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Published research papers

  1. Introducción a la Teoría de Operadores Diferenciales Aleatorios Ordinarios.Tesis. Depto. de Matemáticas de la Facultad de Ciencias Físicas y Matemáticas, U. de Chile (1969).

  2. Présentation de la Théorie du Signal à l'aide des Mesures Cylindriques.(in collaboration with Denis de BRUCQ). Revue du CETHEDEC (1er.trim.1971).

  3. Convergence en loi des Martingales Continues.C.R. Acad. Sci. Paris 282,sér.A (1976),483-485.

  4. Remarques sur la convergence en loi des martingales vers des martingales continues (1ère partie). C.R.Acad.Sci.Paris 285,sér.A (1977),464-468.

  5. Remarques sur la convergence en loi des martingales vers des martingales continues (2ème partie).C.R.Acad.Sci.Paris 285,sér.A (1977),517-520.

  6. Convergence en loi de martingales locales discontinues. C.R.Acad.Sci.Paris 287, sér.A, (1978), 27-28.

  7. Sur les applications de la Théorie des Martingales à l'étude statistique d'une famille de processus ponctuels. Proceedings Colloque de Stat. de Grenoble. Lecture Notes in Maths., Springer-Verlag, 636 (1978), 27-70.

  8. Méthodes de Martingales dans l'étude asymptotique des files d'attente. Comptes Rendus Colloque AFCET (1977).

  9. La Méthode des Martingales appliquée à l'étude de la convergence en loi de Processus. Bull.Soc.Math.de France,Mémoire 62 (1979),125 pages.

  10. Décomposition de Martingales Locales et Raréfaction des Sauts. Sém.de Probabilités XIII, U.de Strasbourg. Lect.Notes in Maths. 721 (1979),138-146.

  11. Martingales et Convergence Etroite de Mesures de Probabilités. Kybernetika,Prague,15 (1979), 1.

  12. Martingales et Convergence Etroite des Mesures de Probabilités. Thèse de Doctorat d'Etat. Université de Paris VI ``Pierre et Marie Curie'', (1979), 212 pages.

  13. Sur le Théorème de la Limite Centrale pour les Martingales Locales. C.R.Acad.Sci.Paris 288,sér.A,(1979),879-882.

  14. Sur les Temps d'Arrêt et la Topologie Etroite.C.R.Acad.Sci.Paris 289 (1979),707-709.
  15. Temps d'Arrêt et conditions nécessaires et suffisantes de compacité étroite por une suite de probabilités. Rapport Univ. de Nice (1979).

  16. Central Limit Theorems for Local Martingales. Zeit. für Wahrscheinlichkeitstheorie verw. Gebiete 51 (1980),269-286.

  17. Semi-martingales et variations quadratiques. Conditions Nécessaires et Suffisantes de convergence en loi vers une Martingale Gaussienne. C.R.Acad.Sci.Paris 290, sér.A,( 1980), 815-817.

  18. Sur l'existence de solutions à certains problèmes de Semimartingales.C.R.Acad.Sci.Paris 290,sér.A,(1980),843-846.

  19. Continuous Local Martingales,Local Times and Scale Processes (with Uwe KUCHLER, Univ.Humboldt de Berlin). REBRAPE (1989), vol.3, 43-57.
  20. Sur le Domaine d'Attraction de certains Problèmes de Martingales.Proceedings 43 ISI Meeting,Buenos Aires (1981).
  21. Sobre la Dominación de Procesos. Notas Matemáticas 13,Facultad de Matemáticas, P.U.C. (1982)

  22. L'Approximation des Diffusions et les Théorèmes de la Limite Centrale. Actas del 5 SINAPE,IME-USP (1983),68-74.

  23. Weak Convergence of Semimartingales and Discretization Methods (joint work with Eckhard PLATEN, Berlin). Stochastic Processes and their Applications 20 (1985), 41-58. North Holland.

  24. Topologie Faible et Meta-stabilité. Sém. de Probabilités XXI,Lect. Notes in Maths. 1247 Springer-Verlag (1987),544-562.

