Publications

    Monographs

  1. L. Aussenhofer, D. Dikranjan, A. Giordano Bruno: Topological Groups and the Pontryagin-van Kampen Duality. An Introduction, de Gruyter Studies in Mathematics Volume 83, de Gruyter, 2022.
  2. Preprint

  3. D. Dikranjan, A. Giordano Bruno: Small essential dense subgroups of compact abelian groups, preprint.
  4. D. Dikranjan, A. Giordano Bruno, L. Salce: Adjoint intrinsic algebraic entropy, preprint.
  5. D. Dikranjan, A. Fornasiero, A. Giordano Bruno: Entropy of generalized shifts, preprint.
  6. I. Castellano, A. Giordano Bruno, N. Zava: Weakly weightable generalized quasi-metric spaces and semilattices, preprint.
  7. Submitted

  8. D. Dikranjan, A. Giordano Bruno, S. Virili: Ore localization of amenable monoid actions and applications towards entropy - addition formulas and the bridge theorem, preprint.
  9. To appear

  10. G. Barbieri, D. Dikranjan, A. Giordano Bruno, H. Weber: Factorizable subgroups of the circle group, to appear in Topology and its Applications.
  11. Published

  12. D. Dikranjan, A. Fornasiero, A. Giordano Bruno, F. Salizzoni: The addition theorem for locally monotileable monoid actions, Journal of Pure and Applied Algebra 227 (2023), no. 1, 107113.
  13. D. Dikranjan, A. Giordano Bruno, H.-P. Künzi, D. Toller, N. Zava: Generalized quasi-metric semilattices, Topology and its Applications 309 (2022), Paper No. 107916, 35 pp.
  14. I. Castellano, D. Dikranjan, D. Freni, A. Giordano Bruno, D. Toller: Intrinsic entropy for generalized quasimetric semilattices, Journal of Algebra and its Applications 21 (2022), no. 10, 2250244, 24 pp.
  15. A. Biś, D. Dikranjan, A. Giordano Bruno, L. Stoyanov: Metric vs topological receptive entropy for semigroup actions, Qualitative Theory of Dynamical Systems 20 (2021), no. 2, Paper No. 50, 41 pp.
  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