Lista de publicaciones - Research papers and books of Víctor F. Sirvent

Articles

• 1. M.J. González, V.F. Sirvent and R. Urzúa:  Homological data on the periodic structure of self-maps on wedge sums. To appear in Qualitative Theory of Dynamical Systems.

  2. V.F. Sirvent: On the periodic structure of $C^1$ self-maps on the product of spheres of different dimensions, Journal of Fixed Point Theory and Applications, 26, No 4, Paper No 50, 17p. (2024).

  3.  B. San Martín and V.F. Sirvent:  Generalized Fibonacci shifts in the Lorenz Attractor, Chaos, Solitons and Fractals, 169 (2023) 113239.

  4. V.F. Sirvent: On partially periodic point free self-maps on the wedge sums of spheres,  Journal of Difference Equations and Applications, 29 (2023), 19-31.

  5. T. Komatsu and V.F. Sirvent: Poly-Cauchy Numbers with Higher Level, Symmetry, 15 (2023), 354.

  6. K. Vivas and V.F. Sirvent:  Metric entropy for set-valued maps, Discrete and Continuous Dynamical Systems Series B, 27 (2022), 6589-6604.

  7. T. Komatsu, J.L. Ramírez and V.F. Sirvent:  Some combinatorial identities involving q-harmonic numbers and generalized  q-harmonic numbers, Journal of Nonlinear and Convex Analysis, 23 (2022), 847--857.

  8. Y. Quintana ,J.L. Ramírez and V.F. Sirvent:  On Generalized Bernoulli-Barnes polynomials,  Mathematical Reports,  24 (2022), 617--636.

  9.  L. Badilla, D. Carrasco-Olivera, V.F. Sirvent and H. Villavicencio: Topological stability for fuzzy expansive maps,  Fuzzy Sets and Systems,  45 (2021), 34--47.

  10. J. Llibre and V.F. Sirvent: Periodic structure of the transversal maps on surfaces, Journal of Fixed Point Theory and Applications,  23 (2021), Paper No. 74, 13 pp.

  11. J. Llibre and  V.F. Sirvent: Entropy and periods for continuous graph maps,  Computational and Applied Mathematics, 40 (2021), Paper No. 300, 11pp.

  12. K. Scheicher, V.F. Sirvent  and P. Surer: Measure-wise disjoint Rauzy fractals with the same incidence matrix, Monatshefte für Mathematik, 194 (2021), 857--871.

  13. C.A. Morales, B. San Martín and V.F. Sirvent: Entropy bounds through continuum theory, Proceedings of the American Mathematical Society, 149 (2021) 1061--1075.

  14. P. Berrizbeitia, M.J. González and V.F. Sirvent: On the Lefschetz zeta function for a class of toral maps: Qualitative Theory of Dynamical Systems, 20, No. 1, Paper No. 17, 15 p. (2021).

  15. J.L. Ramírez and V.F. Sirvent: A (p,q)-Analogue of Poly-Euler Polynomials and some related polynomials, Ukrainian Mathematical Journal, 72 (2020) 536--554.

  16. V.F. Sirvent: Partially periodic point free self-maps on product of spheres and Lie groups, Qualitative Theory of Dynamical Systems,   19, No. 3, Paper No. 84, 12 p. (2020).

  17. J. Llibre and V.F. Sirvent: Periods of holomorphic maps on compact Riemann surfaces and product of spheres, Journal of Difference Equations, 26 (2020), 1059--1066.

  18. V.F. Sirvent: A note on the periodic structure of transversal maps on the torus and products of spheres, Qualitative Theory of Dynamical Systems, 45 (2020), Article number 45.

  19. J. Llibre and V.F. Sirvent:  On topological entropy, Lefschetz numbers and Lefschetz zeta functions, Topology and its Applications, 268 (2019), 106906, 14 pp.

  20. J. Llibre and V.F. Sirvent: Periodic structure of transversal maps on sum-free product of spheres,  Journal of Difference Equations and Applications, 25 (2019), 619--629.

  21. P. Berrizbeitia, M.J. González and V.F. Sirvent: On the Lefschetz zeta function and the minimal sets of Lefschetz periods for Morse– Smale diffeomorphisms on products of l-spheres, Topology and its Applications,  235 (2018), 428--444.

  22. J. Llibre and V.F. Sirvent:  On Lefschetz periodic point free maps.  Journal of Fixed Point Theory and Applications, 20 (2018), no. 1, Art. 38, 9 pp. 

  23. J.L. Ramírez and V.F. Sirvent: Generalized Schröder matrix and its combinatorial interpretation. Linear and Multilinear Algebra, 66 (2018), no. 2, 418--433.