  25. Weakening the Skorokhod's Topology. Theory of Probability and Appl. [Teoria Veroiatnosteii i primeneniia]n 1 (1987),170-172.
  26. Maximum Entropy selection of solutions to Ill-posed Martingale Problems. Bernoulli, Vol.2, VNU Press,(1987), 67-70.

  27. Funcionales Convexos sobre los Sistemas Dinámicos Estocásticos. Actas del 16 Coloquio Brasileiro de Matemática (1987)

  28. Pseudotrajectories and Stability Problems for Stochastic Dynamica Systems. Lecture Notes in Maths. 1412 (1989), Springer, Proceedings of the International Seminar on Stability Problems for Stochastic Models organized by the USSR Academy of Sciences, V.V.Zolotarev and V.V.Kalashnikov editors .

  29. Diffusion Processes associated to a Laser Model (1990),(with J.Retamal and C. Saavedra). Journal of Mathematical Physics 33, 826-831.

  30. Stochastic Analysis approach to the Laser model (1990) (with J.Retamal and C. Saavedra). in Contribuciones Científicas y Tecnológicas USACh.,167-171.

  31. The role of Weak Topologies in Stochastic Mechanics (1991). Contribuciones en Prob. y Est. Mat., Caracas, Ed. Bernoulli, núm.3 (1992), 43-60

  32. Sur la régularité des trajectoires d'un flot non adapté (1991). Comptes Rendus de l'Académie des Sciences de Paris, t.313, sér.I, 407-409.

  33. Sur la Convergence d'Intégrales Anticipatives (1991). (joint work with G.BOBADILLA and E. SAAVEDRA), ``Séminaire de Proba. XXVI'' Lect. Notes in Maths. 1526, 505-513.

  34. Les Principes d'Invariance en Probabilité sur l'espace de Wiener (1991), ``Sém. Proba. XXVI'', Lect. Notes in Maths. 1526, Springer,501-504.

  35. A Random Field approach to weak convergence of processes (1993). (joint work with L. G. Gorostiza).``Statistics and Probability Letters'' 18, 49-55.

  36. Sur l'entropie spectrale et le temps de séjour quantique (1993). (joint work with C. FERNANDEZ).C.R. Acad.Sci. Paris, t.316, Série I,569-572.

  37. On Quantum Resonance (1993). (joint work with C. Fernández).Quantum Probability, vol.VIII, 165-188.

  38. Entropy Functionals in Quantum Probability. ``Aportaciones Matemáticas'', Soc. Matemática de México, n. 7, (1992), 13-36.

  39. Changing time in the Functional Central Limit Theorem (1994). Stability Problems for Stochastic Models, TVP/VSP,V.M. Zolotarev (ed.), 239-246.

  40. Quantum Flows Associated to Master Equations in Quantum Optics (1994), (joint work with Franco Fagnola and Carlos Saavedra). ``Journal of Mathematical Physics'', 35,1-12.

  41. Pricing via Anticipative Stochastic Calculus (1994), (joint work with E. Platen). Advances in Applied Probability , Vol.26, Number 4,1006-1021.

  42. Sur les temps moyen de séjour quantique (1994), (joint work with L. Accardi, C. Fernández, H. Prado).C.R.Acad. Sci. Paris, t.319, sér.I, 723-726.

  43. Un modelo estocástico para asignar precios de bonos (1994), Estudios de Economía, U.Ch., vol.21, núm. 21, 91-104.

  44. Stochastic simulation of street lamps operation (1995), (joint work with S. Ríos, M. Matus and R. Trigo). Transactions IEEE, 95SM, 588-4 PWRS, 1-7.

  45. Sur les semigroupes dynamiques quantiques (1996), Ann.Math.Blaise Pascal 3, No. 1, 125-142.

  46. An ergodic theorem in Quantum Optics (1996), (joint paper with F. Fagnola), Proceedings of the Univ. of Udine Conference in honour of A. Frigerio, Editrice Universitaria Udinese, pp. 73-86, 1996.

  47. Sur l'approche de l'équilibre au moyen des flots quantiques (1995),(joint paper with F. Fagnola), C.R.Acad.Sci.Paris, sér. I,t.321, 473-476.

