Publications

    Monographs

  1. L. Aussenhofer, D. Dikranjan, A. Giordano Bruno: Topological Groups and the Pontryagin-van Kampen Duality. An Introduction. De Gruyter Stud. Math., 83. De Gruyter, Berlin, 2022, xiv+376 pp. ISBN: 978-3-11-065349-6; 978-3-11-065355-7.

    2. Papers

  2. D. Dikranjan, R. Di Santo, A. Giordano Bruno, H. Weber: An introduction to I-characterized subgroups of the circle, submitted.
  3. H. Akin, D. Dikranjan, A. Giordano Bruno, D. Toller: The algebraic entropy of one-dimensional finitary linear cellular automata, to appear in Journal of Group Theory.
  4. D. Dikranjan, A. Giordano Bruno, S. Virili: Ore localization of amenable monoid actions and applications towards entropy - addition formulas and the bridge theorem, Illinois J. Math. 67 (2023), no. 4, 715-787.
  5. D. Dikranjan, A. Giordano Bruno, N. Zava: Epimorphisms and closure operators of categories of semilattices. Quaest. Math. 46 (S1) (2023), 191-221.
  6. I. Castellano, A. Giordano Bruno, N. Zava: Weakly weightable generalized quasi-metric spaces and semilattices. Theoret. Comput. Sci. 977 (2023), Paper No. 114129, 29 pp.
  7. A. Giordano Bruno: Growth of groups and group endomorphisms. Adv. Group Theory Appl. 15 (2023), 35-62.
  8. G. Barbieri, D. Dikranjan, A. Giordano Bruno, H. Weber: Factorizable subgroups of the circle group. Topology Appl. 323 (2023), Paper No. 108283, 10 pp.
  9. D. Dikranjan, A. Fornasiero, A. Giordano Bruno, F. Salizzoni: The addition theorem for locally monotileable monoid actions. J. Pure Appl. Algebra 227 (2023), no. 1, Paper No. 107113, 35 pp.
  10. D. Dikranjan, A. Giordano Bruno, H.-P. Künzi, D. Toller, N. Zava: Generalized quasi-metric semilattices. Topology Appl. 309 (2022), Paper No. 107916, 35 pp..
  11. I. Castellano, D. Dikranjan, D. Freni, A. Giordano Bruno, D. Toller: Intrinsic entropy for generalized quasimetric semilattices. J. Algebra Appl. 21 (2022), no. 10, Paper No. 2250244, 24 pp.
  12. A. Biś, D. Dikranjan, A. Giordano Bruno, L. Stoyanov: Metric vs topological receptive entropy for semigroup actions. Qual. Theory Dyn. Syst. 20 (2021), no. 2, Paper No. 50, 41 pp.
  13. D. Dikranjan, A. Giordano Bruno, F. G. Russo: Finiteness of topological entropy for locally compact abelian groups. Glasg. Math. J. 63 (2021), no. 1, 81-105.
  14. A. Biś, D. Dikranjan, A. Giordano Bruno, L. Stoyanov: Topological entropy, upper Carathéodory capacity and fractal dimensions of semigroup actions. Colloq. Math. 163 (2021), no. 1, 131-151.
  15. A. Biś, D. Dikranjan, A. Giordano Bruno, L. Stoyanov: Algebraic entropies of commuting endomorphisms of torsion abelian groups. Rend. Semin. Mat. Univ. Padova 144 (2020), 45-60.
  16. A. Giordano Bruno, F. Salizzoni: Additivity of the algebraic entropy for locally finite groups with permutable finite subgroups. J. Group Theory 23 (2020), no. 5, 831-846.
  17. D. Dikranjan, A. Fornasiero, A. Giordano Bruno: Algebraic entropy for amenable semigroup actions. J. Algebra 556 (2020), 467-546.
  18. A. Giordano Bruno: A Bridge Theorem for the entropy of semigroup actions. Topol. Algebra Appl. 8 (2020), no. 1, 46-57.
