List of Publications of L. Stoyanov


 
 

                                              Monographs

  1. (with D.Dikranjan and Iv.Prodanov) Topological Groups: Characters, Dualities and Minimal Group Topologies. Marcel Dekker, New York, 1989.
  2. (with V. Petkov) Geometry of reflecting rays and inverse spectral problems. John Wiley and Sons, Chichester, 1992.
  3. (with Titu Andreescu and Oleg Mushkarov) Geometric Problems on Maxima and Minima, Birkhauser , Boston 2006.

    4.                                           Articles

  4. A property of precompact minimal abelian groups. Annuaire Univ. Sofia Fac. Math. Mec. 70 (1975/76), 253-260.
  5. Precompactness of the minimal metrizable periodic abelain groups. Annuaire Univ. Sofia Fac. Math. Mec. 71 (1976/77), part II, 45-52.
  6. (with D. Dikranjan) A-classes of minimal abelian groups. Annuaire Univ. Sofia Fac. Math. Mec. 71 (1976/77), part II, 53-62.
  7. Weak periodicity and minimality of topological groups. Annuaire Univ. Sofia Fac. Math. Mec. 73 (1978/79), 155-167.
  8. Some minimal abelian groups are precompact. C. R. Acad. Bulgare Sci. 34 (1981), 473-475.
  9. (with D. Dikranjan) Criterion for minimality of all subgroups of a topological abelian group. C. R. Acad. Bulgare Sci. 34 (1981), 635-638.
  10. Some minimal abelain groups are precompact. PLISKA Stud. Math. Bulgar. 6 (1983), 75-89.
  11. Dualities over compact commutative rings. Rend. Acad. Naz. XL, V Ser. 101 (1983), 155-176.
  12. On the infinite-dimensional unitary groups. C. R. Acad. Bulgare Sci. 36 (1983), 1261-1263.
  13. (with Yu. M. Smirnov) On minimal equivariant compact extensions. C. R. Acad. Bulgare Sci. 36 (1983), 733-736.
  14. Total minimality of the unitary groups. Math. Z. 187 (1984), 273-283.
  15. (with Iv. Prodanov) Every minimal abelain group is precompact. C.R.Acad. Bulgare Sci. 37 (1984), 23-26.
  16. (with V. Petkov) Periodic geodesics of generic nonconvex domains in R^2 and the Poisson relation. Bull. Amer. Math. Soc. 15 (1986), 88--90.
  17. Generic properties of scattered rays. C.R.Acad.Bulgare Sci. 39 (1986), 13-14.
  18. (with V. Petkov) Periods of multiple reflecting geodesics and inverse spectral results. Amer. J. Math. 109}(1987), 619--668.
  19. Generic properties of periodic reflecting rays. Ergodic Theory and Dynam. Sys. 7 (1987), 597--609.
  20. (with D. Remus) On the completion of topological groups. C. R. Acad. Bulgare Sci. 40 (1987), 9-11.
  21. Generic properties of periodic billiard trajectories (in Russian) Uspehi Mat. Nauk 42 (1987), 199-200.
  22. (with V. Petkov) Spectrum of the Poincar\'e map for periodic reflecting rays in generic domains. Math. Z. 194 (1987), 505--518.
  23. Uniqueness of the topological entropy for endomorphisms on compact groups. Bolletino U.M.I. (7) 1-B (1987), 829-847.
  24. (with V. Petkov) On the number of periodic reflecting rays in generic domains. Ergodic Theory and Dynam. Sys. 8 (1988), 81--91.
  25. (with V. Petkov) Singularities of the scattering kernel and scattering invariants for several strictly convex obstacles. Trans. Amer. Math. Soc. 312 (1989), 203--235.
  26. (with V. Petkov) Singularities of the scattering kernel for a class of star-shaped non-convex obstacles. Mat. Apl. Comput. 8 (1989), 167--176.
  27. An estimate from above of the number of periodic orbits for semi--dispersed billiards. Commun. Math. Physics 124 (1989), 217--227.
  28. (with F. Cardoso and V. Petkov) Singularities of the scattering kernel for generic obstacles. Ann. Inst. Henri Poincare 53, No. 4 (1990), 445--466.
  29. A bumpy metric theorem and the Poisson relation for generic strictly convex domains. Math. Ann. 287 (1990), 675--696.
  30. (with D. Remus) Complete minimal and totally minimal groups. Topology and Appl. 42 (1991), 57-69.