  48. Principles for modelling financial markets (1996), (joint work with E. Platen), J.Appl.Proba., vol. 33,601-613.

  49. On the recurrence of Quantum Dynamical Semigroups, (1997). Proc. ANESTOC'96, World Scientific Pub., 130-141.

  50. Reduction of noise by squeezed vacuum, (1997), (joint work with F.Fagnola and C.Saavedra). Proc. ANESTOC'96, World Scientific Pub., 59-69.

  51. Classical Limit Theorems related to Quantum Phase, (1998), (joint work with F. Fagnola). Open Systems and Information Dyn. 5, 289-301.

  52. The approach to equilibrium of a class of Quantum Dynamical Semigroups (1998), (joint paper with F. Fagnola), Inf.Dim.Anal.Q.Proba. and Rel. Topics, Vol.1, No.4, 1-12.

  53. A view on Stochastic Differential Equations derived from Quantum Optics, (joint paper with F. Fagnola), ``Aportaciones Matemáticas de la Soc. Mexicana de Mat.'', Modelos Estocásticos, vol.14,193-214, 1998.

  54. On the Mean Quantum Sojourn Time, (joint paper with L.Accardi, C.Fernández, H.Prado), Open Systems and Inf. Dynamics Vol. 6, 227-240, 1999.

  55. The Wave Map of Feller Semigroups, In:``Stochastic analysis and mathematical physics ''(Santiago, 1998), Birkhäuser Boston, (2000), 109-121.

  56. Entropy Functional and Resonant Pure States, (joint work with C. FERNANDEZ), `''Notas de la Soc. de Matemática de Chile'', 22-37, 2001.

  57. On the existence of invariant states for quantum dynamical semigroups (joint work with F. Fagnola). J.Math.Phys. 42, 1296-1308, 2001.

  58. Complete positivity and Open Quantum Systems. Stochastic Analysis and Mathematical Physics (Lisbon, 1999), Prog. Prob. vol. 50 Birkhäuser Boston,101-132, 2001.

  59. Quantum Markov Semigroups and their stationary states (joint work with F. Fagnola), ``Stochastic analysis and mathematical physics '', Birkhäuser Basel ISBN 3-7643-6997-3, 77-128, 2003.

  60. Subharmonic projections for a Quantum Markov Semigroup, (joint article with F. Fagnola).J.Math.Phys. 43, 1074-1082, 2002.

  61. Quantum Interacting Particles related to the Exclusion Process,``Aportaciones Matemáticas'', Sociedad de Matemáticas Mexicana, vol.16, 271-293, 2001.

  62. Some results on invariant states for quantum Markov semigroups, (joint paper with F.  Fagnola), Lect. Notes in Pure and Appl.Math., Dekker, N.Y., 197-208, 2002.

  63. Lectures on the qualitative analysis of Quantum Markov Semigroups,(joint article with F. Fagnola),Qauntum Probability Communications, QP-PQ, vol. XIV, 197-239, 2002.

  64. Transience and Recurrence of quantum Markov semigroups, (joint article with F. Fagnola), Probability Theory and Related Fields, Springer, vol. 126, 289-306, 2003.

  65. Limit Problems for Quantum Dynamical Semigroups-inspired from Scattering Theory. Quantum Probability Communications QP-PQ, vol.XII, 139-172, 2003.

  66. Open quantum systems and classical trajectories. In Stochastic analysis and mathematical physics (SAMP/ANESTOC 2002), pages 141-164. World Sci. Publishing, River Edge, NJ, 2004.

  67. Decoherence of quantum Markov semigroups. Ann. Inst. H. Poincaré Probab. Statist., 41(3):349-373, 2005.

  68. A view on decoherence via master equations.
    Open Syst. Inf. Dyn., 12(1):37-54, 2005.

  69. The Quantum Flow of Electronic transport, (joint research with Bellissard J., Spehner D. and von Waldenfels W.), preprint (2000).

  70. Nonlinear Stochastic Schrödinger Equations, (joint paper with C.  Mora), preprint (2006).

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Rolando Rebolledo 2006-03-06