Oscar Perdomo

 

PUBLICATIONS:

61.   Perdomo O., Rivera, A., Arredondo, J. and Castaneda, N. Periodic oscillations in the  2N-body problem, SIAM J. Appl. Dyn. Syst. .22 (2023), no. 2,  pp 744-764.

60.  Rivera, A. Perdomo O., and Castaneda, N. Periodic oscillations in the restricted hip-hop 2N+1-body problem, Discrete Contin. Dyn. System. Ser. B.28 (2023), no. 11,  pp 5481-5493.

59. Perdomo O., Rivera, A. and Suarez, J. Bifurcation of periodic orbits for the N-body problem, from a non geometrical family of solutions, Celestial Mech. Dynam. Astronom.134 (2022), no. 1, Paper No. 8, 22 pp

58. Frederic Latour and Oscar Perdomo Four qubits generated by Clifford gates  Int. J. Quantum Inf. {\bf 20} (2022), no 3. Paper No 220002, 9 pp.

57. Leyton-Ortega, V.  Perdomo-Ortiz, A. and  Perdomo, O. Robust implementation of generative modeling with parametrized quantum circuits Journal Quantum Machine Intelligence (2021) 3:17 (10 pages)

56. Perdomo, O., Leyton-Ortega, V. and Perdomo-Ortiz. A Entanglement types for two-qubit states with real amplitudes Journal Quantum Information Processing (2021) 20:89 (12 pages)

55. Perdomo, Oscar Canonical representation of three-qubit states with real amplitudes. J. Phys. A. 54 no. 46 (2021). Paper No. 465301, 14 pp.

54. Perdomo, Oscar Spectrum of the Laplacian and the Jacobi operator on rotational CMC hypersurfaces of spheres. Pacific J. Math. 308 no. 2 (2020). p. 419-433.

53. Lopez, Rafael; Perdomo, Oscar Constant-speed ramps for a central force field.  Discrete Contin. Dyn. Syst. no 41. (2021), p. 34447-3464.

52. Perdomo, Oscar Clifford 3-qubit states. Int. J. Quantum Info. 18 no. 3 (2020). 2050004, 10 pp

51. Perdomo, Oscar The round Taylor method. Amer. Math. Monthly.126 no. 3 (2019). 237-251.

50. Perdomo, Oscar; Tkachev, Vladimir Algebraic CMC hypersurfaces of order 3 in Euclidean spaces J. Geom. 110 no. 1 (2019). p. 110.6.

49.    M. Benedetti, D. Garcia-Pintos, O. Perdomo, V. Leyton-Ortega, Y. Nam, and A. Perdomo-Ortiz A generative modeling approach for benchmarking and training shallow quantum circuit npj Quantum Information 5, 45 (2019) doi: 10.1038/s41534-019-0157-8

48. D. Zhu, N. M. Linke, M. Benedetti, K. A. Landsman, N. H. Nguyen, C. H. Alderete, A.Perdomo-Ortiz, N. Lorda, A. Grarfoot, C. Brecque, L. Egan, O. Perdomo and C. Monroe {\it Training of Quantum Circuits on a Hybrid Quantum Computer} Science Advances 5 no 10 (2019) doi:10.1126/sciadv.aaw9918

47.    Nuñez, D; Perdomo, O.; Rivera, A.; On the stability of periodic solution with defined sign in MEMS via lower and upper solutions Nonlinear Anal. Real World Appl.46 no. 3 (2019). p. 195-218.

46. Perdomo, Oscar A Bifurcation in the Family of Periodic Orbits for the Spatial Isosceles 3 Body Problem Qualitative Theory of Dynamical Systems, Vol. 1, No 2, 411-428 (2018)

 45. Lopez, Rafael; Perdomo, Oscar Minimal translational surfaces in euclidean space.  J. Geom. Anal. 27 no 4. (2017), p. 2926-2937.

