Publications

    Preprint

  1. D. Dikranjan, A. Giordano Bruno: Small essential dense subgroups of compact abelian groups, preprint.
  2. D. Dikranjan, A. Giordano Bruno, L. Salce: Adjoint intrinsic algebraic entropy, preprint.
  3. A. Biś, D. Dikranjan, A. Giordano Bruno, L. Stoyanov: Topological receptive entropy, preprint.
  4. A. Biś, D. Dikranjan, A. Giordano Bruno, L. Stoyanov: Algebraic receptive entropy, preprint.
  5. D. Dikranjan, A. Fornasiero, A. Giordano Bruno: Entropy of generalized shifts, preprint.
  6. G. Barbieri, D. Dikranjan, A. Giordano Bruno, H. Weber: Factorizable subgroups of the circle group, preprint.
  7. D. Dikranjan, A. Giordano Bruno, S. Virili: Bridge Theorem for amenable semigroup actions, preprint.
  8. I. Castellano, A. Giordano Bruno, N. Zava: Weakly weightable generalized quasi-metric spaces and semilattices, preprint.
  9. Submitted

  10. D. Dikranjan, A. Giordano Bruno, H.-P. Künzi, D. Toller, N. Zava: Generalized quasi-metric semilattices (with an application to dynamical systems), submitted.
  11. A. Biś, D. Dikranjan, A. Giordano Bruno, L. Stoyanov: Metric vs topological receptive entropy for semigroup actions, submitted.
  12. D. Dikranjan, A. Fornasiero, A. Giordano Bruno, F. Salizzoni: The addition theorem for locally monotileable monoid actions, submitted.
  13. To appear

  14. I. Castellano, D. Dikranjan, D. Freni, A. Giordano Bruno, D. Toller: Intrinsic entropy for generalized quasimetric semilattices, to appear in Journal of Algebra and its Applications.
  15. Published