  24. V.F. Sirvent: Representation of the self-similar structure of Rauzy fractals using integer binary operations,    Analele  Stiintifice ale Universitatii ``Al. I. Cuza''  Iasi. Serie Noua. Matematica. Annals of the Alexandru Cuza,  University. Mathematics,  63 (2017), no. 3, 507--519.

  25. T. Komatsu, J.L. Ramírez and V.F. Sirvent: Multi-poly-Bernoulli numbers and polynomials with a q-parameter, Lithuanian Mathematical Journal, 57 (2017), 490–505.

  26. P. Berrizbeitia, M.J. González, A. Mendoza and V.F. Sirvent: On the Lefschetz zeta function for quasi--unipontent maps on the n-dimensional torus. II: The general case. Topology and its Applications, 210 (2016), 246-262.

  27. C.A. Morales and V. Sirvent, Expansivity for measures on uniform spaces. Transactions of the American Mathematical Society, 368 (2016), 5399–5414.

  28. K. Scheicher, V.F. Sirvent and P. Surer,  Dynamical properties of the tent map. Journal of the London Mathematical Society, 93 (2016), 319-340.

  29. K. Scheicher, V.F. Sirvent and P. Surer, Beta-expansions of p-adic numbers. Ergodic Theory and Dynamical Systems, 36 (2016), 924-943

  30. K. Scheicher, V.F. Sirvent and P. Surer,  Symmetric and congruent Rauzy fractal. Indagationes Mathematicae, 27 (2016), 799–820..

  31. J. Llibre and V.F. Sirvent, $C^1$ Self-maps on closed manifolds with finitely many periodic points all of them hyperbolic. Mathematica Bohemica, 141 (2016), 83-90.

  32. T. Sellami and V.F. Sirvent, Symmetric intersections of Rauzy fractals. Quaestiones Mathematicae, 39 (2016), 289–305.

  33. J.L. Ramírez and V.F. Sirvent, A q-analog of the bi-periodic Fibonacci sequence. Journal of Integer Sequences, 19 (2016), Article 16.4.6

  34. W.G. Nowak, K. Scheicher and V.F. Sirvent, On Hausdorff dimension monotonicity of a family of dynamical subsets of Rauzy fractals. International Journal of Number Theory, 11 (2015), 1089-1098.

  35. V.F. Sirvent, Expanding maps on the circle and geodesic laminations. Bulletin of The Belgian Mathematical Society, 22 (2015), 143-158.

  36. J.L. Ramírez and V.F. Sirvent, A generalization of the k-bonacci sequence from Riordan arrays. The Electronic Journal of Combinatorics, 22 (2015), #P1.38.

  37. J. Llibre and V.F. Sirvent, $C^1$ Self-maps on closed manifolds with all their periodic points hyperbolic. Houston Journal of Mathematics, 41 (2015), 1119-1127.

  38. V.F. Sirvent and J.M. Thuswaldner, On The Fibonacci Mandelbrot set.  Indagationes Mathematicae, 26 (2015), 174-190.

  39. J.L. Ramírez and V.F. Sirvent, A note on the k-Narayana sequence. Annales Mathematicae et Informaticae, 45 (2015), 91-105.

  40. V.F. Sirvent, Self-similar sets satisfying the common point property. Chaos, Solitons and Fractals, 69 (2014), 117-128.

  41. P. Berrizbeitia and V.F. Sirvent, On the Lefschetz zeta function for quasi-unipotent maps on the n-dimensional torus. Journal of Difference Equations and Applications, 20 (2014), 961-972.

  42. J.L. Ramírez and V.F. Sirvent, Incomplete Tribonacci Numbers and Polynomials. Journal of interger sequences, 17 (2014), Article 14.4.2.

  43. K. Scheicher and V.F. Sirvent, Automatic beta-expansions of formal Laurent series over finite fields. Finite Fields and Their Applications, 27 (2014), 1-23.

  44. V.F. Sirvent, Integer semigroups associated with Dumont-Thomas numeration systems. ISRN Combinatorics, vol. 2014, Article ID 275260, 5 pages, 2014. doi:10.1155/2014/275260.

  45. J. Llibre and V.F. Sirvent, Partially periodic point free self-maps on surfaces, graphs, wedge sums and product of spheres. Journal of Difference Equations and Applications, 19 (2013), 1654-1662.

  46. J. Llibre and V.F. Sirvent, A survey on the minimal sets of Lefschetz periods for Morse-Smale diffeomorphisms on some closed manifolds. Publicaciones Matemáticas del Uruguay, 14 (2013), 155-169.

  47. V.F. Sirvent, Pisot numbers and chromatic zeros. Integers, 13 (2013), A30.

  48. J. Llibre and V.F. Sirvent, Minimal sets of periods for Morse-Smale diffeomorphisms on non-orientable compact surfaces without boundary. Journal of Difference Equations and Applications, 19 (2013), 402-417.