44. Perdomo, Oscar On the period of the periodic orbits of the restricted three body problem.  Celestial mech. Dynam. Astronom. 129 no 1-2. (2017), p. 89-104.

43. Perdomo, Oscar; Wei, Fu-Shang On the flapping motion of a helicopter blade. Appl. Math. Model. 46 no 46. (2017), p. 299-311.

42. Palmer, Bennet; Perdomo, Oscar. Equilibrium shapes of cylindrical rotating drops.  Bull. Braz. Math. Soc. (N.S) 46 no. 3 (2015) pg. 515-561.

41. Perdomo, O., Wei, G  n-dimensional area of minimal rotational hypersurfaces in spheres.  Nonlinear Anal. 125 (2015), p. 241-251.

40. Perdomo, O., Wei, G  A characterization of quadric constant Gauss-Kronecker curvature hypersurfaces of spheres.   Asian J. Math. 19 (2015), no. 2, p. 251-264.

39. Perdomo, O. Constant speed ramps Pacific J. Math.275 (2015), no 1, p. 1-18.

38. Palmer, B., Perdomo, O. Rotating drops with helicoidal symmetry  Pacific J. Math. 273 (2015), no 2, p. 413-441.

37. Perdomo, O., Wei, G A characterization of quadric constant scalar curvature hypersurfaces of spheres.  J. Geom. Anal. 24 (2014), no 4, p. 1882-1890.

36.  Perdomo, O. Helicoidal minimal surfaces in R^3,   Illinois J. Math. Vol 57 (2013)  no. 1, 87-104.

35.  Perdomo, O. Algebraic constant mean curvature surfaces in Euclidean space  Houston J. Math. Vol 39 (2013)  no. 1, 127-136.

34. Perdomo, O., Brasil, A Stability index jump for CMC hypersurfaces of spheres,  Arch. Math. (Basel) Vol 99 (2012), no. 5, 493-500.

33. Perdomo  A dynamical interpretation of the profile curve of cmc Twizzlers surfaces, Pacific Journal of Mathematics, Vol 258, No. 2, (2012), p. 459-485.

32. Perdomo, O. CMC hypersurfaces on riemannian and semi-riemannian manifolds,  Math. Phys. Anal. Geom. 15 (2012), no. 1 p. 17-37.

31. Perdomo, O. Algebraic zero mean curvature varieties in semi-riemannian manifolds, Geom. Dedicata 152 (2011), 183-196.

30. Johnson, Perdomo Minimal tori with low nullity J. Math. Anal. Appl. 380 (2011) no. 1, 163-176.

29. Perdomo, O. Embedded cmc hypersurfaces on hyperbolic spaces, Rev. Colombiana Mat. 45 (2011) no. 1, 81-96.

28. Perdomo, O. Superficies con curvatura media constante, Bol Mat. Vol 18, No 2, pp 157-182, 2011.

27. Perdomo, O.  Embedded constant mean curvature hypersurfaces on spheres, Asian J. Math. Vol 14, No 1, pp 73-108, March 2010.

26. Perdomo, O. New examples of maximal space like surfaces in the anti-de Sitter space. J. Math. Anal. Appl. 353 (2009), no. 1, 403--409.

25. Alias, Brasil, Perdomo, O.  A characterization of quadratic constant mean curvature hypersurfaces of spheres. Journal of Geometric Analysis 18 no 3, (2008) 687--703.

24. Perdomo, O. Characterization of order 3 algebraic immersed minimal surfaces of S^3 Geom. Dedicata 129 (2007), 23--34.

23. Perdomo, O.Metrics on products of surfaces with non positive sectional curvature. Israel Journal of Mathematics 156 (2006) 65--71.

22. Alias, Brasil, Perdomo Stable constant mean curvature hypersurfaces in the real projective space. Manuscripta Math  121 (2006),  no. 3, 329--338.