  16. D. Dikranjan, A. Giordano Bruno, F. G. Russo: Finiteness of topological entropy for locally compact abelian groups, Glasgow Mathematical Journal 63 (2021) 81-105.
  17. A. Biś, D. Dikranjan, A. Giordano Bruno, L. Stoyanov: Topological entropy, upper Carathéodory capacity and fractal dimensions of semigroup actions, Colloquium Mathematicum 163 (2021) 131-151.
  18. A. Biś, D. Dikranjan, A. Giordano Bruno, L. Stoyanov: Algebraic entropies of commuting endomorphisms of torsion abelian groups, Rendiconti del Seminario Matematico dell'Univerisità di Padova 144 (2020) 45-60.
  19. A. Giordano Bruno, F. Salizzoni: Additivity of the algebraic entropy for locally finite groups with permutable finite subgroups, Journal of Group Theory 23 (2020) 831-846.
  20. D. Dikranjan, A. Fornasiero, A. Giordano Bruno: Algebraic entropy for amenable semigroup actions, Journal of Algebra 556 (2020) 467-546.
  21. A. Giordano Bruno: A Bridge Theorem for the entropy of semigroup actions, Topological Algebra and its Applications 8 (2020) 46-57.
  22. A. Giordano Bruno, P. Spiga: Milnor-Wolf Theorem for the growth of group endomorphisms, Journal of Algebra 546 (2020) 85-118.
  23. D. Dikranjan, A. Giordano Bruno: Entropy on normed semigroups (Towards a unifying approach to entropy), Dissertationes Mathematicae 542 (2019) 1-90.
  24. A. Giordano Bruno, M. Shlossberg, D. Toller: Algebraic entropy on strongly compactly covered groups, Topology and its Applications 263 (2019) 117-140.
  25. I. Castellano, A. Giordano Bruno: Topological entropy on locally linearly compact vector spaces, Topology and its Applications 252 (2019) 112-144.
  26. R. Di Santo, D. Dikranjan, A. Giordano Bruno: Characterized subgroups of the circle group, Ricerche di Matematica 67 (2018) 625-655.
  27. I. Castellano, A. Giordano Bruno: Algebraic entropy on locally linearly compact vector spaces, Rings, polynomials, and modules 103-127, Springer Cham, 2017.
  28. G. Barbieri, A. Giordano Bruno, H. Weber: Inclusions of characterized subgroups of R, Topology and its Applications 221 (2017) 534-555.
  29. G. Barbieri, D. Dikranjan, A. Giordano Bruno, H. Weber: Dirichlet sets vs characterized subgroups, Topology and its Applications 231 (2017) 50-76.
  30. A. Giordano Bruno, P. Spiga: Some properties of the growth and of the algebraic entropy of group endomorphisms, Journal of Group Theory 20 (2017) 763-774.
  31. A. Giordano Bruno, S. Virili: Topological entropy in totally disconnected locally compact groups, Ergodic Theory and Dynamical Systems 37 (2017) 2163-2186.
  32. D. Dikranjan, A. Giordano Bruno: Entropy on abelian groups, Advances in Mathematics 298 (2016) 612-653.
  33. A. Giordano Bruno, S. Virili: On the Algebraic Yuzvinski Formula, Topological Algebra and its Applications 3 (2015) 86-103.
  34. D. Dikranjan, A. Giordano Bruno, D. Impieri: Characterized subgroups of topological abelian groups, Axioms 4 (2015) 459-491.
  35. D. Dikranjan, A. Giordano Bruno, L. Salce, S. Virili: Intrinsic algebraic entropy, Journal of Pure and Applied Algebra 219 (2015) 2933-2961.
  36. A. Giordano Bruno: Topological entropy for automorphisms of totally disconnected locally compact groups, Topology Proceedings 45 (2015) 175-187.
  37. D. Dikranjan, A. Giordano Bruno: A factorization theorem for topological abelian groups, Communications in Algebra 43 (2015) 212-224.
  38. A. Giordano Bruno, S. Virili: Algebraic Yuzvinski Formula, Journal of Algebra 423 (2015) 114-147.
  39. F. Berlai, D. Dikranjan, A. Giordano Bruno: Two ways of measuring chaos in locally compact totally disconnected groups, RIMS Kôkyûroku 1932 (2015) 60-66.
  40. D. Dikranjan, A. Giordano Bruno: The Bridge Theorem for totally disconnected LCA groups, Topology and its Applications 169 (2014) 21-32.
  41. D. Dikranjan, A. Giordano Bruno, L. Salce, S. Virili: Fully inert subgroups, Journal of Group Theory 16 (2013) 915-939.
  42. D. Dikranjan, A. Giordano Bruno: Compact groups with a dense free abelian subgroup, Rendiconti dell'Istituto Matematico dell'Univerisità di Trieste 45 (2013) 137-150.
  43. F. Berlai, D. Dikranjan, A. Giordano Bruno: Scale function vs Topological entropy, Topology and its Applications 160 (2013) 2314-2334.
  44. D. Dikranjan, A. Giordano Bruno: Discrete dynamical systems in group theory, Note di Matematica 33 (2013) 1-48.
  45. D. Dikranjan, A. Giordano Bruno: Entropy in a category, Applied Categorical Structures 21 (2013) 67-101.
  46. D. Dikranjan, A. Giordano Bruno: Limit free computation of entropy, Rendiconti dell'Istituto Matematico dell'Univerisità di Trieste 44 (2012) 297-312.
  47. A. Giordano Bruno, S. Virili: String numbers of abelian groups, Journal of Algebra and its Applications 11 (2012) 125-161.
  48. 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.
  49. D. Dikranjan, A. Giordano Bruno: The connection between topological and algebraic entropy, Topology and its Applications 159 (2012) 2980-2989.
  50. A. Giordano Bruno: Adjoint entropy vs Topological entropy, Topology and its Applications 159 (2012) 2404-2419.
  51. A. Giordano Bruno, L. Salce: A soft introduction to algebraic entropy, Arabian Journal of Mathematics 1 (2012) 69-87.
  52. D. Dikranjan, A. Giordano Bruno: The Pinsker subgroup of an algebraic flow, Journal of Pure and Applied Algebra (2012) 364-376.
  53. D. Dikranjan, A. Giordano Bruno: Functorial topologies and finite-index subgroups of abelian groups, Topology and its Applications 158 (2011) 2391-2407.
  54. D. Dikranjan, A. Giordano Bruno, S. Virili: Strings of group endomorphisms, Journal of Algebra and its Applications 9 (2010) 933-958.
  55. D. Dikranjan, A. Giordano Bruno, L. Salce: Adjoint algebraic entropy, Journal of Algebra 324 (2010) 442-463.
  56. A. Giordano Bruno: Algebraic entropy of shift endomorphisms on products, Communications in Algebra 38 (2010) 4155-4174.
  57. M. Akhavin, F. Ayatollah Zadeh Shirazi, D. Dikranjan, A. Giordano Bruno, A. Hosseini: Algebraic entropy of shift endomorphisms on abelian groups, Quaestiones Mathematicae 32 (2009) 529-550.
  58. D. Dikranjan, A. Giordano Bruno, D. Shakhmatov: Minimal pseudocompact group topologies on free abelian groups, Topology and its Applications 156 (2009) 2039-2053.
  59. D. Dikranjan, A. Giordano Bruno: Arnautov's problems on semitopological isomorphisms, Applied General Topology 10 (2009) 85-119.
  60. A. Giordano Bruno: Extremal α-pseudocompact abelian groups, Forum Mathematicum 21 (2009) 639-659.
  61. D. Dikranjan, A. Giordano Bruno: w-Divisible groups, Topology and its Applications 155 (2008) 252-272.
  62. D. Dikranjan, A. Giordano Bruno: Pseudocompact totally dense subgroups, Proceedings of the American Mathematical Society 136 (2008) 1093-1103.
  63. A. Giordano Bruno: Semitopological homomorphisms, Rendiconti del Seminario Matematico dell'Univerisità di Padova 120 (2008) 79-126.
  64. A. Giordano Bruno: Dense minimal pseudocompact subgroups of compact abelian groups, Topology and its Applications 155 (2008) 1919-1928.
  65. D. Dikranjan, A. Giordano Bruno, C. Milan: Weakly metrizable pseudocompact groups, Applied General Topology 7 (2006) 1-39.
  66. Ph.D. Thesis

  67. 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