  19. A. Giordano Bruno, P. Spiga: Milnor-Wolf Theorem for the growth of group endomorphisms. J. Algebra 546 (2020), 85-118.
  20. D. Dikranjan, A. Giordano Bruno: Entropy on normed semigroups (Towards a unifying approach to entropy). Dissertationes Math. 542 (2019), 90 pp.
  21. A. Giordano Bruno, M. Shlossberg, D. Toller: Algebraic entropy on strongly compactly covered groups. Topology Appl. 263 (2019), 117-140.
  22. I. Castellano, A. Giordano Bruno: Topological entropy on locally linearly compact vector spaces. Topology Appl. 252 (2019), 112-144.
  23. R. Di Santo, D. Dikranjan, A. Giordano Bruno: Characterized subgroups of the circle group. Ric. Mat. 67 (2018), no. 2, 625-655.
  24. I. Castellano, A. Giordano Bruno: Algebraic entropy on locally linearly compact vector spaces, Springer, Cham, 2017, 103-127. ISBN: 978-3-319-65872-8; 978-3-319-65874-2
  25. G. Barbieri, D. Dikranjan, A. Giordano Bruno, H. Weber: Dirichlet sets vs characterized subgroups. Topology Appl. 231 (2017), 50-76.
  26. A. Giordano Bruno, P. Spiga: Some properties of the growth and of the algebraic entropy of group endomorphisms. J. Group Theory 20 (2017), no. 4, 763-774.
  27. A. Giordano Bruno, S. Virili: Topological entropy in totally disconnected locally compact groups. Ergodic Theory Dynam. Systems 37 (2017), no. 7, 2163-2186.
  28. G. Barbieri, A. Giordano Bruno, H. Weber: Inclusions of characterized subgroups of R, Topology Appl. 221 (2017), 534-555.
  29. D. Dikranjan, A. Giordano Bruno: Entropy on abelian groups. Adv. Math. 298 (2016), 612-653.
  30. A. Giordano Bruno, S. Virili: About the Algebraic Yuzvinski Formula. Topol. Algebra Appl. 3 (2015), no. 1, 86-103.
  31. D. Dikranjan, A. Giordano Bruno, D. Impieri: Characterized subgroups of topological abelian groups. Axioms 4 (2015), 459-491.
  32. D. Dikranjan, A. Giordano Bruno, L. Salce, S. Virili: Intrinsic algebraic entropy. J. Pure Appl. Algebra 219 (2015), no. 7, 2933-2961.
  33. A. Giordano Bruno: Topological entropy for automorphisms of totally disconnected locally compact groups. Topology Proc. 45 (2015), 175-187.
  34. D. Dikranjan, A. Giordano Bruno: A factorization theorem for topological abelian groups. Comm. Algebra 43 (2015), no. 1, 212-224.
  35. A. Giordano Bruno, S. Virili: Algebraic Yuzvinski Formula. J. Algebra 423 (2015), 114-147.
  36. F. Berlai, D. Dikranjan, A. Giordano Bruno: Two ways of measuring chaos in locally compact totally disconnected groups. RIMS Kôkyûroku 1932 (2015), 60-66.
  37. D. Dikranjan, A. Giordano Bruno: The Bridge Theorem for totally disconnected LCA groups. Topology Appl. 169 (2014), 21-32.
  38. D. Dikranjan, A. Giordano Bruno, L. Salce, S. Virili: Fully inert subgroups. J. Group Theory 16 (2013), no. 6, 915-939.
  39. D. Dikranjan, A. Giordano Bruno: Compact groups with a dense free abelian subgroup. Rend. Istit. Mat. Univ. Trieste 45 (2013), 137-150.
  40. F. Berlai, D. Dikranjan, A. Giordano Bruno: Scale function vs Topological entropy. Topology Appl. 160 (2013), no. 18, 2314-2334.