  31. Nonexistence of generalized scattering rays and singularities of the scattering kernel for generic domains in R^3. Proc. Amer. Math. Soc. 113 (1991), 847-856.
  32. Note on the periodic points of the billiard. J. Diff. Geometry 34 (1991), 835-837.
  33. (with F. Takens) Generic properties of closed geodesics on smooth hypersurfaces. Math. Ann. 296 (1993), 385-402.
  34. (with V.Petkov) Sojourn times of trapping rays and the behaviour of the modified resolvent of the Laplacian. Ann. Inst. Henri Poincare (Phys. Theorique) 62 (1995), 17-45.
  35. (with K.H.Hofmann) Topological entropy for group and semigroup actions. Adv. in Math. 115 (1995), 54-98.
  36. Weak H\"older continuity of the generalized Hamiltonian flow. J. Math. Anal. Appl. 204 (1996), 164-182.
  37. (with V. Petkov) Singularities of the scattering kernel for trapping obstacles. Ann. Sci. Ec. Norm. Sup. 29 (1996), 737-756.
  38. On the scattering length spectrum. C.R.Acad.Sci. Paris, Serie I, 325 (1997), 1169-1174.
  39. Instability and entropy for a class of dispersing billiards. C.R.Acad.Sci. Paris, Serie I, 326 (1998), 737-742.
  40. Exponential instability for a class of disspersing billiards (pdf) Ergodic Theory and Dynamical Systems   19 (1999), 201-226.
  41. Generalized Hamilton flow and Poisson relation for the scattering kernel (pdf)   Ann.Sci. Ecole Norm. Sup.,    33 (2000), 361-382.
  42. On the scattering length spectrum for real analytic obstacles, (pdf) J. Funct. Analysis,    177 (2000), 459-488.
  43. Spectrum of the Ruelle operator and exponential decay of correlations for open billiard flows, (pdf) Amer. J. Math.,    123 (2001), 715-759.
  44. Rigidity of the scattering length spectrum, (pdf) Math. Ann. 324 (2002), 743 - 771.
  45. A sharp asymptotic for billiard travelling times in the exterior of two convex domains, (pdf) Asymptotic Analysis,    35 (2003), 235-255.
  46. On the Ruelle-Perron-Frobenius theorem, (pdf) Asymptotic Analysis,    43 (2005), 131-150.
  47. Ruelle zeta functions and spectra of transfer operators for some Axiom A flows, (pdf) Preprint, 2005 (unpublished).
  48. (with V. Petkov) Analytic continuation of the resolvent of the Laplacian and the dynamical zeta function, C. R. Acad. Sci. Paris, Ser.I, 345 (2007), 567-572.
  49. Spectra of Ruelle transfer operators for contact flows, Serdica Math. J.    34 (2008), 219-252.
  50. Scattering resonances for several small convex bodies and the Lax-Phillips conjecture, (pdf) Memoirs Amer. Math. Soc., v. 199, No. 933, 2009 (76 pages).
  51. (with V. Petkov), Correlations for pairs of periodic trajectories for open billiards, (pdf) Nonlinearity, 22 (2009), 2657-2679.
  52. (with V. Petkov) Analytic continuation of the resolvent of the Laplacian and the dynamical zeta function, (pdf) Analysis and PDE, 3 (2010), 427- 489
  53. Non-integrability of regular open billiard flows and Dolgopyat type estimates , (pdf) Ergodic Theory and Dynamical Systems, 32 (2012), 295 - 313
  54. Tangent bundles to regular basic sets in hyperbolic dynamics, (pdf) Proc. Amer. Math. Soc., to appear.
  55. (with D. Dikranjan) An elementary approach to Haar integration and Pontryagin duality in locally compact abelian groups, (pdf) Topology and Appl., 158 (2011), 1942 - 1961
  56. Spectra of Ruelle transfer operators for Axiom A flows, (pdf) Nonlinearity 24 (2011), 1089-1120. (doi:10.1088/0951-7715/24/4/005)
  57. Pinching conditions, linearization and regularity of Axiom A flows, (pdf) Preprint, 2010.
  58. (with V. Petkov) Distribution of periods of closed trajectories in exponentially shrinking intervals, (pdf) Commun. Math. Phys., to appear.
  59. Regular decay of ball diameters and spectra of Ruelle operators for contact Anosov flows, (pdf) Proc. Amer. Math. Soc., to appear.