  49. V.F. Sirvent, Space filling curves and geodesic laminations: II - Symmetries. Monatshefte für Mathematik, 166 (2012), 543-558.

  50. V.F. Sirvent, Symmetries in Rauzy Fractals. Uniform Distribution Theory, 7 (2012), 155-171.

  51. V. Berthé, D. Frettlöh and V. Sirvent, Selfdual substitutions in dimension one. European Journal of Combinatorics, 33 (2012), 981-1000.

  52. B. Iskra and V.F. Sirvent, Cyclotomic polynomials and minimal sets of Lefschetz periods. Journal of Difference Equations and Applications, 18 (2012), 763-783.

  53. V.F. Sirvent, Symmetries on k-bonacci adic systems. Integers, 11B (2011), A15.

  54. J. Llibre and V.F. Sirvent, Minimal set of periods for Morse-Smale diffeomorphisms on orientable compact surfaces. Houston Journal of Mathematics, 35 (2009), 835-855. Erratum, Houston J. of Math, 36 (2010), 335-336.

  55. B. Sing and V.F. Sirvent, Geometry of the common dynamics of flipped Pisot substitutions. Monatshefte für Mathematik, 155 (2008), 431-448.

  56. V.F. Sirvent, Space filling curves and geodesic laminations. Geometriae Dedicata, 135 (2008), 1-14.

  57. V.F. Sirvent, Spectra of recurrence dimension for dynamically defined subsets of Rauzy fractals. Fractals, 14 (2006), 7-16.

  58. V.F. Sirvent, Sistemas de numeración, sistemas dinámicos substitutivos y fractales de Rauzy (in Spanish). Boletín de la Asociación Matemática Venezolana, 11 (2004), 191-212.

  59. V.F. Sirvent, Hilbert's Space Filling Curves and Geodesic Laminations. Mathematical Physics Electronic Journal, 9 (2003).

  60. V.F. Sirvent, Geodesic laminations as geometric realizations of Arnoux-Rauzy sequences. Bull. Belgian Math. Soc., 10 (2003), 221-229.

  61. V.F. Sirvent, Spectra of recurrence dimension for adic systems. Stochastics and Dynamics, 2 (2002), 599-608.

  62. V.F Sirvent and B. Solomyak, Pure Discrete Spectrum for One-dimensional Substitution Systems of Pisot Type. Canad. Math. Bull. 45 (2002), 697-710.

  63. V.F. Sirvent and Y. Wang, Self-Affine Tiling Via Substitution Dynamical Systems and Rauzy Fractals. Pacific Journal of Mathematics, 206 (2002), 465-485.

  64. V.F. Sirvent, The Arnoux semi-conjugacy is Hölder continuous.  Journal of Mathematical Analysis and Applications, 259 (2001), 357-367.

  65. V.F. Sirvent, The common dynamics of the tribonacci substitutions. Bull. Belgian Math. Soc.  7 (2000), 571-582.

  66. S. Ngai, V.F. Sirvent, J.J.P. Veerman and Y. Wang, 2-Reptiles in the Plane. Geometriae Dedicata, 82 (2000), 325-344.

  67. V.F. Sirvent, Geodesic Laminations as geometric realizations of Pisot substitutions.  Ergodic Theory and Dynamical Systems, 20 (2000), 1253-1266.

  68. V.F. Sirvent, Semigroups and the self-similar structure of the flipped tribonacci substitution. Applied Mathematics Letters, 12 (1999), 25-29.

  69. V.F. Sirvent, Identifications and dimension of the Rauzy Fractal. Fractals, 5, (1997), 281-294.

  70. V.F. Sirvent, A semigroup associated with k-bonacci numbers with dynamic interpretation. The Fibonacci Quarterly, 35 (1997), 335-340.

  71. V.F. Sirvent, On some dynamical subsets of the Rauzy Fractal. Theoretical Computer Science, 180 (1997), 363-370.

  72. V.F. Sirvent, Relationships between the dynamical systems associated to the Rauzy substitutions. Theoretical Computer Science, 164 (1996), 41-57.

Books

• 1. C.A. Morales and V.F. Sirvent, Expansive Measures, 29 - Coloquio Brasileiro de Matemática, Publicações Matemáticas, IMPA, 2013.

Theses

• 1. V.F. Sirvent, Modélos geométricos asociados a substituciones. Trabajo de ascenso, Universidad Simón Bolivar, 1998.

  2. V.F. Sirvent, Properties of geometrical realizations of substitutions associated to a family of Pisot numbers, Ph. D. Thesis, University of Warwick, England, 1993.