21. Alias, Brasil, Perdomo On the   stability  index of hypersurfaces with constant mean curvature in spheres. Proc. Amer. Math. Soc. 135 (2007), no. 11 3685--3693.

20. Mesa, Perdomo Hipervariedades m\'{\I}nimas algebraicas en S^n  Rev. Un. Mat. Argentina  47 (2006), no. 2, 67--75.

19. Perdomo, O.  Non-existence of regular algebraic surfaces of spheres of degree 3.  J. Geom. 84 (2005), no.

1-2, 100--105.

18.  Arango, J and Perdomo, O Morse Theory for semianalytic functions. J. Geom. 84 (2005),  no. 1-2, 13--22.

17.  Perdomo, O.  Distribution of minimal varieties in spheres in terms of the coordinate functions. Rocky

Mountain J.Math. 35, No 1 (2005), pp 227-233.

16. Perdomo, O. On the average of the scalar curvature for minimal hypersurfaces of spheres with low index.

Illinois Journal of Mathematics. 48, No 2, Summer 2004. pp. 559-565.

15. Perdomo, O.  Rigidity of minimal hypersurfaces with two principal curvartures. Archiv Mathematik. 82

(2004) 180-184.

14. Perdomo, O. First eigenvalue characterization of Clifford hypersurfaces. Proc. Amer. Math. Soc.  Vol 130, No 11 (2002): pages. 3379-3384.

13. Perdomo, O.  Low index minimal hypersurfaces of spheres Asian Journal of Mathematics, 5, No 4 : 715-724. 2001.

12. Perdomo, O.  Sobre el nacimiento de la geometr\'{\i}a riemanniana. Revista Tumbaga 3 (2008), 157--173.

11. Montanno, Perdomo, Salas Métricas planas y el teorema de uniformización en toros mínimos de la esfera

unidad 3 dimensional. Rev. Acad. Colombiana Cienc. Exact. Fis Natur. 32 (2008) no. 123, 235--243.

10.  Perdomo, O. Minimal Torus invariant under one reflection. Mat. Ensen. Univ. Esp. Issue, (2007) pp. 11--16.

9. Perdomo, O. Minimal hypersurfaces in R^n as regular values of a function. Rev. Integr. Temas mat. 22 (2004), no. 1-2, 1--6.

8. Perdomo, O. Nonembeddability of the Klein Bottle in RP^3 and Lawson's Conjecture. Rev. Acad. Colombiana Cienc. Exact. Fis. Natur.  29  (2005), no. 110, 149--154.

7. Perdomo, O.   Another proof for the rigidity of Clifford minimal hypersurfaces of S^n. Matematicas: Enseñanza Universitaria.  Vol. XIII. No. 4. Junio de (2005), 91--97.

6. Perdomo, O.  Rigidity of minimal hypersurfaces of spheres with constant ricci curvarure. Rev. Colombiana Mat. 38 (2004),  no. 2, 73--85.

5. Perdomo O. Mathematical foundations of a surface made out of triangles. Revista Epiciclos 4 No 1 (2005),

77--87 .

4. Perdomo, O. Graficas de funciones sobre variedades. Matematicas: Enseñanza Universitaria. Vol.

XII. No. 1. Junio de 2004,  pp. 21-26.

3. Perdomo, O. Stable minimal hypersurfaces in R^8 and R^9 with constant scalar curvature. Revista

Colombiana de Matem\'aticas. 36, No 2, (2002) pp.

96-106.

2. Perdomo, O.  Totally geodesic surfaces and the Hopf's conjecture. Matematicas: Ensenanza Universitaria, Vol. X No 1,2 Dic.  (2002), pp. 29-35.

1.  Perdomo, O. La aplicación de Gauss de una superficie minima completa y lagrangiana no puede omitir

más de 4 puntos  Memorias III Escuela de Verano, Universidad de los Andes, 20 al 30 de junio de 1995. Pages 33-40.