    60.                              Conference and seminar publications

  60. Cardinalities of minimal abelian groups. Proc. 10th Spring Conference of Bulgarian Mathematicians, Sunny Beach (1981), 203 - 208.
  61. On products of minimal and totally minimal groups. Proc. 11th Spring Conference of Bulgarian Mathematicians, Sunny Beach (1982), 287-294.
  62. (with Iv. Prodanov) Minimal group topologies. Colloq. Math. Soc. Janos Bolyai 41. Topology and Appl., North-Holland, 1983, 493-508.
  63. (with V. Petkov) Proprietes generiques de l'application de Poincare et des geodesiques periodiques generalisees. Seminaire Equations aux Derivees Partieles, Ecole Polytechnique, Centre de Math., Expose XI (1985-1986).
  64. (with V. Petkov) Singularities of the scattering kernel for nonconvex obstacles. Conf. Equations aux Derivees Partielles. Saint-Jean-de-Monts, Societe Math. de France (1987), Expose XI.
  65. Generic properties of periodic reflecting rays and the Poisson relation. Proc. Banach Semester on Ergodic Theory and Dynamical Systems, Warsaw, 1986; PWN - Warszawa, 1989.
  66. Regularity properties of the generalized Hamiltonian flow. S\'eminaire Equations aux Derivees Partielles, Ecole Polytechnique, Expos\'e VI, 1992-1993.
  67. Poisson relation for the scattering kernel and inverse scattering by obstacles. S\'eminaire Equations aux Derivees Partielles, Ecole Polytechnique, Expos\'e V, 1994-1995.
  68. (with V. Petkov) Sojourn times of reflecting rays and singularities of the scattering kernel, Proc. of Third International Conference on Mathematical and Numerical Aspects of Wave Propagation Phenomena, April 1995, Mandilieu, France, Ed. Gary Cohen, SIAM, Philadelphia, 1995, pp. 516-525.
  69. Spectrum of the Ruelle operator and zeta functions for broken geodesic flows, Proc. Nat. Res. Symp. on Geometric Analysis and Applications, Australian National University, June 2000, pp. 201-212.
  70. (with V. Petkov) Sojourn times, Singularities of the scattering kernel and Inverse Problems, In: Inside Out: Inverse Problems and Applications, Mathematical Sciences Research Institute, G. Uhlmann (Ed.), Cambridge Univ. Press 2003, pp. 297-332.
  71. (with V. Petkov) Singularities of the scattering kernel related to trapping rays, In: Advances in Space Phase Analysis of Partial Differential Equations, A. Bove, D. Del Santo and M. Murthy (Eds.), Progress in Nonlineal Diff. Equations and their Applications Vol. 78 , Birkhauser, Boston 2009, pp. 235-251.

    72.  

    Other Publications

  72. (with E. Stoyanova) The winter mathematical holidays in Bulgaria, Mathematics Competitions, J. of the World Federation of National Math. Competitions 2 (1989)
  73. (with O. Mushkarov) Extremal Problems in Geometry (in Bulgarian). Enrichment Courses in Mathematics and Informatics, Narodna Prosveta, Sofia 1989 (133 pages).

    74.  

     
     
     
     
     
     
     
     
     
     
     

Back to Home Page