. Ortega and A.M. Robles-Pérez. A duality theorem for periodic solutions of a class of second order evolutions equations. J. Differential Equations 172 (2001), 409–444.
    Doi: 10.1006/jdeq.2000.3860 (open archive)
33. J. Mawhin, R. Ortega, and A.M. Robles-Pérez. A maximun principle for bounded solutions of the telegraph equations and applications to nonlinear forcings. J. Math. Anal. Appl. 251 (2000), 695–709.
    Doi: 10.1006/jmaa.2000.7038 (open archive)
34. J.F. Gómez-Lopera, J. Martínez-Aroza, A.M. Robles-Pérez, R. Román-Roldán. An analysis of edge detection by using the Jensen-Shannon divergence. J. Math. Imaging Vision 13 (2000), 35–56.
    Doi: 10.1023/A:1008325607354 // Springer Nature SharedIt: https://rdcu.be/6nH7 (full-text view-only)
35. R. Ortega and A.M. Robles-Pérez. A maximum principle for periodic solutions of the telegraph equation. J. Math. Anal. Appl. 221 (1998), 625–651.
    Doi: 10.1006/jmaa.1998.5921 (open archive)
36. L. García-Cabrera, P.L. Luque-Escamilla, J. Martínez-Aroza, A.M. Robles-Pérez, R. Román-Roldán. Two pixel-preselection methods for median-type filtering. IEE Proc.-Vis. Image Signal Process. 145 (1998), 30–40.
    Doi: 10.1049/ip-vis:19981556