  41. D. Dikranjan, A. Giordano Bruno: Discrete dynamical systems in group theory, Note Mat. 33 (2013), no. 1, 1-48.
  42. D. Dikranjan, A. Giordano Bruno: Entropy in a category. Appl. Categ. Structures 21 (2013), no. 1, 67-101.
  43. D. Dikranjan, A. Giordano Bruno: Limit free computation of entropy. Rend. Istit. Mat. Univ. Trieste 44 (2012), 297-312.
  44. A. Giordano Bruno, S. Virili: String numbers of abelian groups. J. Algebra Appl. 11 (2012), no. 4, 1250161, 30 pp.
  45. D. Dikranjan, A. Giordano Bruno: Topological entropy and algebraic entropy for group endomorphisms, Proceedings ICTA2011 Islamabad, Pakistan July 4-10 2011 Cambridge Scientific Publishers 133-214.
  46. D. Dikranjan, A. Giordano Bruno: The connection between topological and algebraic entropy. Topology Appl. 159 (2012), no. 13, 2980-2989.
  47. A. Giordano Bruno: Adjoint entropy vs Topological entropy. Topology Appl. 159 (2012), no. 9, 2404-2419.
  48. A. Giordano Bruno, L. Salce: A soft introduction to algebraic entropy. Arab. J. Math. (Springer) 1 (2012), no. 1, 69-87.
  49. D. Dikranjan, A. Giordano Bruno: The Pinsker subgroup of an algebraic flow. J. Pure Appl. Algebra 216 (2012), no. 2, 364-376.
  50. D. Dikranjan, A. Giordano Bruno: Functorial topologies and finite-index subgroups of abelian groups. Topology Appl. 158 (2011), no. 17, 2391-2407.
  51. D. Dikranjan, A. Giordano Bruno, S. Virili: Strings of group endomorphisms. J. Algebra Appl. 9 (2010), no. 6, 933-958.
  52. D. Dikranjan, A. Giordano Bruno, L. Salce: Adjoint algebraic entropy. J. Algebra 324 (2010), no. 3, 442-463.
  53. A. Giordano Bruno: Algebraic entropy of shift endomorphisms on products. Comm. Algebra 38 (2010), no. 11, 4155-4174.
  54. M. Akhavin, F. Ayatollah Zadeh Shirazi, D. Dikranjan, A. Giordano Bruno, A. Hosseini: Algebraic entropy of shift endomorphisms on abelian groups. Quaest. Math. 32 (2009), no. 4, 529-550.
  55. D. Dikranjan, A. Giordano Bruno, D. Shakhmatov: Minimal pseudocompact group topologies on free abelian groups. Topology Appl. 156 (2009), no. 12, 2039-2053.
  56. D. Dikranjan, A. Giordano Bruno: Arnautov's problems on semitopological isomorphisms. Appl. Gen. Topol. 10 (2009), no. 1, 85-119.
  57. A. Giordano Bruno: Extremal α-pseudocompact abelian groups. Forum Math. 21 (2009), no. 4, 639-659.
  58. D. Dikranjan, A. Giordano Bruno: w-Divisible groups. Topology Appl. 155 (2008), no. 4, 252-272.
  59. D. Dikranjan, A. Giordano Bruno: Pseudocompact totally dense subgroups. Proc. Amer. Math. Soc. 136 (2008), no. 3, 1093-1103.
  60. A. Giordano Bruno: Semitopological homomorphisms. Rend. Semin. Mat. Univ. Padova 120 (2008), 79-126.
  61. A. Giordano Bruno: Dense minimal pseudocompact subgroups of compact abelian groups. Topology Appl. 155 (2008), no. 17-18, 1919-1928.
  62. D. Dikranjan, A. Giordano Bruno, C. Milan: Weakly metrizable pseudocompact groups. Appl. Gen. Topol. 7 (2006), no. 1, 1-39.

    63. Ph.D. Thesis

  63. A. Giordano Bruno: Cardinal invariants of topological groups and applications to κ-pseudocompact groups, Tesi di Dottorato, Università degli Studi di Udine, relatore: Prof. D. Dikranjan (2008), pp. i-xvi, 1-117. pdf